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umka21 [38]
3 years ago
15

The function f(x) = 2x2 + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corr

esponding range values for f(x)?
Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

[-16,-4]

Step-by-step explanation:

We are given that

f(x)=2x^2+6x-12

Domain=[-2,1]

We have to find the set of range values of f(x).

Substitute x=-2

f(-2)=2(-2)^2+6(-2)-12

f(-2)=-16

Substitute x=1

f(1)=2(1)+6(1)-12=-4

Range of f(x)=[-16,-4]

Hence, the set of range values of f(x)

[-16,-4]

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3 years ago
Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.
Alexandra [31]

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

5 0
4 years ago
Lilly has read seven-eighths of her book and is on page 147. How many pages does lilly have left to read?
lara [203]

Answer:

21

Step-by-step explanation:

Since Lilly has read 7/8 of her book (aka 147 pages), divide 147 by 7 and you get 21.

This means 1/8=21

Since she has read 7/8 of the book, and the full book is 8/8, 8/8-7/8= 1/8

Meaning she has 1/8 of the book left to read.

As said before, 1/8 =21

Thus, she has 21 pages left to read.

4 0
3 years ago
Pls help me I rlly don’t get it :(
zhenek [66]

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Let's start with #12.  The hypotenuse is 18.  The side adjacent to ∠B is 6.  Since we have the adjacent side and hypotenuse, we should use cosine.

cos B = 6/18

Solving for B:

B = cos⁻¹(6/18)

Using a calculator:

B ≈ 70.5°

Now let's do #14.  The side adjacent to ∠B is 19, and the side opposite of ∠B is 22.  Since we have the adjacent side and opposite side, we should use tangent.

tan B = 22/19

Solving for B:

B = tan⁻¹(22/19)

Using a calculator:

B ≈ 49.2°

8 0
3 years ago
Complete the recursive formula of the arithmetic sequence 4, 22, 40,58, ....
dlinn [17]

Answer:

b (1)= 4

b (n)= b (n-1)+ 18

Step-by-step explanation:

5 0
3 years ago
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