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soldier1979 [14.2K]
2 years ago
6

Y-5=0.5x^2+6x-3 how many x-intercepts does the graph of this quadratic have ?

Mathematics
1 answer:
Ulleksa [173]2 years ago
3 0

we have that

Y - 5 = 0.5x2 + 6x - 3--------------- > y=0.5x2 + 6x -3+5=0.5x2 + 6x+2

y=0.5x2 + 6x +2

using a graphic tool

see the attached figure

the graph have two x-intercepts----------> (-11.657,0) and (0.343,0)

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Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is
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Let the lowest score be x.

<u>The 3 consecutive even scores are:</u>

1st score = x

2nd score = x + 2

3rd score = x + 4

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<u>Sum of their score is 270:</u>

x + (x + 2) + (x + 4) = 270

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<u>Solve x:</u>

x + (x + 2) + (x + 4) = 270

x + x + 2 + x + 4 = 270

3x + 6 = 270

3x = 264

x = 88

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<u>Find their scores:</u>

1st score = x = 88

2nd score = x + 2 = 88 + 2 = 90

3rd score = x + 4 = 88 + 4 = 92

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Answer: The scores are 88, 90 and 92

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The triangle has side lengths l,m, and n. Find the length of each side and the perimeter of the triangle. (PLEASE SHOW WORK)
erastovalidia [21]

The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively

<h3>The perimeter of a triangle</h3>

The triangle is a 2 dimensional shape that has 2 sides.

Given the following sides

l = m + n - 12

n = m - 7

m = l - 1/4n

l = m + 1/4n

Substitute

m + 1/4n = m + m - 7 - 12

m + 1/4(m-7) = 2m - 19

m + 1/4m - 7/4 = 2m - 19

-m + 1/4m = -19 + 7/4

-3/4m = -19(4)+7/4

-3/4m = -69/4

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m = 23

Hence the value of m from the given expression is 23

n = 23 - 7

n = 16

l = 23 + 16 -12

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Hence the measure of the sides is 27, 23 and 16 respectively

Perimeter = 27+23+16

Perimeter = 56

Learn more on perimeter of triangle here: brainly.com/question/24382052

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