(f + h)(x)
given f(x)= 3x-2x+4, g(x)= 8x-2, h(x)= 3x +2

(f + H)(x) Given F(x)= 3x-2x+4, G(x)= 8x-2, H(x)= 3x +2

Answers

Answer 1

Answer:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(  

g

f

​  

)(x)=  

g(x)

f(x)

​  

 

= \small{\dfrac{3x+2}{4-5x}}=  

4−5x

3x+2

​  

 

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(  

g

f

​  

)(x)=  

4−5x

3x+2

Step-by-step explanation:


Related Questions

Emerson needs an average of at least 90 points in order to earn an "A" in his science
class. So far, his test scores are 92, 86, and 88. What is the lowest grade Emerson can
score on his final test in order to earn an "A"?
s < 94, Emmerson must earn below a 94 on his final test to earn an "A" in his class.
b) s > 94, Emmerson must earn above a 94 on his final test to earn an "A" in his class.
c) s < 94, Emmerson must earn at most a 94 on his final test to earn an "A" in his class.
d) s 294, Emmerson must earn at least a 94 on his final test to earn an "A" in his class.

Answers

Answer:

D) Emerson must earn at least a 94 on his final test to earn an “A” in his class

Step-by-step explanation:

We calculate this using mean in this format:

Test Scores / # of Test ≥ 90 (which is an A)

Substitute:

(92 + 86 + 88)+ x / 4 ≥ 90

Add:

266 + x / 4 ≥ 90

Get Rid of the Denominator:

(4) 266 + x / 4 ≥ 90 (4)

Multiply:

266 + x ≥ 360

Isolate x (Subtract 266 From Both Sides):

x ≥ 94

This means that x (His final test score) has to be greater than (above) or equal to 94. A term for greater than or equal to is “at least.” Hope this helps :)

50pts given to the person that can solve this.
Write the equation, (2)x+(3)y=(24) in slope-intercept form​

Answers

Answer:

y = - 2/8x + 8

Step-by-step explanation:

Plato

e equation y+3=2(x+3)?
With a graph

Answers

Answer:

78.909877

Step-by-step explanation:

89.0987

Consider the function f(x) = 2 * (x - 20) ^ 2 - 3 What is the value of f(29) ?

Answers

Answer:

f(29) = - [tex]\frac{9}{290}[/tex]

Step-by-step explanation:

Step 1: substitute f(29) into the equation.

f(29) = 2(29 - 20)²⁻³

29 replaces x.

Step 2: simplify the exponent

f(29) = 2(29 - 20)⁻¹

2-3 is -1, so the exponent is -1

Step 3: distribute the exponent to the parentheses

f(29) = 2([tex]\frac{1}{29}[/tex] - [tex]\frac{1}{20}[/tex])

Since the exponent is a negative one, basically make it a fraction with the base as the denominator and the exponent as a numerator. I don't know too much about negative exponents, but this is how to factor in a -1.

Step 4: Distribute.

f(29) = [tex]\frac{2}{29} -\frac{2}{20}[/tex]

Step 5: Simplify before finding a common denominator (2/20 cancels out)

f(29) = 2/29 - 1/10

Step 6: Find a common denominator (290)

f(29) = [tex]\frac{20}{290}[/tex] - [tex]\frac{29}{290}[/tex]

Step 7: Simplify

f(29) = - [tex]\frac{9}{290}[/tex]

TBH I'm not sure this is correct, but I hope this helps =)

What is the domain of the graph?
A) 2 < x < 5
B) 2 ≤ x ≤ 5
C) 3 < y < 5
D) 3 ≤ y ≤ 5

Answers

Answer: The answer is A

Step-by-step explanation: i have a huge headache, how school?

The domain of the graph is,

⇒ 2 ≤ x ≤ 5

What is Line segment?

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

Given that;

The graph is shown in figure.

We know that;

The domain of the graph is the value of x where the graph is defined.

Hence, By the graph;

The domain of the graph is,

⇒ 2 ≤ x ≤ 5

Because at 2 and 5 the closed circle is defined.

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A number used to multiply a variable is a​

Answers

Answer:

The answer is coefficient. Does that help?

How many millimeters are in 1 centimeter?​

Answers

Answer:

10

Step-by-step explanation:

Answer:

10!

Step-by-step explanation:

If you need to find how many millimeters are in a certain amount of cm's, you can multiply the length (amount of cm) by 10, since there are 10 millimeters in a cm.

which number is in the tenths place value for the number 0.831

Answers

Answer:

8

I hope this helps!

Answer:

The number 8.

Step-by-step explanation:

The digit in the tenths place is 8. The tenth place is the first digit on the right side of a decimal point. 0.831

consider the inequality x<-34

-56 yes no
-21 yes no
19 yes no
36 yes no

please help i need to turn this in a few minutes

Answers

Answer:

-56 yes

        -21 no

         19 no

         36 no

Step-by-step explanation:

Inequality;

            x < -34

Problem:

-56 yes no

-21 yes no

19 yes no

36 yes no

Solution:

   The inequality signifies that x is less than -34, these are the number -34, -35, -36, -37 onward, so;

        -56 yes

        -21 no

         19 no

         36 no

Answer:

yes

no

no

no

Step-by-step explanation:

does anyone know the step by step for this 9(m +5) - 3(m - 2) = 8m + 31

Answers

Answer :

Given :

9(m + 5) - 3(m - 2) = 8m + 31

We have to find value of m[tex].[/tex]

➠ 9(m + 5) - 3(m - 2) = 8m + 31

➠ 9m + 45 - 3m + 6 = 8m + 31

➠ 9m - 3m + 45 + 6 = 8m + 31

➠ 6m + 51 = 8m + 31

➠ 51 - 31 = 8m - 6m

➠ 20 = 2m

➠ m = 20/2

m = 10

Hope It Helps!

1. distribute the left side of the equation
9m+45-3m+6 (make sure to distribute the negative sign)=8m+31
2. put all the variable terms on one side and the constants on the other
-2m=-20
3. divide by -2
m=10

5 points
You want to rent a car for a dayl It will cost the daily fee of $50 plus $0.35
per mile driven. Part A: Write an expression that shows the amount you will
pay for the car. Let m=the number of miles you drive for the day. Part B:
How much will you pay if you drive 80 miles?

Answers

Answer:

The payment for driving 80 miles is $78

Step-by-step explanation:

Mathematical model

Mathematical models are used in disciplines like natural sciences and engineering, among many others.

The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:

A fixed charge of $50

A variable charge or $0.35 per mile driven.

Part A

Using m as the number of miles driven for the day, the model for the payment for the car rental is:

P(m)=50+0.35m

Part B

Find the payment if the car is driven m=80 miles:

P(80)=50+0.35*80

P(80)=50+28=78

The payment for driving 80 miles is $78

find the following
50%of20​

Answers

Answer:

10%

Step-by-step explanation:

you would just divide it by 2.

Answer:

10

Step-by-step explanation:

because 50% is half so the half of 20 when you break it down is 10 or if its a percent 10%

On a​ map, 1 inch equals 15 miles. If two cities are 5 inches apart on the​ map, how far are they actually​ apart?

Answers

75 miles apart. Bababoi

Answer:

75 miles

Step-by-step explanation:

To find the answer, you should multiply 15 by 5 because if 1 inch is 15 miles, then 5 inches times 15 miles = 75 miles.

boy a and boy b are pushing a heavy table in the west direction at the same time with 10 units of force each.what is the net force acting on the object ?in which direction the table will move?​

Answers

Answer:

20 n

Step-by-step explanation:

as both are exerting force on the same side i.e. to the west side with 10 N each the total net force is 10+10=20N and the table will move to the west side....

Thank you

The net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.

What is gravitational force?

All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.

As we know, the gravitational force is given by:

[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]

Where G is the gravitational constant.

m1 and m2 are masses.

r is the distance between the masses.

It is given that:

Boy 'a' and boy 'b' are pushing a heavy table in the west direction at the same time with 10 units of force each

The table will shift to the west side since both are applying 10 N of force to the same side, i.e., the west side, for a total net force of 10+10=20 N.

Total net force = 10 + 10 = 20 units

Thus, the net force acting on the object will be 20 units and the direction will be the same as the direction of force applied.

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HELP THIS IS DUE TODAY

Answers

Answer:

First box:6 inches

Second box: 5 inches

Step-by-step explanation:

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

Divide both sides by [tex]\pi r^2[/tex]

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

First box: [tex]h=\frac{96\pi }{\pi(4)^2 } =\frac{96\pi }{16\pi } =6[/tex] inches

Second box: [tex]h=\frac{31.25\pi }{\pi (2.5)^{2} } =\frac{31.25\pi }{6.25\pi } =5[/tex] inches

Two lines intersecting at a right angle
form a line.
are parallel.
are perpendicular.
form aray

Answers

Answer:

Form aray

Step-by-step explanation:

Neither form a line and it also have both parts and perpendicular

10 points <33. f(x) =x to the second power - 3. evaluate f(11)

Answers

Answer:

f(11) = 118

Step-by-step explanation:

f(x) = x squared - 3    f(11)

f(x) = 11 squared -3    exponents first:

f(x) = 121 - 3

f(11) = 118

Hope this helped :)

2,000 students were surveyed about their summer plans. 13% of students stated they were going to get a job over the summer. How many students are working during the summer?

Answers

260 students

2000 times 0.13 is 260 or 13 percent of 200 is 260 students

find the price of a 17,100 tructk with a 5% sales tax round to the nearest cent when necessary ​

Answers

Answer:

85500

Step-by-step explanation:

solve the liner equation 3(2x-14)+x=15-(-9x-5)


PLEASE HELP! DO NOT PUT A SILLY AWSER I WILL REPORT YOU!

Answers

Answer:

x= -31

Step-by-step explanation:

Let's solve your equation step-by-step.

3(2x−14)+x=15−(−9x−5)

Step 1: Simplify both sides of the equation.

3(2x−14)+x=15−(−9x−5)

3(2x−14)+x=15+−1(−9x−5)(Distribute the Negative Sign)

3(2x−14)+x=15+−1(−9x)+(−1)(−5)

3(2x−14)+x=15+9x+5

(3)(2x)+(3)(−14)+x=15+9x+5(Distribute)

6x+−42+x=15+9x+5

(6x+x)+(−42)=(9x)+(15+5)(Combine Like Terms)

7x+−42=9x+20

7x−42=9x+20

Step 2: Subtract 9x from both sides.

7x−42−9x=9x+20−9x

−2x−42=20

Step 3: Add 42 to both sides.

−2x−42+42=20+42

−2x=62

Step 4: Divide both sides by -2.

−2x

−2

=

62

−2

x=−31

Answer:

give her brainliest

Step-by-step explanation:

Which of the following expressions is equivalent to
8(2x + 7)?
(1) 10x+15
(3) 16x+7
(2) 10x+7
(4) 16x +56

Answers

Answer:the answer is 34

Step-by-step explanation:

Which ratios have a unit rate greater than 1? Choose ALL that apply.


Answers

Answer:

Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.

hope this helps !! <3

The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

[tex]Unit \ rate =\frac{(9/8)}{(5/6)}\\Unit \ rate =\frac{9}{8} \times \frac{6}{5}\\Unit \ rate = \frac{54}{40} \\Unit \ rate =1.35 miles/hour[/tex]

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

[tex]Unit \ rate =\frac{7}{(3/4)}\\Unit \ rate =\7 \times \frac{4}{3}\\Unit \ rate = \frac{28}{3} \\Unit \ rate = 9.33miles/hour[/tex]

Hence the ratio that has a unit rate is 7 miles:3/4hours

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The probabilty of it raining on a given day is 3/8 what is the probabilty of it not raining?

Answers

Answer:

5/8

Step-by-step explanation:

If 3/8 IS raining, then the remaining 8ths is NOT raining. 8 - 3 = 5. So, 5/8 is NOT raining.

I hope this helps!

Answer:

5/8

Step-by-step explanation:

To find the probability of it not raining, subtract 3/8 from 1.

1 - 3/8

= 5/8

Since the probability of it raining is 3/8, this must mean that during the rest of the time, it will not rain.

So, the probability of it not raining is 5/8

The angle of elevation of the top of a
tower from the top and foot of a pole of
height 10 m are 30° and 60°. Then the
height of the tower is

Answers

Answer:

15 m

explanation:

Let AB and CD be the pole and tower respectively. Let CD=h Then ∠DAC=60 ∘ and∠DBE=30 ∘ Now CA CD ​ =tan60 ∘ = 3 ​ ∴CD= 3 ​ CA⇒ 3 ​ h ​ =CA Again BE DE ​ =tan30 ∘ = 3 ​ h ​ ∴(h−10)= 3 ​ BE ​ = 3 ​ CA ​ ...[∵BE=CA] = 3 ​ h/ 3 ​ ​ = 3 h ​ ⇒3h−30=h⇒2h=30⇒h=15

Hence, height of the power =15 m

Perimeter of a triangle is 450 m and its sides are in the ratio 13 : 12 : 5. Find the area of the triangle and the altitude to the largest side.
Answer with steps .

Answers

Answer:

a = 195 m , b = 180 m , c = 75 m  

Step-by-step explanation:

Let "a,b and c" be the sides of the triangle in the ration - 13:12:5

therefore , a:b:c = 13:12:5 => a = 13x , b = 12x , and c = 5x

therefore , Perimeter = 13x + 12x + 5x = 450

=> 30x = 450

=> x = 15

therefore , a = 13 x 15

b = 12 x 15 and

c = 5 x 15

hence , a = 195 m , b = 160 m and c = 75 m

(3.9 x 10^-3) + .0026 in scientific notation

Answers

.0026 in scientific notation is 2.6 x 10^-3 so just add 2.6 x 10^-3 + 3.9 x 10 ^-3

The value of (3.9 × 10⁻³) + 0.0026 in scientific notation is 6.5 × 10⁻³.

What is Decimals numbers?

Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.

Decimal number system describes the base 10 number system.

Given are numbers 3.9 × 10⁻³ and 0.0026 added together.

We have to do it in scientific notation.

0.0026 can be written as 2.6 × 10⁻³.

Adding these two numbers together, and taking the common term,

(3.9 × 10⁻³) + (2.6 × 10⁻³) = (10⁻³) (3.9 + 2.6)

                                        = (10⁻³) (6.5)

                                        = 6.5 × 10⁻³

Hence the answer of the sum of (3.9 × 10⁻³) + 0.0026 is 6.5 × 10⁻³ in scientific notation.

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Solve the inequality
3m - 3(m + 8) > 3m

Answers

Answer:

m<−8

Step-by-step explanation:

What is the volume of the cylinder with height 8m and radius of 5m

Answers

Question :-

What is the volume of a cylinder with a radius of 5 m and a height of 8 m?

Answer :-

The volume of a cylinder is 628 m³.

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{8 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 8 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(8 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(8 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(8 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 628 \: m^3}[/tex]

Therefore :-

The volume of a cylinder is 628 m³.

[tex]\\[/tex]

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Have a great day! <33

Solve for variable 24a-22=-4(1-6a)

Answers

Answer:

a = undefined/no real solution

Step-by-step explanation:

Expand

24a - 22 = -4 + 24a

24a - 24a = -4 + 22

0a = 18

a = undefined/no real solution (when something is divided by 0 it becomes undefined)

The equation 24a - 22 = -4(1 - 6a) have no solution for the variable "a".

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Given:

equation 24a - 22 = -4(1 - 6a)

1. Distribute the -4 to the terms inside the parentheses:

  24a - 22 = -4 + 24a

2. Simplify the equation by combining like terms:

  24a - 22 = 24a - 4

3. Rearrange the equation by moving all the terms involving "a" to one side and the constant terms to the other side:

  24a - 24a = -4 + 22

4. Simplify  24a - 24a = -4 + 22:

  0 = 18

The equation 0 = 18 is not true, which means there is no solution.

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2) Eighty students were surveyed as they left the cafeteria after lunch. The following were
the results: 50 students had pizza, 40 students had soda, 21 students had pizza and soda,
17 students had pizza and a cookie, 18 students had soda and a cookie, and 10 students had
all three. How many students had a cookie only?

PLS HELP I HAVE BEEN TRYING TO DO THIS FOR AN HOUR.SOLVE USING A VENN DIAGRAM(GEOMETRY)

Answers

Answer:

I believe that 11 students ate only the cookie.

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The pecan tree has been an American icon for over two hundred years. Before Europeans came to North America, Native Americans were aware of, and regularly ate, fruit from the pecan tree. Pecan trees are deciduous, losing their leaves in mid-November. Once planted, the pecan tree can live and bear fruit for over three hundred years. They reach enormous heights, the highest of which is a reported 180 ft. As a member of the hickory family of trees, the pecan is not a true nut but a drupe (fruit with a single stone or pit). This makes the fruit similar to that of coffee shrubs, olive trees, and date palms. Thomas Jefferson wrote about and cared for an entire orchard of pecan trees, and he spread his love of the tree and its fruit to other founding fathers, namely George Washington. Pecan trees have only recently been cultivated on a large scale by growers, mainly because the pecan nut is a healthy food that is high in both protein and unsaturated fats. Dieticians say that eating a handful of pecans every day is enough to lower unwanted, bad cholesterol as much as some prescription medications. Not only are pecans good for cholesterol, but they also help to prevent heart disease. Pecans are also regularly used in dishes and desserts, the most famous of which is the very American pecan pie.2Select the correct answer.What is the best way to describe the author's purpose in writing this piece?A. to persuade readers to plant and grow pecan treesB. to inform readers about the pecan tree and its fruitC. to describe the way early people cultivated pecansD. to entertain with a story about Thomas Jefferson A 78 kg runner exerts a force of 69 N. What is the acceleration of the runner?(use the formula a=F/m) Which of the following was NOT a step in the goal to Americanize Indians?A. Teaching them the advantages of individual property rightsB. Converting to Christianity C. Teaching them to hunt rather than farmD. Enrolling children in school Help me please Ill mark brainliest 3. All of the following are wire protection devices except:(A) heat shrink tubing.(B) Flux(C)liquid electrical tape,(D) wiring harness, Can u pass the 8 grade with a F and a D+ find the smallest number by which 339 must be multiplied so that the product is a perfect cube. also find the cube root of the perfect cube so obtained Which of the following was an important effect of the outbreak of the plague on the economies of Asia and Europe? The supply of laborers earning low wages in Europe increased as artisans left urban centers to work in healthier environments. The demand for goods in Europe decreased as populations in urban centers declined. Trade heading westward from East Asia declined as sea travel became more risky due to the disease. Ottomans sought new ways of connecting traders from Europe and Asia through their areas of control. Judgment based on evidence refers to a. letting employees know what criteria are used in appraisal. b. ensuring that there is two-way communication during the appraisal process and the employees perspective is heard. c. documenting performance problems and using factual evidence in rating performance. d. the process where feedback is confidentially gathered from peers, customers and subordinates. Part EHow much more money did movie B earn than movie E that week?Please help!B: $60,394,938.12E: $10,505,611.08 3.7b+7=8.1b-19.4 is it a solution A chemistry teacher has a flask of a 45% acidic solution and another bottle of 28% acidic solution. How much would he need to use of each container to arrive at a final solution that is 100 mL of a 33.95% solution? help me plz i dont get it Which transformation can be used to accomplish this? A-translation B-reflection C-rotation D-dilation If 8 is an element in the domain of f(x) 5x-25 over 4, what is the corresponding element in the range? HELP ME PLZZ I NEED HELP WITH THIS !! ITS NOT B OR C ! What is the value of x in the equation 2 x + 4 =-8? 3 Mrs. Canales pointed to an apple sitting on her desk.She asked her students to describe any forces actingon the apple. This is what some of her stu-dents said.Archie: "The only force acting on theapple is air pressure."Sam: "There is one force acting on the apple. Gravity is the force that pulls onthe apple."Soledad: "There are two forces: the desk pushes up on the apple and gravity pullsdownward on the apple."Misha: "There are many forces acting on the apple; but, it is the holding force in theapple that keeps it on the desk."Tess: "There are no forces acting on the apple because the desk stops any forcesfrom acting on it."Which student do you most agree with? Helps me solve this problem please Can you please rate this before i turn it in----/100%what would you choose