2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.

Answers

Answer 1

Answer:

  P(-3) = -2

Step-by-step explanation:

Substitution

P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8

P(-3) = -2

__

Long Division

See the working below. The remainder is -2, so ...

  P(-3) = -2

2. Evaluate The Polynomial Two Ways: By Substituting In The Givenvalue Of X, And By Using Long Division.Find
Answer 2
P(-3) = -2 i think that’s what it’s keeps giving me

Related Questions

(5.3.4 journal: describing distributions) Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning(3 points: 1 point for each row of the chart)

Answers

Need the box plots first!

Given: m || n and p is a transversal
Prove: mAngle2 = mAngle7

Horizontal and parallel lines m and n are cut by transversal p. On line m where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line n where it intersects line p, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
What is the missing reason in the proof?

Statement Reason
1. m || n and p is a transversal 1. given
2. ∠2 ≅ ∠3 2. ver. ∠s theorem
3. m∠2 = m∠3 3. def. of congruent
4. ∠3 ≅ ∠7 4. corr. ∠s theorem
5. m∠3 = m∠7 5. def. of congruent
6. m∠2 = m∠7 6. ?
corresponding angles theorem
alternate interior angles theorem
transitive property
subtraction property

Answers

m5 = m6 prove m3= m4

Answer:

∠2 ≅ ∠6

Step-by-step explanation:

2x3 + 10x2 − 4x2y − 20xy

Answers

Answer:

-20xy -8y+26

Step-by-step explanation

First Multiply 2 by 3.

6 + 10 x 2 - 4 x (2y) - 20xy

Then Multiply 10 by 2.

6+20-4x(2y)-20xy

After that Multiply 2 by -4.

6+20-8y-20xy

Lastly add 6 and 20.

26 -8y -20xy

26 I think I hope this helped

WILL GIVE BRAINLY!!!!PLEASE HELP!!!!
What are the domain and range of f(x) = 4x – 8?
domain: {x | x is a real number}; range: {y | y > –8}
domain: {x | x is a real number}; range: {y | y > 8}
domain: {x | x > 4}; range: {y | y > –8}
domain: {x | x > –4}; range: {y | y > 8}

Answers

Answer:

None of the above

Step-by-step explanation:

A graph of the function f(x) = 4x- 8 is straight line passing through (0,-8) on y axis and (2,0) on x axis.

Thus, we observe that both Domain and Range belongs R (real no.), but none of above options states that.

3. State the general version of the recursive formula.

72,54, 36, 18,0

Answers

Answer:

a(1) = 72

a(n) = a (n-1) - 18

Step-by-step explanation:

This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get

72/18, 54/18, 36/18. 18/18, 0/18

4      , 3      , 2     , 1 ,       0

So we can see that the numbers are in  decreasing order as the multiples of 18.

in other words the first term is a= 72

from which we subtract 18 and get 54 and so on.

So the general rule would be

a(1) = 72

a(n) = a (n-1) - 18

Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.

72-18= 54

54-18= 36

36-18= 18

18-18=0

The answer is 72 because if you multiply by 18 you get those number the first person was right

Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es

Answers

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

Y=1/8^2-1/2x + 3/2 would be the answer

what is 10% of $14,580

Answers

Answer:

1458

Step-by-step explanation:

10% * 14580

Change to decimal form

.10 * 14580

1458

Answer:

1458

Step-by-step explanation:

14,580 multiply that by .1

Given the regular decagon, what is the measure of each numbered angle? A. m∡1 = 72°; m∡2 = 18°; m∡3 = 36° B. m∡1 = 18°; m∡2 = 36°; m∡3 = 72° C. m∡1 = 36°; m∡2 = 72°; m∡3 = 18° D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Answers

Answer:

  D.  m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Step-by-step explanation:

The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.

Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.

Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.

D is the answer I think

can somewon help me plz

Answers

Answer:

=1468 in ^3

Step-by-step explanation:

Find the volume of the container as if the corner was still there

V = l*w*h

V = 10 * 10 *15

  = 1500

Subtract the missing corner

The volume of the missing piece is

V = l*w*h

   = 2*4*4

   = 32

V = 1500-32

   =1468 in ^3

Answer:

It is 1468 inches cubed.

Step-by-step explanation:

You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15.  They multiply to become 1500 inches cubed.  You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2.  And that equals 32.  So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32.  That equals 1468 inches cubed.  You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it.  So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.

PLEASE HELP ME WITHT HIS QUESTION I NEED IT FOR HOMEWORK!!!!!

Answers

Answer: the answers are both A and B

Step-by-step explanation:

square root of 64 is 8 and the square root is 225 is 15. It can be both positive and negative

The answer is A and B because they are different ways of showing the expression in the question. I hope this helps!!!!!

Name five fractions whose values are between 1/8 and 1/5

Answers

The answer is 1/8 bc thats the anwser i got

The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The fraction numbers are given below.

1/8 and 1/5

Convert the fraction number into decimal numbers. Then we have

0.125 and 0.20

The five fractions whose values are between 1/8 and 1/5 will be given as,

0.13, 0.14, 0.15, 0.16, 0.18

13/100, 14/100, 15/100, 16/100, 18/100

13/100, 7/50, 3/20, 4/25, 9/50

The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.

More about the number line link is given below.

https://brainly.com/question/13189025

#SPJ5

A company determined that for each $1 increase in the price of their product, the

number of items sold will decrease by 2. Their predicted weekly profit with a

price increase of x dollars is represented by the function

f(x)= – 2x2+20x +150.


By how many dollars

should they increase the price of their product to

maximize their weekly profits?


15


200


150


5

Answers

Answer:

To have maximum profit, the price must be increased by 5,

Step-by-step explanation:

Given that the price increase function is:

f(x) = -2x² + 20x + 150,

For maximum profit, then f(x) = 0.

Putting f(x) = 0, we have

-2x² + 20x + 150 = 0

Or

x² - 10x - 75 = 0

(x + 5)(x - 15) = 0

x = -5

Or

x = 15

Again, differentiating f(x) and equating to zero, we have

-4x + 20 = 0

4x = 20

x = 20/4

= 5

To have maximum profit, the price must be increased by 5,

They would have to increase it by 5$ so that they can maximize their weekly profit!


Plot the function
y = (x + 1)(x - 3) by following these steps:
4
Step 1: Plot the x-intercepts of the function.

Answers

Answer:

Zoom it to see well

Step-by-step explanation:

The equation of the parabola is y = (x - 1)² - 4. Then the vertex of the parabola is at (1, -4) and the parabola passes through (0, -1) and (0, 3).

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The equation is given below.

y = (x + 1)(x - 3)

We know that the equation is a parabolic equation.

And the value of y at -1 and 3 is zero.

The equation can be written as

y = x² - 2x -3

y = (x - 1)² - 4

And the vertex of the parabola is at (1, -4).

The graph is shown below.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ2

A rectangular prism has a volume of 285.6. cubic feet. The prism is 12 feet long and 3.4 feet wide. What is the height of the prism? A. 7 ft B. 15 ft C. 19 ft D. 22 ft Please include all work!!

Answers

Answer:

A. 7 ft

Step-by-step explanation:

Volume is Length * Width * Height

12 * 3.4 * Height = 285.6

285.6 / 12 = 23.8

23.8 / 3.4 = 7

It’s is 7 because if u multiply all the numbers together you get your product

An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr

Answers

Step-by-step explanation:

half life time-50%-8.4hr

so for 10%- 8.4/5=1.68 hr

now for 70%

1.68 × 7 = 11.76 hrs

to one decimal place - 11.8hrs

11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.

What is half-life?

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

Half-life period - 50% -8.4hours

so for 10%- 8.4/5 = 1.68 hour

now for 70%

1.68 × 7 = 11.76 hours

To one decimal place - 11.8hours

Hence, 11.8hours is the answer.

To learn more about half-life here

https://brainly.com/question/17159063

#SPJ2

DONT ANSWER!! am i right? 20 points!

Answers

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Hi, there!!!

It's so simple,

so, let's simply work with it;

Here, the given equation is;

4d-4 = 5d-8

so, let's take "4d" to right side and -8 to left side. we get,

-4+8 = 5d-4d

or, 4 = d

Therefore, the value of d is 4.

{here, we simply simplified to get answer}

YOU ARE ABSOLUTELY RIGHT...

Hope it helps....

Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1

Answers

Answer:

  One-sixth d + one-eighth d = 1

Step-by-step explanation:

When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...

  (Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed

  (1/6)d + (1/8)d = 1 . . . . matches the last choice

the awnser would be 1

What is the volume of the following rectangular prism?

Answers

Answer: 33 cubic units

===================================================

Explanation:

Convert the mixed number 3 & 2/3 to an improper fraction

3 & 2/3 = 3 + 2/3

3 & 2/3 = 9/3 + 2/3

3 & 2/3 = (9+2)/3

3 & 2/3 = 11/3

The prism has a base area of 9 square units and a height of 11/3 units.

Multiply the base area by the height to get the volume

volume = (base area)*(height)

volume = (9)*(11/3)

volume = 99/3

volume = 33 cubic units

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

You could choose to not convert to an improper fraction, and your steps may look like this

volume = (base area)*(height)

volume = (9)*(3 + 2/3)

volume = 9*3 + 9*(2/3) .... distribute

volume = 27 + 18/3

volume = 27 + 6

volume = 33 cubic units

Either way we get the same volume.

The answer is 33 units cubed.

What is the relationship between Za and Zb


A- vertical angles
B- complementary angles
C-supplementary angles
D-none of the above

Answers

their sum is 90° so they're complementary

Write an algebraic expression for the pair of numbers such that one is 33% more than the other one

Answers

Answer:

x = 1.33y

Step-by-step explanation:

33% is equal to 0.33. If a number x is 33% more than a number y, then x is 133% of y. 133% = 1.33

yeah what the person said above me

PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!!!!!Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?
f(x) = −6(x + 1)(x + 5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x + 1)(x + 5)
f(x) = −5(x − 1)(x − 5)

Answers

Answer:

f(x) = −6(x + 1)(x + 5)

Step-by-step explanation:

f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.

y
=
x
2

6
x
+
5
and
(
1
,
0
)
,
(
5
,

write the slope- intercept form of the equation for the line

y=-8/7x-3/2

y=7/8x-3/2

y=-7/8x-3/2

y=-3/2x+7/8​

Answers

Answer: All options are in slope-intercept form

i hope this helps .

Step-by-step explanation:

1.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]

2.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]

3.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]

4.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]

The slope is most likely the x

In the following diagram CDFG ~ HJLK. use this information to find the value x.

Answers

Answer:

x=2.25

Step-by-step explanation:

4x=3 x 3

X=2.25 I agree with the other person :)

three babies A,B and C cry out at interval time. Baby A cries out at every 20 mins, while B cries out at every 30 mins and C cries out at every 40 mins. if they are observed at the same time, after what time will the three of them cry together?
A. after 20 minutes
B. after 30 minutes
C. after 40 minutes
D. after 120 minutes​

Answers

They all cried 210 minutes if u want it in hrs divide
The answer will be D. After 120 minutes, because by looking at the three numbers, 20, 30, and 40, you have to find the common multiple for all three numbers, and in this case, 120 will fit all three numbers perfectly.

Me need big brain to answer this question c:

Answers

Answer:

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Step-by-step explanation:

Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.

As per the question , we have

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Which function is the inverse of f(x) = -5x-4?
1
4
1
4
O 8(x)3x -
F () --3x+
O F1(x) = -4x+5
Of '(x) = 4x+4

Answers

Answer:

The inverse is -1/5x -4/5

Step-by-step explanation:

f(x) = -5x-4

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y

Divide by -5

-1/5x -4/5 = -5y/-5

-1/5x -4/5 = y

The inverse is -1/5x -4/5

Answer:

[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]

Step-by-step explanation:

[tex]f(x) = -5x-4[/tex]

Replace y = f(x)

[tex]y = -5x-4[/tex]

Exchange values of x and y

[tex]x = -5y -4[/tex]

Solve for y

[tex]x = -5y - 4[/tex]

Adding 4 to both sides

[tex]x + 4 = -5y[/tex]

Dividing both sides by -5

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

Replace y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]

Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear

Answers

Answer:

The correct option is;

C. Quadratic

Step-by-step explanation:

The given information are;

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

Therefore, we have;

The value of the corn = Amount of corn left × Price of corn

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left = 1000 - 10×t

Where;

t = Time in minutes

Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.

Therefore, the correct option is a quadratic model.

C. quadratic is the answer

3(2x - 4) = 4(x + 1)

X=__?

Answers

Answer:

8!

Step-by-step explanation:

SIMPLIFY

6X-12=4X+4

PUT LIKE TERMS TOGETHER

6X-4X=4+12

SIMPLIFY

2X=16

X=16/2

X=8

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

Hey there! I'm happy to help!

First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.

3(2x-4)

We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.

4(x+1)

We do 4 times x which is 4x, and 4 by 1, which is 4.

This gives us this equation.

6x-12=4x+4

Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.

6x-12=4x+4

We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.

6x=4x+16

We subtract 4x from both sides.

2x=16

We divide both sides by 2.

x=8

Have a wonderful day! :D

How does it do? thank you very much
sorry this subject is physic.

Answers

Yes give me Brainlyest and I’ll give you answer
Ok so here’s what u do u add that and that and then u add the sum of the numerals

1. Move the slider to choose a scale

factor greater than 1. Where is point

P"?

Answers

I can’t see the problem but multiply by that number you choose and move the slider .
Other Questions
Question 9 of 10Which of the following are exterior angles? Check all that apply.O A. 24O B. _3O c. 7O D. 25O E. 2.O F. 26 A. Stine Co. previously wrote off a $200 bad debt from Thorn Co. using the direct write-off method. On October 1, Stine unexpectedly receives a check in the amount of $200 from Thorn Co. The entry to record this receipt of $200 will include a: (Check all that apply.) Giving BRANLIEST IFFF CORRECT Which type of chart or graph shows the contribution of each item in a total of 100%? Bar graph Column chart Line graph Pie chart Find a8 of the sequence 10,9.75,9.5,9.25,. what kind of people are most likely to become active in politics or community services in object oriented programming what is a constructor?a. the attributes that allow a programmer to imagine a new objectb. the behaviors that allow a programmer to design a new objectc. the code that allows a programmer to create a new objectd. the template that allows a programmer to modify a new object What can you infer about Mrs.Hales perception of Mr.Hale.? PLZ HELP ASAP!!!!!!!!!WILL MARK BRAINLIST!! Why should you get the interviewers business card? A. to get the interviewers complete name, title, and contact information for your follow-up call and thank-you note B. so you can add the interviewer to your professional network file and online network C. so you can call on the interviewer for assistance in future job searches D. to provide a hard copy of the interviewers information for your files Please select the best answer from the choices provided A B C D Activity 12-5: A Dihybrid Punnett Square. Consider your answers in the previous question. In a separate piece of paper, solve the Punnett square for a cross between two heterozygous individuals (BbRr x BbRr); write the genotypes of the gametes along the top and the side of the square and fill in the squares. Can you solve this??? Choose an animal species that live in Antarctica. Using the Internet, research five interesting facts about the animal you choose. Describe what you learned. Be sure to include the website address where you learned the information about your animal species. P.S (should be approximately 20-25 lines) -58.58 is equal to the rational number PLEASE HELP ME ITS MY LAST ONE!!! Read the sentences, look at the image and match each sentence with the name of the royal family member missing in the blank. Terms: La hermana de Sofa es ________. El padre Leonor es ________. La madre Leonor y Sofa es ________. La abuela de Leonor y Sofa es ________. Choices: A) Felipe IV B) Leonor C) Sofa D) Letizia Internal development of a new business subsidiary can be a more attractive means of entering a desirable new business than is acquiring an existing firm already in the targeted industry when A. the company has ample time and adequate resources to launch the new internal startup business from. the ground up. B. there is a large pool of desirable acquisition candidates. C.the target industry is growing rapidly and good joint venture partners are available. D. all of the potential acquisition candidates are losing money. E. the target industry is comprised of several relatively large and well-established firms. If sin2 x + cos2 y = 2 sec2 z, then general solution of triplets (x, y, z) is SOMEBODY HELP PLEASE! ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!) Identify characteristics of structured programming design. Choose all that apply.The code is easy to test and debug.It creates a program made of modules that can be called when needed.The code is difficult to modify due to the use of modules.It uses logic flow.The code is easier to follow.The code is easier to modify. Restricting imports Question 10 options: can protect United States jobs in the protected industry, which increases economic welfare of the country as a whole. can protect United States final goods and services in the protected industry and increase economic welfare of the country as a whole. can protect United States jobs in the protected industry but will also lead to reductions in U.S. output and income. can protect United States final goods and services in the protected industry and makes consumers better off. Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)