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


These two triangles are similar what is the measure of angle M?

Answers

Answer:

30

Step-by-step explanation:

We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:

180=102+48+m

180=150+m

30=m

Answer:

A. 30 degrees

Step-by-step explanation:

They are similar aka the same or congruent and since you know all three angles you just match them up.

Help me asap
The hanger image below represents a balanced equation. Write an equation to represent the image.

Answers

Answer:

1/5 + 2/5 = 3/5

Step-by-step explanation:

your welcome

Answer:

1/5+z=3/5

Step-by-step explanation:

Write an equation of the line parallel to given that contains C(6,-2);=-3/2x+6

Please answer this asap

Answers

Answer:

3/-2-2

Step-by-step explanation:

this should be parrallel

Simplify the expression:

m - 1/6 - 4m + 5/6

Answers

Answer:

-3m+2/3.     2/3 is a fraction

Step-by-step explanation:

What is 83 1/3% of 30

Answers

answer: 25

step by step explanation:
yw
hope this helps
give brainliest plz

Find the equivalent function of sin(180+x)

Answers

Answer:

The equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]

i.e.

[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]

Step-by-step explanation:

Considering the function

[tex]sin\left(180^{\circ }+x\right)[/tex]

Solving

[tex]sin\left(180^{\circ }+x\right)[/tex]

Using the angle sum identity:

[tex]\sin \left(s+t\right)=\sin \left(s\right)\cos \left(t\right)+\cos \left(s\right)\sin \left(t\right)[/tex]

[tex]=\sin \left(180^{\circ \:}\right)\cos \left(x\right)+\cos \left(180^{\circ \:}\right)\sin \left(x\right)[/tex]

as

[tex]\cos \left(180^{\circ \:}\right)=\left(-1\right)[/tex]

[tex]\sin \left(180^{\circ \:}\right)=0[/tex]

so

[tex]=0\cdot \:\cos \:\left(x\right)+\left(-1\right)\cdot \:\sin \:\left(x\right)[/tex]

[tex]=0\cdot \cos \left(x\right)-1\cdot \sin \left(x\right)[/tex]

[tex]=0-1\cdot \sin \left(x\right)[/tex]

[tex]=0-\sin \left(x\right)[/tex]

[tex]=-\sin \left(x\right)[/tex]

So, the equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]

Therefore:

[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]

geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!

Answers

Answer:

Bro just complete your project. That's just plagiarism.

Step-by-step explanation:

Sorry but the teacher WILL notice.

Need Help Asap! Thank you!

Answers

The answer should be option C, the one with the the graph labeled G.

PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

Answers

Answer:

7

Step-by-step explanation:

When I bought my car it was $25,000. My car’s value is now $11,000. What percentage is my car now from its original price?

Answers

Answer:

56% should be the answer

Two sisters bought together 14 books. One bought 9 books. Which of the following equation represent the number of books bought by the other sister (x)?

Answers

Answer:

9+x=14

Step-by-step explanation:

The x represents the other sister and all the books together would equal 14. The other sister got 5 books!

The equation that represents the number of books bought by the other sister is x + 9 = 14.

Here, we have,

given that,

Two sisters bought together 14 books. One bought 9 books.

To represent the number of books bought by the other sister (x) given that the two sisters bought together 14 books and one sister bought 9 books, we can use the equation:

x + 9 = 14

In this equation, x represents the number of books bought by the other sister.

The equation states that the sum of the number of books bought by the other sister (x) and the sister who bought 9 books is equal to the total number of books bought together, which is 14.

Therefore, the equation that represents the number of books bought by the other sister is x + 9 = 14.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ2

how many 4-digit number are divisible by 7,8,10 and 25​

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.

  LCM(7, 8, 10, 25) = 7×8×25 = 1400

There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...

  1400, 2800, 4200, 5600, 7000, 8400, 9800

anyone her watch technoblade


1+1

Answers

Answer:

Yes.

Also, 1 + 1 = 2

Also:

Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.

Answer:

yes technoblade never dies

1+1=2

Aidan had 13 tropical fish and gave 8 of them to his brother then Aidan bought 6 more from the pet store each fish cost $9.45 how many fish does Aidan have now

Answers

Answer:

11 fishes

Step-by-step explanation:

Answer:27

Step-by-step explanation: add all the answers

b The lines are translations of each other
The lines are reflections of each other
d They have the same y-intercept
e a
Both lines have a positive slope.
с

Answers

Answer:

A, B, E

Step-by-step explanation:

The slope is the same (1/4x)

it is a translation given the y intercept moved it 5 units

they are both positive

I thought a bleep who lost the baddest bleep said sum

Answers

Answer:

i did say something boo boo

Step-by-step explanation:

Answer:

They did, I believe bleep's last words were "One day all this will fade away."

Step-by-step explanation:

May I have brainliest please? :)

what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8

Answers

Slope is the change in y over the change in x:

Slope = (-7 - 1) / (2 - 5)

Slope = -8/-3

Slope = 8/3

(y2-y1)/(x2-x1)
(-7-1)/(2-5) = -8/-3
It would be C. 8/3

Find X if m/angle UVY=84 degrees.

Answers

Answer:

x = 42º

Step-by-step explanation:

We know that m < UVY is equal to 84º (Given)

We know that < UVY = < SVW (Vertical Angles Theorem)

By substituting in the known values for the anges, we know that:

< UVY = < SVW

84º = 2x

Simplify the equation by dividing by 2 on both sides.

x = 42º

Hope this helps! Let me know if you have any questions!

Solution given:

<UVY=2x[vertically oppisite anglle]

x=84/2=42° is your answer

Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.

Answers

Answer:

Ivette is wrong and by a lot. The spaceship should be 23.59 feet high

Step-by-step explanation:

The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.

In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 =  23.59 feet high.

When you make scale drawings or scale cakes, you must keep the same proportions as the original model.

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

Answers

Answer:

A and D

Step-by-step explanation:

I took the assignment

Answer:

a, d

Step-by-step explanation:

Solve the system of equations below.
y=3x
2x + y = 15

Answers

Answer:

x=3

Step-by-step explanation:

2x+(3x)=15

5x=15

x=3

solving for y:

3(3)=9

y=9

Answer:

(y,x) (9,3)

Step-by-step explanation

9x + 11 = 110
what is x ?

Answers

Answer:

x = 11, lucky you, this stuff is easy

Step-by-step explanation:

110 - 11 = 99

9 x 11 = 99

99 + 11 = 110

Answer:

x = 11

Step-by-step explanation:

9x + 11 = 110

- Pass the 11 to the other side of the equation (grouping similar terms) and then perform the following operation:

9x = 110 - 11

9x = 99

- Now we have to obtain x by dividing 9 on both sides of the equation:

(9/9)x = 99/9

x = 99/9, which is divisible by 11.

What is m∠A?

m∠A =
A. 66
B. 57
C. 113

Answers

Answer:

m∠A =

A. 66°

Step-by-step explanation:

∠C = ∠B

57 + 57 = 114

∠A = 180 - 114 = 66

Juan reads 300 pages 5 days which reading rate is equivalent

Answers

60 pages per day!

It is shown that One is reading 300 pages in five days so we need to find a reading rate which would be the total number of pages one reads over the number of days so the substitute does values by doing 300/5 you would get 60 pages per day

ASAP please i need helppp

Answers

HAHAHHAH UR IN EXAM can I answer now?
I think it’s the first one

Is 78 − –5 positive or negative?

Answers

Answer: it would be a positive

Answer:

the answer is positive because 78 is bigger than -5

Step-by-step explanation:

Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *

Answers

Answer:

the answer would be 1.82

Step-by-step explanation:

it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60

Answer:

$0.55 Hope this helps!!!!!!!

Step-by-step explanation:

Remember that is that a dozen is equal to 12.

12x= 6.60

/12     /12

x=.55

3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither

Answers

Answer:

The two lines are neither

Step-by-step explanation:

Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]

∵ The equations of the lines are

8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd

∵ In the 1st equation a = 8 and b = 1

m1 = [tex]\frac{-8}{1}[/tex] = -8

∴ The slope of the 1st line is -8

∵ In the 2nd equation a = 4 and b = 3

m2 = [tex]\frac{-4}{3}[/tex]

∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]

→ By using the facts above

m1 ≠ m2

∴ The two lines are not parallel

∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]

m1 × m2 ≠ -1

∴ The two lines are not perpendicular

The two lines are neither parallel nor perpendicular

A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?

Answers

Answer: 20 miles? lol

Step-by-step explanation:

Answer is 20

Explanation:

50% of 20 is 10.

10 + 10 = 20.

a hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.
Please help i need ths asap

Answers

Answer:

113º

(pls mark brainliest if possible)

Step-by-step explanation:

Hexagon has sum of interior angles as 720º

127+85+121+135+139+x=720

607+x = 720

x= 113º

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