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Oduvanchick [21]
3 years ago
6

Which expression represents the factored form of 6x^{2} -13x-5?

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

second

Step-by-step explanation:

(2x-5)(3x+1) = 6x² +2x -15x -5 = 6x² -13x - 5

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A parabola passes through the points (-2,8), (0,2), and (1,5). What function does the graph represent?
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ANSWER

y = 2 {x}^{2}  + x + 2

EXPLANATION

Let the function that represent the graph be:

y = a {x}^{2}  + bx + c

The parabola passes through the points (-2,8), (0,2), and (1,5).

These points must satisfy the function.

For (-2,8), we have

8= a{( - 2)}^{2}  + b( - 2) + c

This implies that that,

4a - 2b + c = 8...(1)

For (0,2), we have,

2= a{( 0)}^{2}  + b( 0) + c

This implies that,

c = 2

For (1,5), we have

5= a{( 1)}^{2}  + b( 1) + c

This implies that,

a + b + c = 5...(2)

Put c=2 into equation (1) and (2).

4a - 2b + 2 = 8

4a - 2b  = 8 - 2

4a - 2b = 6

2a - b = 3...(3)

a + b + 2=5

a + b =5 - 2

a + b = 3...(4)

Add equation (3) and equation (4)

3a = 6

a = 2

Put a=2 into equation (4).

2 + b = 3

b = 3 - 2 = 1

Therefore the function is

y = 2 {x}^{2}  + x + 2

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Answer:

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Option C is the correct answer.

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<h3>What is Line Graph?</h3>

A line graph is a type of chart used to show information that changes over time. We plot line graphs using several points connected by straight lines.

Here, Line graph shows the vertical axis represents the number of mobile phones.

Similarly, other condition also fulfill the situation.

Only option C doesn't follow the given condition.

Thus, Option C is the correct answer.

"The categories along the horizontal axis are missing one of the months."

Learn more about Line graph from:

brainly.com/question/11967677

#SPJ1

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Step-by-step explanation:

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At the end of an experiment, a rat weighed 3.1 times its original weight. If the rat originally weighed 5.8 ounces, about how mu
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