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Gnoma [55]
3 years ago
10

Given the function f(x) = -2x2 + 4x - 7, find f(-4). -55 -7 25

Mathematics
2 answers:
Neko [114]3 years ago
7 0

Answer:

f(-4)= -55

Step-by-step explanation:

We want to find f(x), or y, when x is equal to -4.

Therefore, we can substitute -4 in for x in the function.

f(x) = -2x^2 + 4x - 7

Substitute -4 in for x

f(-4) = -2(-4^2) + 4(-4) - 7

Evaluate the exponent

f(-4)=-2(16)+4(-4)-7

Multiply -2 and 16

f(-4)= -32+4(-4)-7

Multiply 4 and -4

f(-4)=-32-16-7

Subtract

f(-4)=-55

DaniilM [7]3 years ago
6 0
-2(-4)2+4(-4)-7
16-16-7
-7. -7 is correct
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What is the domain of f?
larisa86 [58]

Answer:

\huge \boxed{\mathrm{A}}

Step-by-step explanation:

The domain of a function is all possible values for the value of x.

The denominator in a rational function cannot equal to 0.

x+2\neq 0

Subtracting 2 from both sides.

x\neq -2

The domain of the function is all real numbers except -2.

7 0
3 years ago
If p represents the original price, which of the following expressions could be used to calculate the sale price of a shirt that
dezoksy [38]

Answer:

C & D

Step-by-step explanation:

You can do these two ways. You can multiply the cost of the the shirt by 15% (.15 as a decimal.) and then subtract that answer from the original price of the shirt to get the sales price of the shirt.

You can also multiply the price of the shirt by 85% (.85 as a decimal) and that will give you the sales price without having to subtract. 15% + 85% = 100%, so 85% represents the sales price of the shirt.

Anyway, since you multiply, you can eliminate choice A & B.

Since the direction in the question says to select all that apply, I would check both C & D.

C is the equation of the first way I talked about- Price - 15% * price

C       p - 0.15p

D is the equation of the second way I talked about. Price times 85%

D            0.85p

7 0
3 years ago
A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft. Find the smallest angle.
OleMash [197]

Answer:

 Lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is   26.29°.

Explanation:

 A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft

 We  have smallest angle = Angle C

 We have, Cos C = AC/BC

                            = 2.6/2.9

                           = 0.897

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So lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is   26.29°.

8 0
3 years ago
Find the smallest possible interger value n for which 99n is a multiple of 24
motikmotik
I would guess that you would need to find the Least Common Multiple (LCM) of 99 and 24 first. 

After listing out all of the multiples, you would have 792 be the LCM of 99 and 24. But since we need to find the integer value of n, in 99n (which means 99 x n), then we need to divide 792 by 99, which would be 8.

n = 8 
3 0
3 years ago
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Alison bought 12 cases for a party. She gave the cashier $30 and was given $3.24 in change. How much did Alison pay for one case
Archy [21]

Answer:

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30 - 3.24 = 26.76

26.76 ÷ 12 = 2.23

6 0
3 years ago
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