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ss7ja [257]
3 years ago
12

What is the vertex of Y equals X to the second power -4x-5​

Mathematics
1 answer:
Fed [463]3 years ago
5 0

Answer:

vertex = (2, - 9 )

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

x² - 4x - 5 ← is in standard form

with a = 1, b = - 4, thus

x_{vertex} = - \frac{-4}{2} = 2

Substitute this value into the quadratic for corresponding value of y

(2)² - 4(2) - 5 = 4 - 8 - 5 = - 9

vertex = (2, - 9 )

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
kondaur [170]

Answer: A. profit of $4500

<u>Step-by-step explanation:</u>

    r(x) = x² + 6x + 10

  - <u>c(x) = x² - 4x + 5</u>

(r - c)(x) =     10x + 5


(r - c)(4) = 10(4) + 5

           =  40 + 5

           = 45

(r - c)(x) represents the profit (in hundreds of dollars) in x months

(r - c)(4) represents the profit (in hundreds of dollars) in 4 months

So, the new store will have a profit of $4500 in 4 months

3 0
3 years ago
Question 11
Leno4ka [110]

E
If the pre-image is dilated, the image must be congruent to the pre-image.
4 0
3 years ago
Esteban bought a new stove for $986 on his credit card. He used the stove for eleven years before replacing it. The stove cost h
vivado [14]

Answer:

b) $2,166

Step-by-step explanation:

4 0
3 years ago
How many times does 5.50 go into 60.50?
KatRina [158]
5.50 goes into 60.50 13.50 times
7 0
3 years ago
Read 2 more answers
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