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algol [13]
3 years ago
5

Find (ƒ – g)(x) where ƒ(x) = 2x2 + 5x – 8, g(x) = –x2 + 6x.

Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

A

Step-by-step explanation:

ƒ(x) = 2x2 + 5x – 8

g(x) = –x2 + 6x

(ƒ – g)(x)=2x2+5x-8-(-x2+6x)

=2x2+5x-8+x2-6x

=3x2-x-8

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3 years ago
ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?
marysya [2.9K]

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

5n + 55 = 180

5n = 125

n = 25

Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°

7 0
3 years ago
Identify the domain and range of the function f(x) = 2x2 − 6x − 9.
mash [69]
Range is the y values or ouputs
domain is inputs or x vvalues

we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value

-b/2a=-(-6)/(2*2)=6/4=3/2

plug that in
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2(9/4)-9-9
9/2-18
4.5-18
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domain=all real numbers
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3 years ago
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aliya0001 [1]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of th
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Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

y = 300 - 16t^2

Required

Solve for t when height is 11ft

This implies that y = 11

So: substitute 11 for y in y = 300 - 16t^2

11 = 300 - 16t^2

Collect Like Terms

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Express both sides as squares

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(4t)^2 = 17^2

Take square roots of both sides (ignore negative)

4t = 17

Solve for t

t = \frac{17}{4}

t = 4.25

Hence, time to land on 11ft is 4.25 seconds

8 0
3 years ago
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