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77julia77 [94]
2 years ago
8

Given f(x)=2x+1 and g(x)=7-x. Find g(f(x)).

Mathematics
1 answer:
Darina [25.2K]2 years ago
6 0

Answer:

f(g(x)) = 2(7 - x) + 1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 7 - x

The question in the picture itself says to find f(g(x)) so i'll find that instead

f(g(x)) = 2(7 - x) + 1

f(g(x)) = 14 - 2x + 1

f(g(x)) = -2x + 15

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A boy rides his bike at a speed of 28 miles per hour. How
sergejj [24]

Answer:

About 4 hours.

Step-by-step explanation:

Let's set up a proportion and cross multiply.

\frac{28 miles}{1 hour} = \frac{120 miles}{x}

Cross multiply.

120 = 28x

Divide by 28 on both sides.

= 4.28571428571

Round this to the nearest whole number, which is just 4. The answer is about 4 hours.

6 0
2 years ago
Round each number to the nearest ten. 283
arsen [322]
283 rounded to the nearest ten is 280
When rounding to the nearest ten look at the number to the right of the place you are rounding. In this case it is the 3. If the number is 5 or higher you go up to the nearest ten. If the number is lower than 5 like it is in this number you round down to the nearest ten.
5 0
3 years ago
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0
3 years ago
Arun spends some of the money from his monthly salary on food, travelling
Katarina [22]

Answer:

ummm where is the question anyway?

8 0
3 years ago
Simplify the expression below:
kifflom [539]

Answer:

C. -7x^2 - 28

Step-by-step explanation:

Firstly simplify the bracket before doing anything;

4x(3x - 7) = 12x^2 - 28x

then go back to the question and substitute the expression(12x^2 - 28x) on the bracket and then work out the question;

12x^2 - 28x -19x^2...then group the values with the same exponent of x,

(12x^2 - 19x^2) - 28x

; -7x^2 - 28x

6 0
3 years ago
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