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Ivenika [448]
3 years ago
13

F(x)= -4x+7 and g(x)= 10x-6 find f(g(x))

Mathematics
1 answer:
Ratling [72]3 years ago
7 0
F(x) = -4x + 7
g(x) = 10x - 6

f(g(x)) = -4(10x - 6) + 7
f(g(x)) = -4(10x) + 4(6) + 7
f(g(x)) = -40x + 24 + 7
f(g(x)) = -40x + 31
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(07.08)
Black_prince [1.1K]

If the given expression is simplified we get a. -4x² - 3x + 2.

Explanation:

  • The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
  • So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
  • The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
  • The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
  • The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
  • Adding all the terms we get -4x² - 3x + 2. This is the option a.
6 0
3 years ago
Help quickly! 10 points!
german
The answer is vertex
6 0
3 years ago
What is 312.501 rounded to the nearest whole number? A. 310 B. 311 C. 312 D. 313
lorasvet [3.4K]
313. Anything .5 or higher rounds up to the higher number.
Hope it helps!
8 0
3 years ago
Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she
ella [17]

Answer:

cost of nachos = $3.45

Cost of tacos = $1.5

Step-by-step explanation:

Let

x = cost of nachos

y = cost of tacos

11x + 18y = 64.95 (1)

6x + 15y = 43.20 (2)

Multiply (1) by 6 and (2) by 11 to eliminate x

66x + 108y = 389.70

66x + 165y = 475.20

Subtract to eliminate x

165y - 108y = 475.20 - 389.70

57y = 85.50

y = 85.50/57

y = 1.5

Substitute y = 1.5 to find x

11x + 18y = 64.95 (1)

11x + 18(1.5) = 64.95

11x + 27 = 64.95

11x = 64.95 - 27

11x = 37.95

x = 37.95/11

x = 3.45

cost of nachos = $3.45

Cost of tacos = $1.5

8 0
3 years ago
Which graph represents (,y)-pairs that make the equation y = 2x true?
Veseljchak [2.6K]

Answer:

Pairs (2,4), (4,8) and (5,10) makes the equation y=2x true

Step-by-step explanation:

By using the equation y=2x, eval the following points (gathered from the attached picture)

1. (2,4) which leaves us 4=2*2

2. (4,8) which leaves us 8=4*2

3. (5,10) which leaves us 10=5*2

All points from this graph satisfies the equation y=2x

8 0
3 years ago
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