[tex]3 {}^{2} + ( - 4 {}^{2} ) + 5 {}^{2} [/tex]I'm confused on that can you help me please?

The value of (f- g)(x) is  2x - 26.

This is a question of subtraction of functions.

Subtraction of functions

The subtraction of function involves the creation of a new function through the addition of two other functions.

Subtraction of one real-valued function from another.

Let h: X → and p: X → be any two real functions, where X ⊆ Real numbers. Then, we can define h - p: X → by h - p x = h(x) – p(x), for all x ∈ X.

Given that:-

f(x) = 2x + 1

g(x) = 27

We have to find the value of (f- g)(x)

We know that,

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

Hence, we can write,

(f- g)(x) = 2x + 1 - 27 = 2x - 26

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Step 1

Write the equation of a line in slope point form

Where;

Step 2

Find the equation to represent the cost of the topsoil.

The equation that represents the cost of the topsoil is

y=30x

Step 3

Find how the cost of the topsoil compares to the cost of the mulch.

Let's begin by listing out the information given to us:

216^(-2n) = (1/6)^(3n+2)

6 is a factor of 216: 216 = 6³

1/6 = 6^(-1)

⇒ 6^(-2*3n) = 6^[(-1*(3n+2)]

⇒ 6^(-6n) = 6^(-3n-2)

Since both sides are in the same base, we equate the exponents. We have:

-6n = -3n - 2

Add "6n" from both sides, we have:

-6n + 6n = -3n + 6n - 2 ⇒ 0 = 3n - 2

⇒ 3n = 2

Answer: .63

Step-by-step explanation: y(11)=7

y(11)/11=7/11

Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

Answer:

2 (4y+7) = 62. y=6

Step-by-step explanation:

2 (4y+7) Distribute the 2

8y+14=62. use subtraction to cancel out

-14 -14

8y=48. Use division to cancel out

/8. /8

y=6

The value that represents the variable x in the trapezoid is 108 degrees

From the question, the trapezoid represents the given parameter

We can see that the trapezoid is an isosceles triangle

This means that the angle x and y are congruent

The sum of angles is a trapezoid is 360 degrees

So, we have the following summation equation

x + x + 72+ 72 = 360

Evaluate the like terms

So, we have

2x + 144= 360

This gives

2x = 216

Divide by 2

x = 108

Hence, the value of x is 108 degrees

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Answer:

C. No because two points with the same x-value have different y-values.

Step-by-step explanation:

(view my screenshot attachment too please)

A function can't have same x-values that appear for multiple different y-values.

In the diagram, (10, 6) and (10, 9) indicate that it isn't a function.

This is because the same 10 appears twice (x-value) but with multiple different y-values (6 and 9).

Answer:

Angle YVX = 59°

Angle Y = 85°

x = 3

Step-by-step explanation:

You got the first two correct.

The last bit, use the fact that the shape is a parallelogram, the opposite sides are equal.

2x = 6

x = 3

Anjelah finished at 1:02 P.M. if she started at 10:15 A.M. and she took 2 hours and 47 minutes to complete it.

According to the question,

We have the following information:

Anjelah finished in 2 hours and 47 minutes.

She started at 10:15 A.M.

Now, we know that there are 60 minutes in an hour (more to know: there are 60 seconds in a minute).

So, we will add 2 hours to 10:15 A.M.:

10:15 + 2:00

12:15 P.M.

(Note that the digits before the colon gives us time in hours and the digits after the colon gives us minutes.)

Now, we will add 47 minutes to it:

12:15 + 0:47

(Now, we know that only 45 minutes can be added to 15 minutes because then it will make an hour. So, 2 more minutes will be added to the next hour.)

So, we have the following expression:

1:02 P.M.

Hence, the time when Anjelah will finish is 1:02 P.M.

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Answer: 36 rides

Step-by-step explanation: Because is you divide 65 by 1.85 you get 35.13513513513514 so just round it to the next integer of 36.

1. When we convert each measurement to pounds, we have

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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Answer:

r=√6a/5m-1

Step-by-step explanation:

m=√6a+r/5r

cross multiply

5mr=√6a+r

5mr-r=√6a

factorise

r(5m-1)=√6a

divide both sides by the coefficient of r

r=√6a/5m-1

hope it helps

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Answer:

hope it helps u

MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER

The average rate of change of the given graph is 31.3

The graph of the function is represented as the given parameter

From the graph, we have the following points

(x, y) = (10, 313) and (20, 626)

The average rate of change is the slope of the function and the average rate of change is calculated as

Average rate = [f(b) - f(a)]/[b - a]

Where

(a, f(a)) = (10, 313) and (b, f(b)) = (20, 626)

Substitute the known values in the above equation

So, we have

Average rate = [626 - 313]/[20 - 10]

Evaluate

Average rate = 31.3

Hence, the average rate is 31.3

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Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation:

Three people: Alan, Betty, Carol

Alan has 9 shares.

Betty has 10 shares.

Carol has 11 shares.

Therefore, there are a total of 9 + 10 + 11 = 30 shares.

Since the profit is $67,500, let's divide this one by the total number of shares.

The profit per share is $2,250.

Since Alan has 9 shares, let's multiply $2,250 to 9.

Therefore, Alan's share must be $20,250.

Let's do the same with Betty and Carol.

To summarize, Alan will receive $20,250, Betty will receive $22,500, and Carol will receive $24,750 from the proft

The expression for the sequence of operations is 2(t x 5).

Expression:

Expression consists of minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Here we have the phrase "multiply t by 5, then double the result"

Now we have to written the algebraic expression for it.

For the given phrase, we have to divide it into two part,

The first part is "multiply t by 5",

So, it can be written as

=> 5 x t

Now, we have to move on to the next part that is,

"double the result".

For that, we have to multiply the first part by 2,

It can be written as,

=> 2 x ( 5 x t)

Therefore, the resulting expression is 2(5t).

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Answer:

y=3x+14

Step-by-step explanation:

First find the point using slope point form.

y-y₁=m(x-x₁)

Put y value in for y₁, x value in for x₁ and slope in for m.

y-2=3(x+4)

Simplify

y-2=3x+12

Solve for y to get slope intercept form Y=mx+b

y=3x+14

Answer: I think it’s C

         The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

        A formula for the question at hand is 2x minus 20 divided by 3 Equals 2x, or (2x - 20) /3 = 2x.

The difference in degrees over the last 24 hours is represented by x in this equation, which predicts temperature change.

We must find x in the given equation.

(2x - 20) /3 = 2x \s (2x - 20) = 3(2x) (2x) ...........(Multiply by 3 on both sides)

2x - 20 + 20 = 6x + 20 ...........(Add 20 to both sides)

2x - 6x = 6x + 20 - 6x ..........(Subtract 6x from both sides) (

-4x = 20 \s x = -5 ..........(Divide by - 4 on both sides)

As a result, x = -5 for the given equation (2x - 20) /3 = 2x.

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Using the angle of elevation, the height of the tree is 71.57 feet.

The angles of elevation to a nearby tree from a point on the ground is measured to be 54 degrees.

The distance from the tree to the point on the ground is 52 feet.

The height of the tree can be found as follows:

The situation can be modelled to a right triangle.

Therefore, the height of the tree is the opposite side of the right triangle formed.

Hence,

tan ∅ = opposite / adjacent

where

∅ = angle of elevation

tan 54 = h / 52

cross multiply

h = 52 tan 54

h = 52 × 1.37638192047

h = 71.5718598645

Therefore,

height of the tree = 71.57 feet.

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Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

solution

Step-by-step explanation:

The equations that have No solution are2t + 1 = 1 + 2t ,  2t + 1 = 2t and  2(t+1) = 2t + 1 , the correct options are (a) , (b) and (c) .

In the question ,

equations are given ,

we have to find which equation have NO Solution .

So,

(a) First equation is given as

2t + 1 = 1 + 2t

On rewriting the terms , we get

2t - 2t = 1 - 1

0 = 1-1 ,

we cannot find the solution of x .

hence this equation has No solution .

(b) equation is

2t + 1 = 2t

On rewriting the terms , we get

2t -2t = -1

0 = -1

hence ,this equation have No Solution .

(c) equation is 2(t+1) = 2t + 1

2t + 2 = 2t + 1

2t - 2t = 1 - 2

0 = -1

hence , this equation have No Solution .

(d) equation is 2t+t=2t+1

3t = 2t + 1

3t - 2t = 1

t = 1

hence , this equation have Unique Solution .

(e) equation is 2t = 1

So, t = 1/2

hence , this equation have Unique Solution .

Therefore , The equations that have No solution are 2t + 1 = 2t and  2(t+1) = 2t + 1 , the correct options are (a) , (b) and (c) .

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Using ratio and proportion, Louie is correct.

Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.

From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).

If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.

FP : PG = 4 : 1

FP/PG = 4/1 = 4

x-coordinate of P

(4 - x)/(x - -6) = 4

(4 - x) = 4(x + 6)

4 - x = 4x + 24

-5x = 20

x = -4

y-coordinate of P

(8 - y)/(y - -7) = 4

(8 - y) = 4(y + 7)

8 - y = 4y + 28

-5y = 20

y = -4

Hence, the coordinates of Point P is (-4, -4).

Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.

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The coordinates of the vertices of the image of the square are S'(x, y) = (- 1, - 4), T'(x, y) = (- 1, 1), U'(x, y) = (4, 1) and V'(x, y) = (4, - 4).

In this problem we need to make use of a translation on a geometric locus on a Cartesian plane, which is generated by four points representing the vertices of the square. The translation is a kind of rigid transformation, whose formula is shown below:

P'(x, y) = P(x, y) + t(x, y)

Where:

If we know that S(x, y) = (- 6, - 5), T(x, y) = (- 6, 0), U(x, y) = (- 1, 0) and V(x, y) = (- 1, - 5) and t(x, y) = (5, 1), then the locations of the vertices of the triangle are:

S'(x, y) = (- 6, - 5) + (5, 1)

S'(x, y) = (- 1, - 4)

T'(x, y) = (- 6, 0) + (5, 1)

T'(x, y) = (- 1, 1)

U'(x, y) = (- 1, 0) + (5, 1)

U'(x, y) = (4, 1)

V'(x, y) = (- 1, - 5) + (5, 1)

V'(x, y) = (4, - 4)

The location of the image of the square is shown below.

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1. The type of bias that the researcher would be making here based on the fact that the households were not that of single millennials is the sampling bias.

2. The voluntary response bias is the type of bias that is being done where the receipts of the website would be the bias that would occur from the company's website.

3. The under coverage bias is what would happen in this scenario given that the friend would not have to ask all of the persons that would be used for the study.

This is the term that is used to refer to the systematic error that would occur in research due to the researchers methods.

1. The answer is the sampling error due to the fact that the random generator was what was used. This would end up giving a sample that would not show the true representation of all of the population.

2. The voluntary response bias is what would be made here because those filling the form are doing it voluntarily.

3. The undercoverage bias is made here because the opinion of the entire school population is not well represented here.

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Step-by-step explanation:

Hope this helps..............

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The length of the red line segment on this number line is: C. 2 1/2.

A number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to compare or determine the difference (distance) between two numbers plotted on it. Additionally, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

Note: Each interval on this number line represents 1/4 and the total intervals between the red dots is 10.

From the number line shown above, we have:

Distance = 10 ×  (1/4)

Distance = 10/4

Distance = 5/2

Distance = 2 1/2.

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