I need help with this kind of math please. I have tried doing it but I’m so lost and confused

I Need Help With This Kind Of Math Please. I Have Tried Doing It But Im So Lost And Confused

Answers

Answer 1

GF < GE < EF

Explanation:

The given angles:

∠G = 74°

∠F = 65°

∠G + ∠F + ∠E = 180° (sum of angles in a triangle)

74 + 65 + ∠E = 180

139 + ∠E = 180

∠E = 180 - 139

∠E = 41°

The size of the side length of the triangles corresponds the size of the angles.

The higher the angle, the higher the side length and viceversa

∠E corresponds to side GF

∠F corresponds to side GE

∠G corresponds to side EF

∠E = 41 is the lowest, followed by ∠F = 65, highest is ∠G = 74

From least to greatest:

GF < GE < EF


Related Questions

Eighth grade 0.12 Exterior Angle Theorem FMP What is m_1? 1 470 670 Q m21 =

Answers

we know that

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so

Applying the Exterior Angle Theorem

m<1=67+47

m<1=114 degrees

Which list orders the numbers from least to greatest?
[tex]\pi \: 4.3 \: 3.6 \: 13 \: \sqrt{19} [/tex]

Answers

Answer:

[tex]\pi[/tex], 3.6, 4.3, [tex]\sqrt{19}[/tex], 13

Step-by-step explanation:

[tex]\pi[/tex]≈ 3.14  This is an approximation because [tex]\pi[/tex] never repeats or terminates.

[tex]\sqrt{19}[/tex]  This is also a number that never repeats or terminates.  If you put this in your calculator, I estimated it to

4.359

Using this information, I put the numbers in order.

The director of an alumni association for a small college wants to determine whether there is any type of relationship between an alum’s contribution (in dollars) and the number of years the alum has been out of school. The data follow.

Answers

[tex]\begin{gathered} \hat{y}=bX+a \\ so\colon \\ \hat{y}=-50.43919X+453.17568 \end{gathered}[/tex]

----------------------------

b)

[tex]\begin{gathered} X=4 \\ \hat{y}(4)=-50.43919(4)+453.17568 \\ \hat{y}(4)=-201.75676+453.17568 \\ \hat{y}(4)=251.41892 \end{gathered}[/tex]

4. McKenzie wants to determine which ice cream option is the best choice. The chart below gives the description and prices for her options. Use the space below each item to record your findings. Place work below the chart. A scoop of ice cream is considered a perfect sphere and has a 2-inch diameter. A cone has a 2-inch diameter and a height of 4.5 inches. A cup, considered a right circular cylinder, has a 3-inch diameter and a height of 2 inches. a. Determine the volume of each choice. Use 3.14 to approximate pi. b. Determine which choice is the best value for her money. Explain your reasoning. (That means some division, you decide which.) $2.00 $3.00 $4.00 One scoop in a сир Two scoops in a cup Three scoops in a cup Half a scoop on a cone filled with ice cream A cup filled with ice cream (level to the top of the cup)

Answers

McKenzie wants to determine which ice cream option is the best choice.

Part (a)

Volume of Scoop:

A scoop of ice cream is considered a perfect sphere and has a 2-inch diameter.

The volume of the sphere is given by

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

Where r is the radius.

We know that radius is half of the diameter.

[tex]r=\frac{D}{2}=\frac{2}{2}=1[/tex]

So, the volume of a scoop of ice cream is

[tex]V_{\text{scoop}}=\frac{4}{3}\cdot3.14\cdot(1)^3=\frac{4}{3}\cdot3.14\cdot1=4.19\: in^3[/tex]

Therefore, the volume of a scoop of ice cream is 4.19 in³

Volume of Cone:

A cone has a 2-inch diameter and a height of 4.5 inches.

The volume of a cone is given by

[tex]V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]

Where r is the radius and h is the height of the cone.

We know that radius is half of the diameter.

[tex]r=\frac{D}{2}=\frac{2}{2}=1[/tex]

So, the volume of a cone of ice cream is

[tex]V_{\text{cone}}=\frac{1}{3}\cdot3.14\cdot(1)^2\cdot4.5=\frac{1}{3}\cdot3.14\cdot1^{}\cdot4.5=4.71\: in^3[/tex]

Therefore, the volume of a cone of ice cream is 4.71 in³

Volume of Cup:

A cup, considered a right circular cylinder, has a 3-inch diameter and a height of 2 inches.

The volume of a right circular cylinder is given by

[tex]V=\pi\cdot r^2\cdot h[/tex]

Where r is the radius and h is the height of the right circular cylinder.

We know that radius is half of the diameter.

[tex]r=\frac{D}{2}=\frac{3}{2}=1.5[/tex]

So, the volume of a cup of ice cream is

[tex]V_{\text{cup}}=3.14\cdot(1.5)^2\cdot2=3.14\cdot2.25\cdot2=14.13\: in^3[/tex]

Therefore, the volume of a cup of ice cream is 14.13 in³

Part (b)

Now let us compare the various given options and decide which option is the best value for money

Option 1:

The price of one scoop in a cup is $2

The volume of one scoop of ice cream is 4.19 in³

[tex]rate=\frac{4.19}{\$2}=2.095\: [/tex]

Option 2:

The price of two scoops in a cup is $3

The volume of one scoop of ice cream is 4.19 in³

[tex]rate=\frac{2\cdot4.19}{\$3}=2.793\: [/tex]

Option 3:

The price of three scoops in a cup is $4

The volume of one scoop of ice cream is 4.19 in³

[tex]rate=\frac{3\cdot4.19}{\$4}=3.1425[/tex]

Option 4:

The price of half a scoop in a cone is $2

The volume of one scoop of ice cream is 4.19 in³

The volume of one cone of ice cream is 4.71 in³

[tex]rate=\frac{\frac{4.19}{2}+4.71}{\$2}=\frac{2.095+4.71}{\$2}=\frac{6.805}{\$2}=3.4025[/tex]

Option 5:

The price of a cup filled with ice cream is $4

The volume of a cup is 14.13 in³

[tex]rate=\frac{14.13}{\$4}=3.5325[/tex]

As you can see, the option 5 (a cup filled with ice cream) has the highest rate (volume/$)

This means that option 5 provides the best value for money.

Therefore, McKenzie should choose "a cup filled with ice cream level to the top of cup" for the best value for money.

-1010The graph of the equation y - 272. 2 is shown. Which equation will shift the graph up 3 units?A)ya 2x²y=2x-1y=2x²-3D)y = 2(x+3)²

Answers

f(x) + 3, translates f(x) 3 units up

In this case, the function is y = 2x² - 2.

Applying the above rule, we get:

y = 2x² - 2 + 3

y = 2x² + 1

Find the equation of the line connecting the points (2,0) and (3,15). Write your final answer in slope-intercept form.

Answers

The first step to find the equation of the line is to find its slope. To do it, we need to use the following formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Where y2 and y1 are the y coordinates of 2 given points on the line, and x2 and x1 are the x coordinates of the same points. m is the slope.

Replace for the given values and find the slope:

[tex]m=\frac{15-0}{3-2}=\frac{15}{1}=15[/tex]

Now, use one of the given points and the slope in the point slope formula:

[tex]y-y1=m(x-x1)[/tex]

Replace for the known values:

[tex]\begin{gathered} y-0=15(x-2) \\ y=15x-30 \end{gathered}[/tex]

The equation of the line is y=15x-30

Type your solution out or write it as anordered pair.

Answers

Answer:

No Solution

Explanation:

Given the system of equations:

[tex]\begin{gathered} y=-x+3 \\ y=-x+5 \end{gathered}[/tex]

Using elimination, on subtracting, we have:

[tex]\begin{gathered} 0=-2 \\ \text{But:} \\ 0\neq-2 \end{gathered}[/tex]

Therefore, the system of equations has No Solution.

Help in solving for y. Need to know the slope and y-intercept in the equation

Answers

Given the following equation:

8x - 5y = 10

then, we can solve it for y as follows:

5y = 8x -10

y = (8/5)x - (10/5)

y = (8/5)x - 2

So, the slope is m = 8/5 and the y-intercept is yo = -2.

Please help me with this word problem quickly, work is needed thank you!

Answers

Given:

Sheila can wash her car in 15 minutes. Bob takes time twice as long to wash the same car.

Required:

Find the time they take both together.

Explanation:

Sheila can wash her car in 15 minutes.

Work done by sheila in a minute =

[tex]\frac{1}{15}\text{ }[/tex]

Bob takes time twice as long to wash the same car. He washes the car in 30 minutes.

Work done by Bob in a minute

[tex]=\frac{1}{30}[/tex]

If they work together let them take time x per minute.

[tex]\frac{1}{15}+\frac{1}{30}=\frac{1}{x}[/tex]

Solve by taking L.C. M.

[tex]\begin{gathered} \frac{2+1}{30}=\frac{1}{x} \\ \frac{3}{30}=\frac{1}{x} \\ \frac{1}{10}=\frac{1}{x} \\ x=10\text{ minutes.} \end{gathered}[/tex]

If they work together they will take 10 minutes.

Final Answer:

Sheila and Bob wash the car together in 10 minutes.

write an equation if a circle has a center of (3,-1) and the diameter 8

Answers

Answer:

[tex](x-3)^2+(y+1)^2=16[/tex]

Explanation:

The equation of a circle with center (h, k) and radius of r is generally given as;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Given the center of the circle as (3, -1) and the diameter of 8 (r = d/2 = 8/2 = 4), the equation of the circle can then be written as shown below;

[tex]\begin{gathered} (x-3)^2+\lbrack y-(-1)\rbrack^2=4^2 \\ (x-3)^2+(y+1)^2=16 \end{gathered}[/tex]

Percents build on one another in strange ways. It would seem that if you increased a number by 5% and thenincreased its result by 5% more, the overall increase would be 10%.7. Let's do exactly this with the easiest number to handle in percents.(a) Increase 100 by 5%(b) Increase your result form (a) by 5%.(C) What was the overall percent increase of the number 100? Why is it not 10%?

Answers

Answer:

a) 105

b) 110.25

c) Increase of 10.25%. It is not 100% because the second increase of 5% is over the first increased value, not over the initial value.

Step-by-step explanation:

Increase and multipliers:

Suppose we have a value of a, and want a increse of x%. The multiplier of a increase of x% is given by 1 + (x/100). So the increased value is (1 + (x/100))a.

(a) Increase 100 by 5%

The multiplier is 1 + (5/100) = 1 + 0.05 = 1.05

1.05*100 = 105

(b) Increase your result form (a) by 5%.

1.05*105 = 110.25

(C) What was the overall percent increase of the number 100? Why is it not 10%?

110.25/100 = 1.1025

1.1025 - 1 = 0.1025

Increase of 10.25%. It is not 100% because the second increase of 5% is over the first increased value, not over the initial value.

Decide whether the word problem represents a linear or exponential function. Circle either linear or exponential. Then, write the function formula.

Answers

a. The given table is

Notice, the value of x increases at equal intervals of 1

Also, the value of y increases at an equal interval of 3

This means for the y values the difference between consecutive terms is 3

Also, for the x values, the difference between consecutive terms is 1

Hence, the table represents a linear function

The general form of a linear function is

[tex]y=mx+c[/tex]

Where m is the slope

From the interval increase

[tex]m=\frac{\Delta y}{\Delta x}=\frac{3}{1}=3[/tex]

Hence, m = 3

The equation becomes

[tex]y=3x+c[/tex]

To get c, consider the values

x = 0 and y = 2

Thi implies

[tex]\begin{gathered} 2=3(0)+c \\ c=2 \end{gathered}[/tex]

Hence, the equation of the linear function is

[tex]y=3x+2[/tex]

b. The given table is

Following the same procedure as in (a), it can be seen that there is no constant increase in the values of y

Hence, the function is not linear

This implies that the function is exponential

The general form of an exponential function is given as

[tex]y=a\cdot b^x[/tex]

Consider the values

x =0, y = 3

Substitute x = 0, y = 3 into the equation

This gives

[tex]\begin{gathered} 3=a\times b^0 \\ \Rightarrow a=3 \end{gathered}[/tex]

The equation become

[tex]y=3\cdot b^x[/tex]

Consider the values

x =1, y = 6

Substitute x = 1, y = 6 into the equation

This gives

[tex]\begin{gathered} 6=3\cdot b^1 \\ \Rightarrow b=\frac{6}{3}=2 \end{gathered}[/tex]

Therefore the equation of the exponential function is

[tex]y=3\cdot2^x[/tex]

c. The given table is

As with (b) above,

The function is exponential

Using

[tex]y=a\cdot b^x[/tex]

When

x = 0, y = 10

This implies

[tex]\begin{gathered} 10=a\cdot b^0 \\ \Rightarrow a=10 \end{gathered}[/tex]

The equation becomes

[tex]y=10\cdot b^x[/tex]

Also, when

x = 1, y =5

The equation becomes

[tex]\begin{gathered} 5=10\cdot b^1 \\ \Rightarrow b=\frac{5}{10} \\ b=\frac{1}{2} \end{gathered}[/tex]

Therefore, the equation of the exponential function is

[tex]y=10\cdot(\frac{1}{2})^x[/tex]

I am asked to graph f(x) = (- 1/x-2) -1

Answers

Answer

[tex]f(x)=-\frac{1}{x-2}-1[/tex]

Solve. 4 + x/7 = 2Question 3 options:12-144210

Answers

[tex]x=-14[/tex]

1) Since we have a Rational Equation let's proceed with that, isolating the x on one side and then we can get rid of that fraction. This way:

[tex]\begin{gathered} 4+\frac{x}{7}=2 \\ 4-4+\frac{x}{7}=2-4 \\ \frac{x}{7}=-2 \end{gathered}[/tex]

Notice that now, we're going to get rid of that fraction on the left side, multiplying it by 7 (both sides) :

[tex]\begin{gathered} 7\times\frac{x}{7}=-2\times7 \\ x=-14 \end{gathered}[/tex]

Thus, the answer is -14

Determine the angle of rotation of the conic section given by: 32x2 +50xy + 7y2 = 100 (round your answer to the nearest tenth of adegree).

Answers

The formula to obtain the angle of rotation is as follows:

[tex]\cot 2\theta=\frac{A-C}{B}[/tex]

Compare the given equation to the general equation of a conic.

[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]

Thus, the values of A, B, and C are as follows.

[tex]\begin{gathered} A=32 \\ B=50 \\ C=7 \end{gathered}[/tex]

Substitute the values into the equation.

[tex]\begin{gathered} \cot 2\theta=\frac{32-7}{50} \\ \cot 2\theta=\frac{25}{50} \\ \cot 2\theta=\frac{1}{2} \end{gathered}[/tex]

Find the value of the θ.

[tex]\begin{gathered} \frac{1}{\tan 2\theta}=\frac{1}{2} \\ \tan 2\theta=2 \\ 2\theta=\tan ^{-1}(2) \\ 2\theta\approx63.4349 \\ \theta\approx31.7 \end{gathered}[/tex]

I need help please there are two parts when we are done with part one the next part shows :) now can I get help

Answers

The months in which the income was greater than the expenses are:

June, July and August

Find the area of the shaded part of the figure if a=6, b=7, c=4. (I need help on this)

Answers

To obtain the area(A) of the shaded part of the figure, we will sum up the area of the triangle and the area of the rectangle.

Let us solve the area of the triangle(A1) first,

The formula for the area of the triangle is,

[tex]A_1=\frac{1}{2}\times base\times\text{height}[/tex]

where,

[tex]\begin{gathered} base=b=7 \\ height=a=6 \end{gathered}[/tex]

Therefore,

[tex]A_1=\frac{1}{2}\times7\times6=21unit^2[/tex]

Hence, the area of the triangle is 21 unit².

Let us now solve for the area of the rectangle(A2)

The formula for the area of the rectangle is

[tex]A_2=\text{length}\times width[/tex]

Where,

[tex]\begin{gathered} \text{length}=b=7 \\ \text{width}=c=4 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} A_2=7\times4=28 \\ \therefore A_2=28\text{unit}^2 \end{gathered}[/tex]

Hence, the area of the rectangle is 28unit².

Finally, the total area of the shaded area is

[tex]\begin{gathered} A=A_1+A_2=21+28=49 \\ \therefore A=49unit^2 \end{gathered}[/tex]

Hence, the area of the shaded part is 49unit² (OPTION A).

A woman transit in her room tour, which got 40 miles per gallon on the highway and purchased a new car which is 28 miles per gallon. What is the percent of decrease in mileage

Answers

The percent of decrease in mileage is 30%.

How to calculate the percentage?

From the information, the woman transit in her room tour, which got 40 miles per gallon on the highway and purchased a new car which is 28 miles per gallon. The decrease will be:

= 40 - 28 = 12 miles per gallon.

The percentage decrease will be:

= Decrease in mileage / Initial mileage × 100

= 12/40 × 100

= 3/10 × 100

= 30%

This illustrates the concept of percentage.

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Can yoy help me with number 3? I do not understand the question.

Answers

The law of sines states that:

[tex]\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}=\frac{\sin \gamma}{c}[/tex]

where alpha is the opposite angle to side a, beta is the opposite angle to side b and gamma is the opposite angle to side c.

For the triangle given we notice that:

Angle x is opposite to side 2.5.

Angle 28° is opposite to side 3.

Therefore the expression to find x is:

[tex]\frac{\sin x}{2.5}=\frac{\sin 28}{3}[/tex]

jonathans science class places weights on a scale during an experiment. each weight weighs 0.2 kilograms. if the class puts 16 weights on the scale at the same time, what will the scale read?

Answers

Given the scale reading:

Each weight weighs 0.2 kilograms

If the class put 16 weights on the scale

Then the scale reading will be

[tex]\begin{gathered} 1\text{ weight -}\longrightarrow\text{ 0.2 kg} \\ 16\text{ weight -}\longrightarrow\text{ x} \\ x=16\times0.2 \\ x=3.2\operatorname{kg} \end{gathered}[/tex]

Hence the scale reading will be 3.2kg

The figure ABCD is a rectangle. AB = 2 units, AD = 4 units, and AE = FC = 1 unit.Find the area of triangle ABE.

Answers

Area of triangle ABE can be calculated using the formula 1/2 x b xh

From the question,

base b = AE = 1

height h =AB = 2

substitute the values into the formula

[tex]A=\frac{1}{2}\times1\times2[/tex]

Area = 1 square unit

Devon is 30 years old than his son, Milan. The sum of both their ages is 56. Using the variables d and m to represent the ages of Devon and Milan, respectively, write a system of equations to describe this situation. Enter the equations below, separated by a comma.How old is Devon?

Answers

Let's set d as the age of Davon and m as the age of Milan.

Devon is 30 years old than his son Milan, it is represented by the equation:

[tex]d=m+30\text{ Equation (1)}[/tex]

The sum of both ages is 56, the equation that represents the situation is:

[tex]d+m=56\text{ Equation (2)}[/tex]

To find Devon's age, in equation 1, solve for m in terms of d:

[tex]m=d-30[/tex]

Now, replace in equation 2 and solve for d:

[tex]\begin{gathered} d+(d-30)=56 \\ 2d-30=56 \\ 2d=56+30 \\ 2d=86 \\ d=\frac{86}{2} \\ d=43 \end{gathered}[/tex]

Devon is 43 years old.

A biologist wants to determine the effect of a new fertilizer on tomato plants. What would be the control?All PlantsPlants not treated with the Fertilizer.The FertilizerPlants treated with the Fertilizer.

Answers

Remember that the control variable does not change in the experiment or in any study.

So the control here will be all the plants because you can not control the type of the plant.

Answer:b

Step-by-step explanation:

The length of a rectangle is 9 inches more than the width. The perimeter is 34 inches. Find the length I need both length and the width of the rectangle

Answers

Explanation

The perimeter is the sum of the side lengths of a polygon. Now, let it be:

• l,: the length of the rectangle

,

• w,: the width of the rectangle

Considering the information given and the previous definition, we can write and solve the following system of equations.

[tex]\begin{cases}l=9+w\Rightarrow\text{ Equation 1} \\ l+w+l+w=34\Rightarrow\text{ Equation 2}\end{cases}[/tex]

We can use the substitution method to solve the system of equations.

Step 1: We combine like terms in Equation 2.

[tex]\begin{cases}l=9+w\Rightarrow\text{ Equation 1} \\ 2l+2w=34\Rightarrow\text{ Equation 2}\end{cases}[/tex]

Step 2: We substitute the value of l from Equation 1 into Equation 2.

[tex]\begin{gathered} 2l+2w=34 \\ 2(9+w)+2w=34 \end{gathered}[/tex]

Step 3: We solve for w the resulting equation.

[tex]\begin{gathered} \text{ Apply the distributive property on the left side} \\ 2\cdot9+2\cdot w+2w=34 \\ 18+2w+2w=34 \\ \text{ Add similar terms} \\ 18+4w=34 \\ \text{ Subtract 18 from both sides} \\ 18+4w-18=34-18 \\ 4w=16 \\ \text{ Divide by 4 from both sides} \\ \frac{4w}{4}=\frac{16}{4} \\ w=4 \end{gathered}[/tex]

Step 4: We replace the value of w in Equation 1.

[tex]\begin{gathered} \begin{equation*} l=9+w \end{equation*} \\ l=9+4 \\ l=13 \end{gathered}[/tex]

Thus, the solution of the system of equations is:

[tex]\begin{gathered} l=13 \\ w=4 \end{gathered}[/tex]Answer

The length of the rectangle is 13 inches, and the width of the rectangle is 4 inches.

A father is 42 years old and his son is y years old. If the difference of their ages 28 years, what is the value of y?​

Answers

Answer:

Son's age (y) = 14 years

Step-by-step explanation:

According to the question,

Father's age = 42 years

Son's age = y years

Difference between father's & son's age is 28 years. i.e.

Father's age - son's age = 28

42 - y = 28

42 - 28 = y

y = 42 - 28

y = 14

The sum of two numbers is 122. The second number is 25 less than twice the first number. Find the number.

Answers

X+(2x-25)
3x-25=122
3x=147
X=49
49 and 73 are the numbers

The residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 5 to 8 if there were 4275 yes both what was the total number of votes

Answers

The ratio of votes has been given as;

[tex]Yes\colon No\Rightarrow5\colon8[/tex]

This means the ratios can be expressed mathematically as;

[tex]\begin{gathered} \text{Yes}=\frac{5}{5+8}\Rightarrow\frac{5}{13} \\ No=\frac{8}{5+8}\Rightarrow\frac{8}{13} \end{gathered}[/tex]

If there were 4275 YES votes, then this means the number 4275 represents 5/13.

Therefore,

[tex]\frac{5}{13}=\frac{4275}{x}[/tex]

Where x represents the total number of votes. Therefore,

[tex]undefined[/tex]

Please help me I need the answer asap.

Answers

Therefore the right answer is option D = 1. The values of the variables will be obtained when the system of linear equations is solved; this is referred to as the solution of a linear equation.

What are linear equations?An equation with the form Ax+By=C is referred to as a linear equation. It consists of two variables combined with a constant value that exists in each of them. The values of the variables will be obtained when the system of linear equations is solved; this is referred to as the solution of a linear equation. If an equation has the formula y=mx+b, with m representing the slope and b the y-intercept, it is said to be linear.A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).

Hence,

The correct Option is D = 1

Given

[tex]x^2+x-1\\[/tex] = 0

[tex]\frac{1-x}{2x^2} +\frac{ x^2}{2x-2}[/tex] = ?

From  [tex]x^2+x-1\\[/tex] = 0

[tex]x^2 = 1-x[/tex]

Therefore,

[tex]\frac{1-x}{2x^2} +\frac{ x^2}{2x-2}[/tex]  =  [tex]\frac{x^2}{2x^2} + \frac{x^2}{2(x-1)}[/tex]

[tex]\frac{1}{2} + \frac{x^2}{2(x-1)}[/tex]

[tex]\frac{1}{2} + \frac{1}{2}[/tex]

= 1

Therefore the right answer is option D = 1

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Question 6 of 1
For f(x)-3x+1 and g(x)=x²-6, find (f-g)(x).
A. -x²+3x+7
OB.x²-3x-7
O C. 3x²-17
OD. -x²+3x-5

Answers

-x² + 3x + 7 is value of function  .

What is function in math?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

 f(x) = 3x + 1

 g(x) = x² - 6

Then,

According to the' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

Hence,

Option 1st : -x² + 3x + 7 is Correct.

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The length of a wire was measured using two different rulers. How many significant figures are in each measurement?

Answers

We will have the following

In the first image we can see that the maximum you will measure with a good degree of certainty is the unit, and in the next one we wil have that is the unit and a fraction of it, so:

Top: 1 significative figure.

Bottom: 2 significative figures.

Other Questions
how would I solve and what would the answer be? el gato le hizo promesas a la gaviota y se fue a buscar ayuda .se dirigio al restaurantes pero antes de llegar con quienes se encontro y que sucedio?LA HISTORIA DE UNA GAVIOTA Y EL GATO QUE LE ENSEO A VOLAR christmas for needy is a civic organization that provides christmas presents to disadvantaged children. the annual costs of this activity are $36,000, plus $20 per present. how many children will receive presents with a budget of $76,000? which statement accurately describes bariatric surgery options? a. contrary to popular belief, vitamin and mineral deficiencies after surgery are rare. b. surgery might be appropriate for people with a bmi > 40 or >35 with other obesity-related health problems. c. surgery will only work for people proven to be able to achieve adequate weight loss with diet and exercise. d. in most cases, >75 percent of excess weight remains lost ten years after surgery. Sort these events from the story of Dolley Madison in their proper order.The British landed near Washington. A messenger announced the arrival of the British in Washington. President Madison left Washington to try to stop the British. The trunks were loaded on the carriage.Dolley Madison got the painting of George Washington. Dolley Madison packed her trunks with documents.The carriage left the White House as the British Army arrived. help plsssss Enter the missing values in the area model to find 10(8y + 5)+510BoyAccording to the model above, 10(8y + 5) =Submit Answeatte What fraction of $36,000 is $27,000? All of the following ratios are equivalent except 8 to 12 15/102/36:9 Lana and raul are participating in a walk-a-thon at the local community college track to raise money. lana can walk around the track in 4 minutes. raul can walk around the track in 6 minutes. lana and raul started walking at the same time. question: how many minutes will it be until they complete a lap at the same time? [tex]\sqrt{x} x^2+2x-3[/tex] suppose you are a health care worker who is examining a child with the following symptoms: facial and bodily malformations, short attention span, hyperactivity, and motor impairments. which drug would you suspect that the child's mother used during pregnancy? Which two chemicals stimulate the brain tofeel more wired? 5.4 a picture frame hung against a wall is suspended by two wires attached to its upper corners. if the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame? (ignore any friction between the wall and the picture frame., 1. what is the proper method for cleansing the evacuation port of a wound drainage system? a. cleanse it with normal saline. b. wash it with soap and warm water. c. rinse it with sterile water. d. wipe it with an alcohol sponge. The formula to calculate the gravitational force between two objects is F_g=\frac{GM_1M_2}{r^2},F g = r 2GM 1 M 2 , where M_1M 1 and M_2M 2 are the masses of the objects, GG is the gravitational constant and rr is the distance between the objects. Solve for M_2M 2 in terms of F_g,F g , G,G, M_1M 1 and r.r. when auditors encounter evidence of small-scale employee fraud that could not have a material effect upon the financial statements the auditors should what is 0.09 as a percentage? 11. Who commanded the army and oversaw the work of government officialsA. PlebiansB. Patricians melvin charges a fee of $1,080 for merchandise purchased by a customer. assuming that the amount includes 8% of sales tax, melvin should credit sales tax payable for: How many kilojoules are required to melt 15g of ice at 0 degrees celsius and raise the temperature of the liquid that forms to 85 degrees celsius.