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Elina [12.6K]
3 years ago
14

Solve the equation. 8b – 7 = 7b – 2

Mathematics
1 answer:
lidiya [134]3 years ago
8 0
                                                       <u> 8b - 7 = 7b - 2</u>

Subtract  7b  from each side:      b - 7  =  -2

Add  7  to each side:                    <em> b        =  5</em>
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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?
Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c

Add and subtract the half of the square the coefficient of x,

\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c

Then we have

\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

3 0
2 years ago
98÷5194<br>please help me out
Naya [18.7K]
When you divide 98 by 5194, you get 0.01886 to be almost exact
6 0
3 years ago
Read 2 more answers
You run 4and3/4 miles through a park each day if you ran that distance five times last week how many miles did you run
zzz [600]
23.75 miles, because you would take 4 and 3/4 (4.75) and multiply by 5 :)
7 0
3 years ago
Find the sum of 4x^{2} -4+6 and -7^{2} +3x+1
denpristay [2]

Answer: 4x² + 3x + 52

Step-by-step explanation:

1. rearrange & simplify terms:

(4x² - 4 + 6) + (3x - 7² + 1) . . .

(4x² + 2) + (3x + 49 + 1) . . .  

 (4x²+2) + (3x + 50).

2. combine like terms in standard form:

<u>4x² + 3x + 52</u>

4 0
4 years ago
PLZ help thnx
Pepsi [2]

Answer:

A) $40

B) 40M = P

C)  $3,120

Step-by-step explanation:

Given that at her salon, last week Tammy did 25 manicures and collected $ 1000, to calculate the slope to represent the manicures, write an equation to represent this relation and determine how much would Tammy make if she did 78 manicures in a month the following calculations should be performed:

A)

1000/25 = X

40 = X

Thus, each manicure costs $ 40.

B)

40M = P

C)

78 x 40 = X

3.120 = X

So if she did 78 manicures in a month, Tammy would earn $ 3,120.

8 0
3 years ago
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