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dangina [55]
3 years ago
7

If f(x) = -4x^2 - 6x - 1 and g(x) = -x^2 - 5x + 3, find (f + g)(x).

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

-5x^{2}-11x+2

Step-by-step explanation:

-4x^{2} \\-6x-1-x^{2}-5x+3=-5x^{2}-11x+2

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Which equation represents y = x2 + 16x + 70 in vertex form?
baherus [9]

Answer:

y = (x + 8)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² + 16x

y = x² + 2(8)x + 64 - 64 + 70

   = (x + 8)² + 6 ← in vertex form

8 0
3 years ago
A student spent 15 minutes getting a 2-foot by 3-foot bulletin board. To the nearest tenth of a minute, how long did it take the
Cerrena [4.2K]

Answer:

The student took 2.5 minutes to paint 1 square foot.

Step-by-step explanation:

In order to know how long the student took to paint each square foot we first need to know the total area of the bulletin board. Since it is a rectangle we can compute it's area by multiplying the width and the height. That is:

area = 2*3 = 6 square foot

Since the student took 15 minutes to paint the whole board the pace at which he was working can be calculated by dividing the total area of the board by the time he took to paint all of it. So we have:

pace = 6/15 = 0.4 foot/min

To find how long it took him to paint 1 square foot we can divide it by the pace he was painting. We have:

time = 1/0.4 = 2.5 minutes

The student took 2.5 minutes to paint 1 square foot.

3 0
3 years ago
Is 3x + 2y = 6 a function??
mel-nik [20]

Answer:

B

Step-by-step explanation:

2y=-3x+6

y = -0.5x + 3

this is a function because it is a linear equation that isn’t undefined

5 0
3 years ago
Factor this expression. Select the correct answer from each drop-down menu.
umka21 [38]
The answer is (3x+4)(x-5)
7 0
3 years ago
Read 2 more answers
Can you help me solve this word problem?
WITCHER [35]
I hope this helps you



if 18 gallons for 420 miles


? gallons for 357 miles



?.420=18.357



?=15,3
3 0
3 years ago
Read 2 more answers
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