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mars1129 [50]
3 years ago
8

What is (f - g)(x)? f(x) = 3x? g(x) = -x? + 4

Mathematics
1 answer:
Sav [38]3 years ago
6 0

Answer:

(f - g)(x) = 4x - 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x

g(x) = -x + 4

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find</u>

  1. Substitute:                    (f - g)(x) = 3x - (-x + 4)
  2. Distribute -1:                 (f - g)(x) = 3x + x - 4
  3. Combine like terms:    (f - g)(x) = 4x - 4
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Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages wil
inna [77]

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 =    462.5 pages

8 0
3 years ago
A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

 

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

Therefore, A = x%5E2+-+2x+-+15

8 0
3 years ago
The annual snowfall in city A is 58.7 inches. This is 12.5 inches more than six times the snowfall in city B. Find the annual sn
Lelechka [254]
The annual snowfall for city B is 7.7 inches. 
Since it is 12.5 inches more: 58.7 - 12.5 = 46.2
Since 46.2 is 6 times that of city B: 46.2 / 6 = 7.7


3 0
3 years ago
Read 2 more answers
The sum of the angle measures of any triangle is 180 degrees. Angle 2 is twice the measure of angle 1. Angle 3 is 15 degrees les
allochka39001 [22]

Answer:

Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63

Step-by-step explanation:

78/2 = 39

(Angle 2/2 = Angle 1)

78 - 15 = 63

(Angle 2 - 15 = Angle 3)

39 + 78 + 63 = 180

(Angle 1 + Angle 2 + Angle 3 = 180)

7 0
3 years ago
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Amita wants to make a mold for a candle. She wants the shape of the candle to be a rectangular prism with a volume of exactly 28
forsale [732]
The volume of a rectangular prism is L * W * H.

We are looking for whole numbers that multiply to 28.

There are 10 possible molds.

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14, 2, 1

1, 14, 2

1, 2, 14

7, 4, 1

4, 1, 7

7, 1, 4

7, 2, 2

2, 2, 7



4 0
3 years ago
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