Which mapping diagram is NOT a function?

Which Mapping Diagram Is NOT A Function?

Answers

Answer 1

Answer:

D is not a function--an x-value cannot correspond to more than one y-value.


Related Questions

Find an angle with θ with 0∘ < θ < 360∘ that has the same :

Sine as 220∘ : θ = _______ degrees

Cosine as 220∘ : θ = _______ degrees

Answers

The complete trigonometry ratios are sin(220) = -sin(40) and cos(220) = cos(140) and the angles are 40 and 220 degrees

How to determine the measure of the angles?

Angle 1

The trigonometry ratio of the angle is given as

sin(220)

Expand the above expression

sin(220) = sin(180 + 40)

Apply the sine rule

sin(220) = sin(180)cos(40) + cos(180)sin(40)

Evaluate the ratios

sin(220) = 0 x cos(40) - sin(40)

So, we have

sin(220) = - sin(40)

So, the measure of the angle is 40 degrees

Angle 2

The trigonometry ratio of the angle is given as

cos(220)

Expand the above expression

cos(220) = cos(360 - 140)

Apply the cosine rule

cos(220) = cos(360)cos(140) + sin(140)sin(360)

Evaluate the ratios

cos(220) = 1 x cos(140) + sin(140) x 0

So, we have

cos(220) = cos(140)

So, the measure of the angle is 140 degrees

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Jackie planted a tomato plant that was 4 inches tall. The plant grew by 150% of its height after 3 weeks. How tall was the plant after the 3 weeks?

Answers

[tex]10\:inches[/tex]

1) Problems like these, we can solve by writing an equation.

2)Since that tomato plant grew 150% after three weeks we can write the following

[tex]\begin{gathered} 4\cdot(1+1.5)= \\ 4(2.5)=10 \\ \end{gathered}[/tex]

Note that in the parentheses we have the factor of growth. Since it's 150% we can add to 1 and write 1 +1.5=2.5

3) Thus, the answer is:

[tex]10\:inches[/tex]

can you please help me on e. f. and g.

Answers

His temperature was 100.1 degree farad initially which is around 6 pm. At 7 pm it became 101 degree farad.

[tex]\begin{gathered} \text{slope = }\frac{y_2-y_1}{x_2-x_1}=\frac{101-100.1}{7-6}=\frac{0.9}{1}=0.9 \\ m=0.9 \end{gathered}[/tex]

y = mx + b

where

m = slope

b = y - intercept

let find the y intercept

[tex]\begin{gathered} 101=0.9(7)+b \\ 101-6.3=b \\ b=94.7 \end{gathered}[/tex]

Therefore, the equation is

[tex]y=0.9x+94.7[/tex]

e. let us draw a graph

His temperature will be critical above 22 minutes past 9 pm.

f . He should go to emergency room.

g.

[tex]\begin{gathered} y=0.9x+94.7 \\ 98.6=0.9x+94.7 \\ 98.6-94.7=0.9x \\ 3.9=0.9x \\ x=\frac{3.9}{0.9} \\ x=4.33333333333 \end{gathered}[/tex]

His temperature will be normal around past 4 pm which is 98.6 degree farad.

Let f(x) = 8x^3 - 3x^2Then f(x) has a relative minimum atx=

Answers

[tex]\begin{gathered} \mathrm{Minimum}(\frac{1}{4},\: -\frac{1}{16}) \\ \mathrm{Maximum}(0,\: 0) \\ Inflection\: Point\colon(\frac{1}{8},-\frac{1}{32}) \end{gathered}[/tex]

1) To find the relative maxima of a function, we need to perform the first derivative test. It tells us whether the function has a local maximum, minimum r neither.

[tex]\begin{gathered} f^{\prime}(x)=\frac{d}{dx}\mleft(8x^3-3x^2\mright) \\ f^{\prime}(x)=\frac{d}{dx}\mleft(8x^3\mright)-\frac{d}{dx}\mleft(3x^2\mright) \\ f^{\prime}(x)=24x^2-6x \end{gathered}[/tex]

2) Let's find the points equating the first derivative to zero and solving it for x:

[tex]\begin{gathered} 24x^2-6x=0 \\ x_{}=\frac{-\left(-6\right)\pm\:6}{2\cdot\:24},\Rightarrow x_1=\frac{1}{4},x_2=0 \\ f^{\prime}(x)>0 \\ 24x^2-6x>0 \\ \frac{24x^2}{6}-\frac{6x}{6}>\frac{0}{6} \\ 4x^2-x>0 \\ x\mleft(4x-1\mright)>0 \\ x<0\quad \mathrm{or}\quad \: x>\frac{1}{4} \\ f^{\prime}(x)<0 \\ 24x^2-6x<0 \\ 4x^2-x<0 \\ x\mleft(4x-1\mright)<0 \\ 0Now, we can write out the intervals, and combine them with the domain of this function since it is a polynomial one that has no discontinuities:[tex]\mathrm{Increasing}\colon-\infty\: 3) Finally, we need to plug the x-values we've just found into the original function to get their corresponding y-values:[tex]\begin{gathered} f(x)=8x^3-3x^2 \\ f(0)=8(0)^3-3(0)^2 \\ f(0)=0 \\ \mathrm{Maximum}\mleft(0,0\mright) \\ x=\frac{1}{4} \\ f(\frac{1}{4})=8\mleft(\frac{1}{4}\mright)^3-3\mleft(\frac{1}{4}\mright)^2 \\ \mathrm{Minimum}\mleft(\frac{1}{4},-\frac{1}{16}\mright) \end{gathered}[/tex]

4) Finally, for the inflection points. We need to perform the 2nd derivative test:

[tex]\begin{gathered} f^{\doubleprime}(x)=\frac{d^2}{dx^2}\mleft(8x^3-3x^2\mright) \\ f\: ^{\prime\prime}\mleft(x\mright)=\frac{d}{dx}\mleft(24x^2-6x\mright) \\ f\: ^{\prime\prime}(x)=48x-6 \\ 48x-6=0 \\ 48x=6 \\ x=\frac{6}{48}=\frac{1}{8} \end{gathered}[/tex]

Now, let's plug this x value into the original function to get the y-corresponding value:

[tex]\begin{gathered} f(x)=8x^3-3x^2 \\ f(\frac{1}{8})=8(\frac{1}{8})^3-3(\frac{1}{8})^2 \\ f(\frac{1}{8})=-\frac{1}{32} \\ Inflection\: Point\colon(\frac{1}{8},-\frac{1}{32}) \end{gathered}[/tex]

Bobby says the dilation can be represented by (1\3X, 1,\3Y)Betty says the dilation can be represented by (3X, 3Y)who is correct and why?

Answers

Bobby is right because the measurements were made smaller so the dilation factor must be a number less than 1, and 1/3 is less than 1

Explain why the product of 20 x 30 is equal to 600.
BIU

Answers

Answer:

600

Step-by-step explanation:

2 X 3 = 6

20 has one 0

30 has one 0

one 0 and one 0 is two 0s

6 plus two 0s = 600

(I don't know if there are tutors here right now at this time but it's worth a try.) Please help me I really really don't understand this, it's going to take me a while to understand this. X(

Answers

[tex]\begin{gathered} 3(b+5)=4(2b-5) \\ 3b+15=8b-20 \\ 15+20=8b-3b \\ 5b=35 \\ b=\frac{35}{5} \\ b=7 \end{gathered}[/tex][tex]3(b+5)=4(2b-5)[/tex]

by the distributive law x(y+z)=zy+xz, we have

[tex]\begin{gathered} 3b+3(5)=4(2b)-4(5) \\ 3b+15=8b-20 \end{gathered}[/tex]

Then we use the properties of inequalities, we can switch both sides, and if we add or multiply something on both sides the equality remains

[tex]\begin{gathered} 3b+15=8b-20 \\ \end{gathered}[/tex]

we want the variables and the numbers without variables to be in different side, so, first we add 20 to both sides, note that the -20 will be cancelled

[tex]\begin{gathered} 3b+15+20\text{ = 8b-20+20} \\ 3b+15+20=8b \end{gathered}[/tex]

we want to left all the numbers with variable on the right side so we substract 3b (add -3b) to both sides. Same as before, the 3b will be cancellated (we can change the order in the sum)

[tex]\begin{gathered} -3b+3b+15+20=-3b+8b \\ 15+20=8b-3b \end{gathered}[/tex]

of course, you're welcome

I was asking if you have understood my explanation so far

tell me

it doesn't matter the order, in fact, when you get used to the method you can work with both at the same time

any other question?

yes, you could substrac 3b first

For example

[tex]\begin{gathered} 2+3x=6-x \\ 2+3x+x=6-x+x \\ 2+3x+x=6 \\ -2+2+3x+x=-2+6 \\ 3x+x=6-2 \\ 4x=4 \\ \end{gathered}[/tex]

sadly I will need to leave since my shift is over, but if you ask another question one of my partners will help you

Have a nice evening!!!!

then we add like terms and switch both sides

[tex]5b=35[/tex]

And then we multiply by 1/5 both sides

[tex]\begin{gathered} 5\frac{1}{5}b=\frac{35}{5} \\ b=\frac{35}{5} \\ b=7 \end{gathered}[/tex]

Ms. Morgan is the cafeteria manager. She keeps track of how many students select each type of drink. Today during breakfast, 32 children picked milk while 44 children picked juice. What is the ratio of the numbe of children who picked juice to those who picked milk?

Answers

Answer:

ratio of those who picked juice to milk

it refers to division

Estimate the difference between 7,472 and 3,827 by rounding each number to the nearest hundred.

Answers

Answer:

The difference is aproximately 3700.

Step-by-step explanation:

First, we'll round each number to the nearest hundred:

[tex]\begin{gathered} 7472\rightarrow7500 \\ 3827\rightarrow3800 \end{gathered}[/tex]

Now, we can estimate the difference:

[tex]7500-3800=3700[/tex]

This way, we can conlcude that the difference is aproximately 3700.

Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible Through (15,5) and (5,15)

Answers

Given that the required linepasses through the points (15, 5)and (5, 15).

Find the slope of the line using teo-point formula.

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{15-5}{5-15} \\ =\frac{10}{-10} \\ =-1 \end{gathered}[/tex]

Substitute the value of m into theslope-intercept form y = mx+c.

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

Plug in the point (5, 15)to find c, the y-intercept.

[tex]\begin{gathered} 15=-5+c \\ c=20 \end{gathered}[/tex]

Thus, y = -x + 20, which is the required equation of line.

solve the quadratic equation below.3x^2-9=0

Answers

[tex]\begin{gathered} 3x^2-9=0 \\ 3x^2-9+9=0+9 \\ 3x^2=9 \\ \frac{3x^2}{3}=\frac{9}{3} \\ x^2=3 \\ x=\sqrt{3},\: x=-\sqrt{3} \end{gathered}[/tex]

How do the coordinates of the blue point relate to the solution of the equation 3x = x + 4

Answers

we have the following:

They are related in the way taht if we replace, in both equations it gives the same result:

[tex]\begin{gathered} 3x=2\cdot3=6 \\ x+4=2+4=6 \end{gathered}[/tex]

evaluate B-( - 1/8) + c where b =2 and c=- 7/4

Answers

Answer: 3/8

Step-by-step explanation:

Given:

[tex]B-(-\frac{1}{8} )+c[/tex]

replace variables with their given values: b = 2 and C = 7/4

[tex]2-(-\frac{1}{8})+\frac{-7}{4}[/tex]

to make subtracting and addition easier, make each number has the same common denominator.

[tex]\frac{16}{8} -(-\frac{1}{8})+(\frac{-14}{8})[/tex]

Finally, solve equation.

***remember that subtracting a negative is the same as just adding and adding by a negative is the same as simply subtracting.

[tex]\frac{16}{8} -(-\frac{1}{8})+(\frac{-14}{8})=\frac{16}{8} +\frac{1}{8}-\frac{14}{8}[/tex]

= 3/8

Answer:

3/8

Step-by-step explanation:

2 - (-1/8) + (-7/4)

= 17/8 - 7/4

= 17/8 + -7/4

= 3/8

Calculate Sample Variance for the following data collection: 10, 11, 12, 13, 14,18.

Answers

The Variance of a set of data is defined as the average of the square of the deviation from the mean.

The first step is to calculate the mean of the data.

[tex]\frac{10+11+12+13+14+18}{6}=13[/tex]

Now we take the difference from the mean, square it, and then average the result.

[tex]\frac{(10-13)^2+(11-13^2)+(12-13)^2+(13-13)^2+(14-13)^2+(18-13)^2}{6}[/tex][tex]\Rightarrow\frac{9+4+1+0+1+25}{6}[/tex][tex]\Rightarrow6.67[/tex]

Hence, the variance of the data is 6.7 (rounded to the nearest tenth)

True or false if a set of points all lie on the same plane they are called collinear

Answers

Coplanar and collinear set of pointsMeanings

We have that a group of points can be:

Coplanar: if they lie in the same plane

Collinear: if they lie in the same line

Answer- False: they are called coplanar

Solve the System of Equations8x + 15y = -1174x + 9y=-75Write your answer as an ordered pair: (x,y)

Answers

We have to solve the system of linear equations:

[tex]\begin{gathered} 8x+15y=-117 \\ 4x+9y=-75 \end{gathered}[/tex]

We can substract 2 times the second equation for the first equation and solve for y:

[tex]\begin{gathered} (8x+15y)-2(4x+9y)=-117-2(-75) \\ 8x+15y-8x-18y=-117+150 \\ 0x-3y=33 \\ y=\frac{33}{-3} \\ y=-11 \end{gathered}[/tex]

Now, we can solve for x:

[tex]\begin{gathered} 4x+9y=-75 \\ 4x+9(-11)=-75 \\ 4x-99=-75 \\ 4x=-75+99 \\ 4x=24 \\ x=\frac{24}{4} \\ x=6 \end{gathered}[/tex]

Answer: (x,y)=(6,-11)

Which is the factored form of 3a2 - 24a + 48?а. (За — 8)(а — 6)b. 3a - 4)(a 4)c. (3a - 16)(a − 3)d. 3( -8)(a -8)

Answers

Ok, so:

We're going to factor this expression:

3a² - 24a + 48

First of all, we multiply and divide by 3 all the expression, like this:

3(3a² - 24a + 48) / 3

Now, we can rewrite this to a new form:

( (3a)² - 24(3a) + 144) / 3

Then, we have to find two numbers, whose sum is equal to -24 and its multiplication is 144.

And also we distribute:

((3a - 12 ) ( 3a - 12 )) / 3

Notice that the numbers we're going to find should be inside the brackets.

So, these numbers are -12 and -12.

Now, we factor the number 3 in the expression:

(3(a-4)*3(a-4))/3

And we can cancel one "3".

Therefore, the factored form will be: 3 (a - 4) (a - 4)

So, the answer is B.

-Зе - 10 - 4Solve and graph the inequality

Answers

The given inequality is expressed as

[tex]\begin{gathered} -\text{ 3e - 10 }\leq-4 \\ \end{gathered}[/tex]

We would add 10 to both sides of the inequality. It becomes

[tex]\begin{gathered} -\text{ 3e - 10 + 10 }\leq-\text{ 4 + 10} \\ -\text{ 3e }\leq6 \end{gathered}[/tex]

We would divide both sides by - 3. This would cause the inequality symbol to reverse. It becomes

[tex]\begin{gathered} \frac{-3e}{-3}\text{ }\ge\frac{6}{-3} \\ e\text{ }\ge-2 \end{gathered}[/tex]

The graph would be

The shaded circle at the position of - 2 indicates that- 2 is inclusive

What is the least common denominator of 1/20 and 7/50

Answers

Considering the given fractions

[tex]\frac{1}{20};\frac{7}{50}[/tex]

You have to find the least common denominator between the denominators "20" and "50"

For these values, the least common denominator is the least common multiple between both values:

[tex]20\cdot50=100[/tex]

So, the least common denominator is 100.

Brian is looking to add tile to one wall in his kitchen, each tile is a rectangle that measures
14 inches by 2 inches. The wall that Brian wants to tile is a rectangle that measures
44.25inches by 51 inches. How many bie's will Brian need to cover the wall?

Answers

Using the area of the rectangle we know that 80½ tiles will be needed to cover the wall.

What is a rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can also be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is an irregular shape with four equal sides.

So, tiles needed to cover the wall:

The formula for the area of a rectangle: l × b

Calculate the area of a tile as follows:

l × b14 × 228 in²

Now, calculate the area of the wall as follows:

l × b44.25 × 512,256.75 in²

Then, tiles needed to cover the wall:

2,256.75/2880.59

Which means: 80½

Therefore, using the area of the rectangle we know that 80½ tiles will be needed to cover the wall.

Know more about rectangles here:

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What is the answer to 6x + =5

Answers

Answer:

x = 5/6 or x = 0.83

Step-by-step explanation:

6x + =5

6x + 0 = 5

6x = 5

6x/6 = 5/6

x = 5/6 or x = 0.83

Select the correct answer from each drop-down menu.Glven: W(-1, 1), X(3, 4), Y(6, 0), and Z(2, -3) are the vertices of quadrilateral WXYZ.Prove: WXYZis a square.

Answers

ANSWER

all four sides have a length of 5

EXPLANATION

The distance between two points (x₁, y₁) and (x₂, y₂) is,

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Let's find the distance between each pair of points, WX, XY, YX, and WZ,

[tex]WX=\sqrt{(3-(-1))^2+(4-1)^2}=\sqrt{(3+1)^2+(4-1)^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex][tex]XY=\sqrt{(6-3)^2+(0-4)^2}=\sqrt{(3)^2+(-4)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5[/tex][tex]YZ=\sqrt{(2-6)^2+(-3-0)^2}=\sqrt{(-4)^2+(-3)^2}=\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex][tex]WZ=\sqrt{(2-(-1))^2+(-3-1)^2}=\sqrt{(2+1)^2+(-4)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

Hence, using the distance formula we found that all four sides have a length of 5.

use geometric relationship to develop the sequence represented in the table

Answers

The first figure has 3 tiles

The second figure has 8 tiles

The third figure has 15 tiles

The 4th figure has 24 tiles

The 5th figure has 35 tiles

The 6th figure has 48 tiles

Each time we increased row and column

So the rule is

a(n) = n(n + 2)

Let us use the rule to find figure 46

n = 46

[tex]a_{46}=46(46+2)=2208[/tex]

The number of tiles in figure 46 is 2208

Prove that every differentiable function is continuous

Answers

To prove :

every differentiable function is continuous.

thus, every differentiable function is continuous.

Determine the reasonableness of a solution to a logarithmic equation

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

[tex]\log_3x=7[/tex]

STEP 2: State the law of logarithm

[tex]\begin{gathered} If\text{ }\log_ab=c \\ \Rightarrow b=a^c \\ By\text{ substitution,} \\ \therefore\log_aa^c=c \end{gathered}[/tex]

STEP 3: Substitute the given values in the question to get the correct answer

[tex]\begin{gathered} \log_3x=7 \\ x=3^7 \\ By\text{ substitution,} \\ \log_3(3^7)=7 \end{gathered}[/tex]

Hence, Answer is:

[tex]\log_3(3^7)=7[/tex]

OPTION A

Classify each Polynomial by degree and number of terms.1. X^3 + 5x 2. X^2 - 2x - 1 3. 5x^4 4. 6x^5 - 3x^2 + 7x + 9 5. -11x - 5 6. 4x^2 + 10 7. 128. 9x^3 - x^2 + 6x - 1]9. -3x^5 + 6x^4 v- 8THESE ARE THE OPTIONS Degree Name using degree 0 Constant 1 Linear 2 quadratic 3 Cubic 4 quartic 5 quintic 6 6th degreeTHESE ARE ALSO THE OTHER OPTIONSTerms NAME USING # OF TERMS1, monomial 2 , binomial3 trinomial4 or more polynomial

Answers

[tex]\begin{gathered} x^3+5x\text{ has a highest degree of 3 (from }x^3\text{) and is therefore cubic.} \\ \text{It has only two terms which makes it a binomial} \end{gathered}[/tex][tex]\begin{gathered} x^2-2x-1\text{ has a highest degree of 2 (from }x^2\text{) and is therefore quadratic} \\ \text{It has three terms which makes it trinomial} \end{gathered}[/tex][tex]\begin{gathered} 5x^4\text{ has a highest degree of 4, and is therefore quartic.} \\ \text{Since it has only one term, then this is a monomial} \end{gathered}[/tex][tex]\begin{gathered} 6x^5-3x^2+7x+9\text{ has a highest degree of 5 (from }6x^5\text{) therefore it is quintic} \\ \text{It has four terms, and is a polynomial} \end{gathered}[/tex][tex]\begin{gathered} -11x-5\text{ has a highest degree of 1 (from }-11x\text{) and is therefore linear.} \\ \text{It has two terms which makes it binomial.} \end{gathered}[/tex][tex]\begin{gathered} 4x^2+10\text{ has a highest degree of 2 (from }4x^2\text{) and is therefore quadratic.} \\ \text{It has two terms which makes it binomial.} \end{gathered}[/tex][tex]\begin{gathered} 12\text{ has no variable which makes it a constant.} \\ \text{Since it is the only term, then this is a monomial} \end{gathered}[/tex][tex]\begin{gathered} 9x^3-x^2+6x-1\text{ has a highest degree of 3 (from }9x^3\text{) which makes it cubic} \\ \text{It has 4 terms and is thus a polynomial} \end{gathered}[/tex][tex]\begin{gathered} -3x^5+6x^4v-8\text{ has a highest degree of 5 (both from }-3x^5\text{ and }6x^4v\text{)} \\ \text{This makes it a quintic} \\ \text{Since it has three terms then this is a trinomial} \end{gathered}[/tex]

In how many ways can 3 students from a class of 23 be chosen for a field trip?aYour answer is:

Answers

SOLUTION:

This is a combination problem.

The number of ways 3 students from a class of 23 be chosen for a field trip is;

[tex]23C_3=\frac{23!}{(23-3)!3!}=1771\text{ }ways[/tex]

Can I Plss get some help I got stuck I don’t know how to find x

Answers

Using Sine of angles to evaluate for x

The formula is,

[tex]sin\theta=\frac{Opposite}{Hypotenuse}[/tex]

Given:

[tex]\begin{gathered} Opposite=x \\ Hypotenuse=19 \\ \theta=21^0 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} sin21^0=\frac{x}{19} \\ \therefore x=19\times sin21^0 \end{gathered}[/tex]

Simplify

[tex]x=6.80899\approx6.81\text{ \lparen2 decimal places\rparen}[/tex]

Hence,

[tex]x=6.81[/tex]

41 increased by 4 is what number ?

Answers

The statement

41 increased by 4

The word increase mean adding to the given number 41

Hence,

The statement can be expressed as

[tex]41+4[/tex]

Simplifying the result gives

[tex]41+4=45[/tex]

Therefore, the answer is

[tex]45[/tex]

45
41 + 4 = (41-1+4=44+1=45)
41 + 4 = 45 (40+5=45)
(41-1=40 4 + 1 = 5 + 40 = 45)
Therefore, 41 increased by 4 (41+4) would be 45. Please correct me if I’m wrong.

polynomials: classifying, simplifying adding and subtracting polynomials write in standard formplease do minimum steps

Answers

[tex](x^2+4)-(x-4)+(x^2-2x)=2x^2-3x+8[/tex]

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