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2 years ago

8

The axis of symmetry for a function in the form f(x) = x^2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the gra

ph?
(−9, −2)

(−17, −2)

(−2, −17)

(−2, −9)

2 answers:

drek231 [11]2 years ago

8 0

Hello,

If x=-2 f(-2)=(-2)²+4*(-2)-5= 4-8-5=-9

vertex is (-2,-9)

taurus [48]2 years ago

6 0

Answer:

(-2,-9) or d

Step-by-step explanation:

You can check on desmos plus I got it right on the test

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GREYUIT [131]

1.
12 liters of 26% acid solution contain $26\% \times 12=0.26 \times 12=3.12$ liters of acid.
x liters of 40% acid solution contain $40\%x=0.4x$ liters of acid.
The third solution is made from the two mixed solution so its volume is $12+x$ , and the volume of acid in it is $0.4x+3.12$ . Its concentration is 33% or 0.33.
The concentration of a solution is the volume of the solution divide by the volume of acid in it.

$\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\
0.07x=0.84 \\
x=12$

The answer is B.

2.
12 liters of 16% acid solution contain $16\% \times 12=0.16 \times 12=1.92$ liters of acid.
x liters of 40% acid solution contain $40\%x=0.4x$ liters of acid.
The volume of the third solution is $12+x$ , and the volume of acid in it is $0.4x+1.92$ . Its concentration is 32% or 0.32.

$\frac{0.4x+1.92}{12+x}=0.32 \\
0.4x+1.92=0.32(12+x) \\
0.4x+1.92=3.84+0.32x \\
0.08x=1.92 \\
x=24$

The answer is B.

3.
16 liters of 18% acidsolution contain $18\% \times 16=0.18 \times 16=2.88$ liters of acid.
x liters of 27% acid solution contain $27\%x=0.27x$ liters of acid.
The volume of the third solution is $16+x$ , and the volume of acid in it is $0.27x+2.88$ . Its concentration is 21% or 0.21.

$\frac{0.27x+2.88}{16+x}=0.21 \\
0.27x+2.88=0.21(16+x) \\
0.27x+2.88=3.36+0.21x \\
0.06x=0.48 \\
x=8$

The answer is A.

5 0

3 years ago

Find the following sum of the following expressions: 3x+5 and -4x-10

NeTakaya

Answer:

x + 5

Step-by-step explanation:

3x + 5 -4x - 10

Combine like terms.

-x -5

Divide by -1

x + 5

I hope that this helps! :)

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2 years ago

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2 years ago

How would I solve this? I do not get the problem.

Stolb23 [73]

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2 years ago

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tekilochka [14]

Answer:

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Step-by-step explanation:

We can solve this problem by multiplication expressions. See below.

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2 years ago