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Varvara68 [4.7K]
3 years ago
6

From the set {-252, -64, 64}, use substitution to determine which value of x makes the equation true.

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

I find it easier to solve the equation, which requires 1 operation. Substituting 3 numbers requires 3 operations, so is 3 times the work. (I'm basically lazy.)

  4x = 256 . . . . given

  x = 256/4 = 64 . . . . the last of the listed values

__

Alternatively, you can let a graphing calculator or spreadsheet try the list of values for you. That result is attached.

_____

Since you know the rules of signed multiplication, you know that x must be positive. Only one answer choice is positive, so you really only need to try one number.

  4(64) = 256 . . . . true, so x = 64

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
An online retailer collects 7% sales tax. If the sub total of the purchase is $76.00, then how much is collected for sales tax?​
jok3333 [9.3K]

The collected tax on purchase of $76.00 is $5.32

Further explanation:

The sales tax is calculated on the total sales by the formula

Tax = total * \frac{7}{100}

Given

Total purchase = $76.00

Percentage of tax = 7%

So,

Putting the values in the formula

Tax\ amount = 76.00 * \frac{7}{100}\\= 5.32

So, the collected tax on purchase of $76.00 is $5.32

Keywords: Tax, tax calculation

Learn more about tax calculation at:

  • brainly.com/question/2678748
  • brainly.com/question/2686310

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3 0
3 years ago
A set S of strings of characters is defined recursively by 1. a and b belong to S. 2. If x belongs to S, so does xb. Which of th
alukav5142 [94]

Answer:

a) a

b) ab

e) bbbbb

Step-by-step explanation:

We are given the following in the question:

a, b \in S

x \in S \Rightarrow xb \in S

a) a

It is given that a \in S

b) ab

\text{If }a \in S\\\Rightarrow ab \in S

Thus, ab belongs to S.

c) aba

This does not belong to S because we cannot find x for which xb belongs to S.

d) aaab

This does not belong to S because we cannot find x for which xb belongs to S.

e) bbbbb

\text{If }b \in S\Rightarrow bb \in S\\\text{If }bb \in S\Rightarrow bbb \in S\\\text{If }bbb \in S\Rightarrow bbbb \in S\\\text{If }bbbb \in S\Rightarrow bbbbb \in S

Thus, bbbbb belongs to S.

8 0
3 years ago
Write the word sentence as an equation. Then solve the equation.
telo118 [61]
15x=-75
The answer is would be -5 because -75/15 equals -5
6 0
3 years ago
Read 2 more answers
Identify the coordinates of the vertex of f(x) = 3x2 + 12x − 8, and identify whether it is an absolute minimum or absolute maxim
DaniilM [7]

The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum

<h3>How to determine the vertex?</h3>

The equation is given as:

f(x) = 3x^2 + 12x − 8

Differentiate the function

f'(x) = 6x + 12

Set to 0

6x + 12 = 0


Divide through by 6

x + 2 = 0

Solve for x

x = -2

Substitute x = -2 in f(x) = 3x^2 + 12x − 8

f(2) = 3 *2^2 + 12 *2 − 8

Evaluate

f(2) = 28

This means that the vertex is (2,28)

A quadratic function is represented as:

f(x) =ax^2 + bx + c

When a is positive, then the vertex of the function is an absolute minimum.

This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive


Read more about quadratic functions at:

brainly.com/question/18797214

#SPJ1

7 0
2 years ago
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