Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.

1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)

Answers

Answer 1
Answer:

Explanation:

1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2

2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1

3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5

4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6

5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3

6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3

Related Questions

Help I appreciate it thank you

Answers

Answer:

Yes.

Step-by-step explanation:

As long as there is exactly one y value for each x value, it is a function.

Use opposite operations to solve 3/4 x=6

Answers

Answer:

x=8

Step-by-step explanation:

3x/(4 x 4) =6(4)

cancel the four in the left side

3x=24

then divide 3 on both sides

3x/3=24/3

cancel the 3 on the left

x=8

Which best describes the accuracy of Jill’s solution? Jill’s solution is accurate. Jill omitted a factor pair, which affected the GCF and factored expression. Jill made an error when determining the GCF from her list of factors. Jill made an error when writing the factored expression.

Answers

Answer:

Jill made an error when writing the factored expression.

Answer:

(B): Jill omitted a factor pair, which affected the GCF and factored expression.

Step-by-step explanation:

Hope this helps!! :D

Evaluate: -30 ÷ 2

a. 10
b. 15
c. -15
d. -10

Answers

C......................
Answer:-15Step-by-step explanation:-30/2=1530/2=15

Convert -145 degrees to radians.

Answers

I got -2.53073 I don’t know if it’s right but I hope it helps

Answer:

[tex]\frac{-29}{36}[/tex]π

Step-by-step explanation:

Find the quotient −40÷20.

Answers

Answer:

-2

Step-by-step explanation:

Answer: -2

Step-by-step explanation: -40/20=-2, 20x-2=-40.

Tori is sending a birthday gift to her friend out of state and wants to know how much brown paper she will need to
cover the box.
8 in
10 in.
14 in
Which statement is true about the amount of paper Tori will need to cover the entire box?
O Covering the entire box is the surface area, which is 664 in.?.
O Covering the entire box is the surface area, which is 1,120 in.?
O Covering the entire box is the volume, which is 664 in.3.
O Covering the entire box is the volume, which is 1,120 in.?.

Answers

Answer:

A. Covering the entire box is the surface area, which is 664 in.

Step-by-step explanation:

I did the test myself. Have a great day/night! Good luck with the rest of your test! <3

2.16 or 2.8 which is bigger

Answers

Answer:

2.8

Step-by-step explanation:

2.16=2.16

2.8=2.80

8 is bigger than one

Answer: 2.8

Step-by-step explanation: the 0.8 is bigger than the 0.16.

Solve the for the variable. SHOW ALL WORK/EXPLAIN EVERY STEP!!!
2(x-2)-5=3-2x+6​

Answers

Answer:

x=9/2

Step-by-step explanation:

First distribute 2

2x-4-5=3-2x+6

Add the like terms on the left side -4-5=-9

2x-9=3-2x+6

Do this with the right side 3+6=9

2x-9=-2x+9

Add 9 from the left side to the right side

2x=-2x+18

Then add 2x from the right side to the left side

4x=18

Divide 4 from both sides

x=18/4 or 9/2

Answer:

9/2

Step-by-step explanation:

2x-4-5= 3-2x+6  distribute 2 through the parentheses

2x-4-5=9-2x     add the numbers

2x-9=9-2x calculate the difference

2x+2x-9= 9  move variable to left side and change sign

2x+2x= 9+9 move constant to right side and change sign

4x= 18  collect like terms

x=9/2 divide both sides by 4

A t-shirt increased in price by
1

4
. After the increase it was priced at £20. What was the original price of the t-shirt?

Answers

Answer:

16

Step-by-step explanation:

Evaluate the expression x/2+5x−7 when x=2 .

Answers

Answer:

The Answer is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

So you inscert x as 2 which will give you

2/2+5(2)−7 (punch that in the calculator)  

= 4

or if you need to expand your answer you can write it down like this

= 2/2+5(2)−7

= 1+10-7

= 11-7

= 4

The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?

Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question.

Explain your steps:

Answers

Answer:

3/4 or .75 teaspoons for 9 potatoes.

Step-by-step explanation:

1/4:3 is the original ratio. In order to find the equivalent ratio when 3=9, you would have to multiply.  

3x3=9

1/4x3=.75

Answer:

1/4 over 3 = p/9

Step-by-step explanation:

Find the slope of the line that passes through (6, 7) and (1, 11).

Answers

Answer: -4/5

Step-by-step explanation:

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

In order to find the answer to this question you must to use the formula of slope, substitute the values, and then solve.

[tex]slope = \frac{y2-y1}{x2-x1}[/tex]

[tex]P1=(6,7)=(x1,y1)[/tex]

[tex]P2=(1,11)=(x2,y2)[/tex]

Substitute:

[tex]\frac{11-7}{1-6}[/tex]

Solve:

[tex]11-7=4[/tex]

[tex]1-6=-5[/tex]

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

Simplify:

[tex]\frac{4}{5}[/tex]

Hope this helps.

Solve for y: 7+ 2(x + y) = 11

HALP AAAASAAAPPP!!!

PLS & THANKS!
I will mark brainly
Quote of the day: Cheese is just a loaf of milk.

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

y = 2 − x

-16h = 112

Help please

Answers

Answer:

-16h=112

Step-by-step explanation:

inverse operations

-16h/-16=112/-16

h=-7

all of the following are terminating decimals except__.
17/50
1/8
2/3
2/5​

Answers

Answer:

17/50=0.34

1/8=0.125

2/5=0.4

2/3=0.6667

Step-by-step explanation:

Need help please!!!!

Answers

Answer:

72

Step-by-step explanation:

The answer is 72 because it is a simliar triangle, all the sides are proportional to each other. 45/5=9, 63/7=9, so the factor is 9. 9 times 8 is 72.  

Help again! This is super important!!!

Answers

Answer:

2 and 4 are Not a function

1 and 3 are a function

Step-by-step explanation:

Answer:

2nd and 3rd are functions and 1st and last are not functions

Step-by-step explanation:

Mia is investing $8,000 into an account that earns simple interest at a rate of 4.5% for 48 months. How much interest will she have earned at the end of the 48 months

Answers

Answer:

2.16

Step-by-step explanation:

4.5% x 48= 2.16

. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?

Answers

Answer:

4miles

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

Mr. Ramsey bought 5 pounds of dog food for $10. How much did he pay per pound in dollars?

$15.00 per pound
$5.00 per pound
$50.00 per pound
$2.00 per pound

Answers

Answer:

$2.00 per pound

Step-by-step explanation:

10/5=2

Answer: 2.00 per pound

Step-by-step explanation:

2 divided by 5= 0.4

Angle ABC has a measure of 125° Angle ABC is rotated 75° about point B to create angle A'B'C'. What is the measure, in degrees, of angle A'B'C

Answers

Answer:

m∠A'B'C' is 125°

Step-by-step explanation:

The given parameters are;

The measure of ∠ABC = 125°

The form of transformation applied to ∠ABC = 75° rotation about the point B

Given that a rotation of a geometric figure is a form of rigid transformation, the distance between the coordinates of the points in the preimage are equal to the distance between the coordinates of the points on the image;

Therefore, the angle formed by the ray AB and CB and the angle formed by the ray A'B' and C'B' are equal

From which we have;

m∠ABC = m∠A'B'C' = 125°

solve the equation
[tex]2 {}^{2} \times (4a - 8) = 16[/tex]

Answers

Answer:

[tex]a=3[/tex]

Step-by-step explanation:

[tex]2^{2} \cdot(4a-8)=16\\4\cdot(4a-8)=16\\16a-32=16\\16a=48\\a=3[/tex]

Hope this helps :D

Answer:

a = 3 is your answer

hope it helps

what is 5y^3 without an exponent

Answers

5y*3

Would be the same as 5y multiplied bites of three times

It would be

5y*5y*5y

Which of following is the graph of y = -(x + 1)2-3?

Answers

Answer: the third option

Step-by-step explanation:

Edge 2020

Answer: It is C

Step-by-step explanation: I got it correct.

There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.

Answers

Answer

The answer is 14:13

14:13 is ratio can’t be simplified

*PLEASE ANSWER* // *CONFUSED*
Which type of compound inequality is |y−3|−4≤−3?
a.) disjunction

b.) intersection

c.) hole

d.) union

Answers

Answer:

  b.) intersection

Step-by-step explanation:

The given inequality can be rearranged so that you can see the solution space is one continuous interval.

__

It is described by the intersection of two inequalities.

  |y -3| -4 ≤ -3 . . . . . . given

  |y -3| ≤ 1 . . . . . . . . add 4

  -1 ≤ y -3 ≤ 1 . . . . . "unfolded", the intersection of two inequalities

  2 ≤ y ≤ 4 . . . . . . . add 3

This means 2 ≤ y and y ≤ 4, the intersection of the two inequalities.

_____

Additional comment

If the inequality were of the form ...

  |y -3| ≥ 1

then it would "unfold" to ...

  -1 ≥ y -3   or   y -3 ≥ 1

and the solution intervals would be disjoint. The solution would be the union of the solution intervals of the individual inequalities.

Answer:

intersection is right

Step-by-step explanation:

select all that apply which decimals in the list are repeating decimals
5/6
4/15
3/5
1 3/4
1/3
4/1000​

Answers

Answer:

I believe it's 1/3 hope it's right :)

Answer:

1/3 , 4/15 , 5/6

Step-by-step explanation:

All you have to do is plug the fractions in your calculator and you see that 1/3, 4/15, and 5/6 are repeating, but the others stop after only a couple of decimal places.

Hope this helps!

Ariana borrows $200 on a 6-year loan.She is charged 5% simple interest per year.How much interest is she charged for 6 years?What is the total amount she has to pay back? PLS HELP

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $200

Interst rate (r)= 0.05

Time (t)= 6

First, we need to calculate the total interest using the following formula:

I= P*r*t

I= 200*0.05*6

I= $60

Now, the total debt:

Total debt= P +I

Total debt= 200 + 60

Total debt= $260

what is x and y:
y= 2x-11
y=x-3

Answers

X=8 and y=5 is the correct answer:)
Answer:

Well we already have y, so I’m terms of x, the following should be what you need.

y=2x-11
0=2x-11
-2x=-11
-2x/-2=-11/-2
x=11/2 or 5 1/2 or 5.5

y=x-3
0=x-3
-x=-3
x=3
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