Consider the function g(x) = -3x - 4 if the domain value is selected from the set {-8, -2, 0, 3}, which of the following is a corresponding range value?

A. 18
B. -10
C. -13
D. -5

Answers

Answer 1

Answer:

C. -13

Step-by-step explanation:

Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:

{20, 2, -4, -13}

-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13

Answer 2

C. [tex]-13[/tex] is a corresponding range value.

The domain of a function refers to the set of all values for which the function is defined.

The range is the set of all values that function takes for the given values of domain.

Domain is [tex]\boldsymbol{\left \{ -8,-2,0,3 \right \}}[/tex]

[tex]g(x)=-3x-4[/tex]

[tex]g(-8)=-3(-8)-4[/tex]

         [tex]=20[/tex]

[tex]g(-2)=-3(-2)-4[/tex]

         [tex]=2[/tex]

[tex]g(0)=-3(0)-4[/tex]

       [tex]=-4[/tex]

[tex]g(3)=-3(3)-4[/tex]

       [tex]=-13[/tex]

Range is [tex]\boldsymbol{\left \{ 20,2,-4,-13 \right \}}[/tex]

So, [tex]\boldsymbol{-13}[/tex] is a corresponding range value.

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Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: can i help wat is a tip

54= 4(x+5)
54= 4x+ 20
54-20=4x+ 20- 20
34= 4x
x= 8.50

NEED HELP PLEASEE!!!

Answers

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{\frac{84}{15}in^{2}}[/tex]

[tex]\text{Area of a rectangle: A = l * w }\\\\w = 4\frac{1}{5}, \text{ and } l = \frac{4}{3} \\\\\text{Rewrite the mixed number into an improper fraction to make it easier to solve:}\\\\4\frac{1}{5} = \frac{21}{5}\\ \\\text{Multiply the two fractions:}\\\\\frac{21}{5}*\frac{4}{3} = \frac{21*4}{5*3} = \frac{84}{15}in^{2}[/tex]

What is 3|-a+5| if a is 7

Answers

Answer:

6

Step-by-step explanation:

The I  I is just absolute value, so it will give a positive result. if a=7,

3I-7+5I

-7+5=-2, but because this is absolute value, -2=2

Then you have 3(2),

3*2=6

Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer

Answers

Not sure about this one

Answer:

omg here is the answer

Step-by-step explanation:

how does a triangular prism look

Answers

Answer:

its like a 3d rectangle triangle

Step-by-step explanation:

yes

What is the midpoint of the segment with the following endpoints.
(9, 2) and (5,5)

Answers

The midpoint is (7,7/2)

help me please!!!!!!!​

Answers

Answer:

A'(-5, 6)B'(-5, 2)C'(-9, 2)D'(-9, 6)

Step-by-step explanation:

Rotation 180° about the origin changes the sign of every coordinate. The image coordinates are shown above.

what does 52 belong to?natural,rational,integer,whole ?

Answers

Answer:

The number 52 is a rational number if 52 can be expressed as a ratio, as in rational. A quotient is the result you get when you divide one number by another number. For 52 to be a rational number, the quotient of two integers must equal 52. ... Thus, the answer to the question "Is 52 a rational number?" is YES.

Step-by-step explanation:

The area of a square is 215 square cm. Find the length of a side to the nearest tenth. Find its perimeter.​

Answers

Answer:

Length of side = 14.7 cm

Perimeter = 58.7 cm

Step-by-step explanation:

Find the root of 215 to find the side length.

It is about 14.7 cm.

Then, multiply the length of the side by 4 to find the perimeter.

Is quadrilateral DEFG a parallelogram? Why or why not? Question 16 options: A) No, because opposite sides aren't parallel. B) Yes, because opposite sides aren't congruent. C) Yes, because opposite sides are parallel. D) There isn't enough information.

Answers

a) no because opp sides are not parallel

Answer:

No, because opposite sides aren't parallel.

Step-by-step explanation:I took the test

At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)

Answers

The answer would be B. (-1,-1) and (1,3)

Hope that helped

Givenf(x)=6(8−x)+5.
(a) What does the notation f (−2) mean? (b) What is the value of f (−2) ?

Answers

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

Hey, I'd really appreciate some help. Thanks! I've attached the image :)

I really need an explanation, it's so confusing ​

Answers

Answer :0

Step-by-step explanation:a= -2 b= 5/2 c=-1/2  

so a+b+c= -2+5/2 -1/2 =0

A line has a rise of 6 and a slope of 1/20.

Find the run of the line. Type a numerical answer in the space provided.

Answers

Answer:

120

Trust me it is correctGood Luck:)

A scale drawing of a school bus has a scale of one/2 inches to 5 feet if the length of a school bus is 4 1 over2 inches on the scale drawing what is the actual length of the bus

Answers

Answer:

162

Step-by-step explanation:

h(x)=-3x+1
evaluate h(-2)

Answers

Answer:

h(-2) = 7

Step-by-step explanation:

Plug in -2 for h in the equation:

h(x) = -3x + 1

h(-2) = (-3)(-2) + 1

Remember to follow PEMDAS. First, multiply, then add:

Multiply. Note that when you multiply two negative numbers, the answer will be positive:

(-3) * (-2) = (3 * 2) = 6

Next, add:

h(-2) = 6 + 1 = 7

h(-2) = 7

h(-2) = 7 is your answer.

~

What is the solution of 2x(x+7)=0 if you are factoring​

Answers

Answer:

x= {0, 7}

Step-by-step explanation:

3(2x - 1) + 5 = 6(x + 1)



HELP!!!

Answers

Answer:

No Solution

Step-by-step explanation:

I have tried it a few times and there seems to be no solution. x can't be solved for.

Answer:

no solution

Step-by-step explanation:

Given

3(2x - 1) + 5 = 6(x + 1) ← distribute parenthesis on both sides

6x - 3 + 5 = 6x + 6 , that is

6x + 2 = 6x + 6 ( subtract 2 from both sides )

6x = 6x + 4 ( subtract 6x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

-4C - 6 - 3 + 2c - 60 + 15

Answers

Answer:

-2x -54 here is the answer

Graph this function:
y - 7 = -5(x + 5)

Answers

Answer:

Look at the graph for help

Step-by-step explanation:

if you need to graph us desmos graphing its free just plug in you cordinates

NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees

Answers

Answer:

y=5.44

Step-by-step explanation:

47+16y=134 subtract 47 from both sides

16y=87

y=5.44

Simplify the expression using the distributive property 2x (x- 9)​

Answers

Answer:

2x^2-18x

Step-by-step explanation:

Answer:

4x^2 - 18x

Explanation:

Multiply 2x by 1x which should give you 2x^2 (squared because the x’s together would be squared), then multiply the 2x by 9 and you should be left with 18x which results in 4x^2 - 18x

A number x is decreased by 40% then increased by 25% what is the final result In terms of x ?

Answers

Answer:

Step-by-step explanation:

Let your number be X. To increase X by 40% we can multiply it by 1.4, let's call this new number Y.

So Y = X * 1.4

Now to decrease Y by 40% we can multiply it by 1 - .4 = .6. Lets call this new number C.

So C = Y *.6 = (X * 1.4) * .6 = X * (1.4 * .6) = X * .84.

Therefore, C = .84 * X.

So we can see C is 84% of X, or 16% less than X.

Thus, if you increase a number by 40% then decrease it by 40%, the net percentage is -16% .

      Final result in terms of 'x' will be → 0.75x

Conversion of verbal statement to algebraic expression:    Select the variables given in the verbal statement first.    Form the algebraic expression as per verbal statement given in the question.

Let the number = x

As per first statement → "A number 'x' is decreased by 40%"

Algebraic expression for the statement → (x - 40% of x)

                                                                  → (x - 0.4x)

                                                                  → 0.6x

Second statement → "Then increased by 25%"

Algebraic expression for the statement → (0.6x + 25% of 0.6x)

                                                                  → [tex](0.6x+\frac{25}{100}\times 0.6x)[/tex]

                                                                  → [tex](0.6x+0.15x)[/tex]

                                                                  → [tex]0.75x[/tex]

           Therefore, final result in terms of x will be (0.75x).

Learn more about the algebraic expression here,

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Find the next number in the sequence 1, 1/4, 1/9 , 1/16, 1/25

Answers

(Add5) 1/9..(add 7) 1/16... (add9) 1/25... (add 11) and get -> 1/36

Question 2
64 is 40% of what number?
А
128
B
256
160
D
26

Answers

C: 160 is the correct answer

Answer:

answer is 160

Step-by-step explanation:

1. We assume, that the number 40 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 40, so we can write it down as 100%=40.

4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.

5. Now we have two simple equations:

1) 100%=40

2) x%=64

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=40/64

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 40

100%/x%=40/64

(100/x)*x=(40/64)*x    

100=0.625*x

100/0.625=x

160=x

x=160

now we have:

64 is 40% 160

What is a expanded form for 839,208

Answers

Step-by-step explanation:

800,000 + 30,000 + 9,000 + 200 + 8

find three consecutive odd integers with a sum of 75

Answers

Answer:

23, 25, 27

Step-by-step explanation:

first integer will be X, second will be (X+2), and the third will be (X+4). They will all be summed up and set equal to 75.

[tex](x) + (x + 2) + (x + 4) = 75[/tex]

combine like terms:

[tex]3x + 6 = 75[/tex]

subtract 6:

[tex]3x = 69[/tex]

divide by 3 to find value of X:

[tex] \frac{3x}{3} = \frac{69}{3} [/tex]

[tex]x = 23[/tex]

plug in X in o red der to finger the rest of the integers.

(X+2)= (23+2)=25

(X+4)= (23+4)=27

Ms. Lady works-out with Ms. Beetle; her average crawling time has increased to 4 feet per minute, while Ms. Beetle, who is used to eating Hot Cheetos and watching TV, averages 2.5 feet per minute. While at Senn's Elm Tree-house, the three decide to experiment with linear equations. The objective is to end up at the Rose Bush at the same time. Senn still averages 5 feet per minute. How much of a head start does he need to give each of his friends in order for their function rules to intersect at 92 feet (the rose bush). What is the equation for each bug which makes their experiment successful? Create a table and graph representing the situation.

Answers

Answer:

Senn needs to give Ms. Lady 4.6 minutes  head start

Senn needs to give Ms. Beetle 18.4 minutes  head start

The equation for each bug are;

For Senn, the equation for the experiment is 5 × t₁ = 92 feet

For Ms. Lady, the equation for the experiment is 4 × (t₁ + 4.6) = 92 feet

For Ms. Beetle , the equation for the experiment is 4 × (t₁ + 18.4) = 92 feet

Please find attached the required graph and table of values

Step-by-step explanation:

The given parameters are;

The average crawling time of Ms. Lady = 4 feet per minute

The average crawling time of Ms. Beetle = 2.5 feet per minute

The average crawling time of Senn = 5 feet per minute

The distance to the rose bush = 92 feet

Therefore, we have;

The time, t, duration for Senn to arrive at the Rose bush is given by the following relation,

Time, t = Distance, d/(Speed, s)

Given that the speed of the bugs is equal to their average crawling time, we have

For Senn

Time, t = 92/(5 ft/Min) = 18.4 minutes

For, Ms. Lady

Time, t = 92/(4 ft/Min) = 23 minutes

For, Ms. Beetle

t = 92/(2.5 ft/Min) = 36.8 minutes

Therefore;

Senn needs to give Ms. Lady 23 - 18.4 = 4.6 minutes head start

Similarly, Senn needs to give Ms. Beetle 36.8 - 18.4 = 18.4 minutes  head start

The equation for each bug are therefore;

For Senn, the equation for the experiment is given as follows ;

5 × t₁ = 92 feet

For Ms. Lady, the equation for the experiment is given as follows;

4 × (t₁ + 4.6) = 92 feet

For Ms. Beetle , the equation for the experiment is given as follows;

4 × (t₁ + 18.4) = 92 feet.

Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model. What decimal represents the amount each boy shades?

Answers

Answer:

Luke = 0.75

Owen = 0.04

Jacob = 2.9

Step-by-step explanation:

A model = 100 small squares

100 small squares = 1

Luke shades three fourths of one model.

Luke = 3/4 of 1 model

= 3/4 × 1

= 0.75

Owen shades four small squares of one model.

Owen = 4/100

= 0.04

Jacob shades two full models and nine tenths of another model

Jacob = 2 + 9/10

= 2 + 0.9

= 2.9

Luke = 0.75

Owen = 0.04

Jacob = 2.9

3.a.Sketch a line through the point

(-2,5) such that as an x-value

increases by 3. the y-value

decreases by 2.

y

o

Answers

Answer:

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since x-value increases by 3,

Δx = 3

And y-value decreases by 2,

Δy = -2

Therefore, slope = [tex]\frac{\triangle y}{\triangle x}[/tex]

Slope = [tex]-\frac{2}{3}[/tex]

Equation of the line passing through (-2, 5) and slope = [tex]-\frac{2}{3}[/tex] will be,

y - 5 = [tex]-\frac{2}{3}(x+2)[/tex]

y = [tex]-\frac{2}{3}x-\frac{4}{3}+5[/tex]

y = [tex]-\frac{2}{3}x+\frac{11}{3}[/tex]

y = [tex]\frac{1}{3}(-2x+11)[/tex]

Table for input-output values will be,

x      -2         0         1          2         3

y       5        3.7       3        2.3      1.7    

We can plot these points to get the line on a graph.

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