What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?A.2 must be factored from 2x – 7

B.–4 must be factored from –4x2 + 2x

C.x must be factored from –4x2 + 2x

D.–4 must be factored from –4x2 – 7

Answers

Answer 1

Answer: complete the square

first, the coeieicne infront of x^2 term musbe 1
so if you have
y=ax^2+bx+c
isolate x terms and undistribute a
y=a(x^2+(b/a)x)+c

B is answer

Answer 2

Answer:

Step-by-step explanation:

Right on Edge

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If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.

Answers

Answer:

Step-by-step explanation:

The key to understanding these problems is having a firm idea about what the variables represent. The variable r, for example, has units of shoppers per minute. This means you will need to divide the number of shoppers by total minutes to calculate variable r.

Example:

“Little’s law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?”

Let’s match units to variables:

“…shoppers spend an average of 5 minutes…” This sounds like the description of variable T. We now know that T = 5 in our problem.

“…approximately 84 shoppers per hour…” is close to the units needed for r; however, r is in shoppers per minute, not hour. To fix this, we convert 84 shoppers / 60 minutes = 1.4. We know that r = 1.4.

We want to know, “…about how many shoppers, on average…,” which are the units for N.

This paragraph was a long-winded way of asking you to solve for N! The actual math involved in this problem looks like the following:

N = rt

N = (1.4)(5)

N = 7

What do you add to 2 5/7 to make 4?

What do you add to 4 2/9 to make 6?

Answers

Answer:

For each question, just subtract the bigger number from the smaller one :D

A plane is an undefined term because

Answers

A place is an undefined term because it is described generally, not using a formal definition.

Hope this helped :)

Answer:

is described generally, not using a formal definition

I TOOK THE TEST JUST NOW AND GOT IT RIGHT

Step-by-step explanation:

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer.
e^x=3.4

2^x+6=3

Answers

$e^x=3.4\n x=\ln 3.4\approx1.22\n\n 2^x+6=3\n 2^x=-3\n x\in\emptyset$

One endpoint of a line segment is at (6, 5). The line is bisected by placing the midpoint of the line segment at (1, 2). What are the coordinates of the other endpoint?

Answers

coordinates of the other end point should be 5,-6 Its the only possible one

Which is a solution to (x – 3)(x + 9) = –27?

x = –9
x = –3
x = 0
x = 6

Answers

If you would like to solve (x – 3)(x + 9) = –27, you can do this using the following steps:

(x – 3)(x + 9) = –27
x^2 + 9x - 3x - 27 = -27
x^2 + 6x - 27 + 27 = 0
x^2 + 6x = 0
x * (x + 6) = 0
1. x = 0
2. x = -6

The correct result would be x = 0.

By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)

How to find the roots of a given polynomic expression

In this question we must find a solution for a polynomicexpression. There are several approaches to find them. Since we have a polynomicexpression as a product of binomials, we can determine the solution by evaluating at each choice:

x = 0

(0 - 3) · (0 + 9) = -27

(-3) · 9 = -27

-27 = -27

By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)

To learn more on quadratic functions: brainly.com/question/5975436

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