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Nadusha1986 [10]
3 years ago
11

To solve x2−8x=10 by completing the square, what should be added to both sides?

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

16 will be added.

Step-by-step explanation:

Given equation is,

x² - 8x = 10

To convert this equation into a square form we will follow the following steps,

Step (1). x² - 2(4x) = 10

Step (2). x² -2(x)(4) + 16 = 10 + 16

Step (3). x² - 2(4)(x) + 4² = 26

Step (4). (x - 4)² = 26

In step (2) we have added 16 to both the sides of the equation to make is a perfect square.

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7 Regular bananas cost $0.20 each at the supermarket.
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What are the vertex and x-intercepts of the graph of y = (x + 4)(x + 2)? Select one answer for the vertex and one for the x-inte
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Answer: Vertex (-3, 1) and x-intercept (-4, 0), (-2, 0)
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3 years ago
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NEED HELP ON LAST ONE 30 points Mrs. Jones teaches an 8th grade math class in Texas. She wants to find out if 8th graders in Tex
DENIUS [597]

Population = all Texas 8th graders
Sample = Mrs. Jones's thirty 8th graders
Sampling method = convenience sampling

Yes, there was a sampling bias. Since the complete sample was from the same school and class, it does not represent the total population of Texas 8th graders very well.


Hoped this helped :D

6 0
4 years ago
An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. The graph of this model would be:
victus00 [196]

The graph of this model would be a straight line that increases only option third is correct.

<h3>What is a line graph?</h3>

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

An auto mechanic charges (C) an initial fee of $50 and then $40 per hour.

Let T be the total fee and h is the number of hours

T = 50 + 40h

The above equation represents a graph of a straight line as the slope of the line is positive.

m = 50

Thus, the graph of this model would be a straight line that increases only option third is correct.

Learn more about the line graph here:

brainly.com/question/23680294

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7 0
2 years ago
A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cos
oksian1 [2.3K]

If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

27000 + 22\cdot 1100 = 27000 + 24200 = 51200

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element x_0, every next element is given by adding a fixed number, called common difference, r. So, the first terms are

  • a_0 = x_0
  • a_1 = x_0 + r
  • a_2 = x_1 + r = (x_0+r) + r = x_0 + 2r
  • a_3 = x_2 + r = (x_0+2r) + r = x_0 + 3r
  • a_4 = x_3 + r = (x_0+3r) + r = x_0 + 4r

So, you can see that the element x_n is obtained by adding n times the common ratio to the starting element.

Since the element a_n represents the cost after n years, we are interested in the element

a_{22} = x_0 + 22r = 27000 + 22\cdot 1100 = 512000

As we had already calculated.

7 0
3 years ago
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