MATHEMATICS COLLEGE

Don completes the square for the function y = x2 + 6x + 3. Which of the following functions reveals the vertex of the parabola?A. y = (x + 3)2 – 3
B. y = (x + 3)2 – 6
C. y = (x + 2)2 – 6
D. y = (x + 2)2 – 3

Answers

Answer 1
Answer:

The function that reveals the vertex of the parabola:is y = (x + 3)² - 6.

What is the general equation of a parabola?

The general equation of a parabola is: y = a(x-h)² + k, where (h, k) indicates the vertex.

The given function is

y = x² + 6x + 3

⇒ y = (x² + 2 × x × 3 + 3²) - 6

⇒ y = (x + 3)² - 6

Therefore, the function y =  (x + 3)² - 6 indicates the vertex of the parabola.

Learn more about parabola here:

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Answer 2
Answer:

Answer:

B

Step-by-step explanation:

For the school work online

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On Dec. 31 the checkbook balance of Aster Co was $1,241.05. The bank statement was $1,510. Checks outstanding were $3,052.03. The statement revealed a deposit in transit of $2,800.10 as well as a bank service charge of $12.03. The company earned interest income of $29.05. The reconciled balance is:

Find the product of 3,356 and 7

Answers

Final answer:

The product of 3,356 and 7 is 23,492.


Explanation:

To find the product of 3,356 and 7, you can multiply the two numbers together. So, 3,356 multiplied by 7 equals 23,492.


Learn more about Multiplication here:

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An inscribed angle is an angle formed by two radii that share an endpoint A) True
B)False

Answers

check the picture below.

notice, as from the left, we grab those two angles and slap them together on the right, they form a wide angle A, and a smaller inscribed angle B.

now, the blue and red segments that came together, are both making up the inscribed angle B, and also sharing the side or endpoint, in the middle of angle A.

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.y = (ln x2)2

Answers

Answer:

(dy)/(dx)=(8lnx)/(x)

Step-by-step explanation:

We are given that a function  

y=(lnx^2)^2

We have to find the derivative of the function  

Differentiate w.r.t x

(dy)/(dx)=2(lnx^2)* (1)/(x^2)* 2x

By using formula

(d(lnx))/(dx)=(1)/(x)

(dx^n)/(dx)=nx^(n-1)

(dy)/(dx)=(4lnx^2)/(x)=(4(2)lnx)/(x)

by usinglnx^y=ylnx

Hence, the derivative of function

(dy)/(dx)==(8lnx)/(x)

Answer: The required derivative is (dy)/(dx)=\nfrac{4}{x\ln x^2}

Step-by-step explanation:

Since we have given that

y=(\ln x^2)^2

We need to derivative it w.r.t 'x'., using "Chain rule"

As we know that

(d)/(dx) \ln x=(1)/(x)\n\nand\n\n(d)/(dx)x^n=nx^(n-1)

So, it becomes,

(dy)/(dx)=(1)/(\ln (x^2)^2)* 2\ln(x^2)* (1)/(x^2)* 2x\n\n(dy)/(dx)=(4)/(x\ln x^2)

Hence, the required derivative is (dy)/(dx)=\nfrac{4}{x\ln x^2}

A newspaper carrier has ​$7.10 in change. He has nine more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he​ have?

Answers

Let q represent the number of quarters he has. Then q-9 is the number of dimes, and 3q is the number of nickels. His total change is ...

0.25q + 0.10(q-9) + 0.05(3q) = 7.10

0.50q - 0.90 = 7.10

q = (7.10 +0.90)/0.50 = 16

The carrier has 16 quarters, 7 dimes, and 48 nickels.

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p
р
Write an equation to represent the image.

Answers

Answer: 3p=1/2

Just do it right now

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Answers

Answer:

Step-by-step explanation:

168000*28%=47,040
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