3 years ago

Write the equivalent decimal and fraction for each percent.

1 answer:

3 0

Percent: 15% = 0.15
Percent:120% = 1.2
Percent:36% = 0.36
Percent:22% = 0.22
Percent:54% = 0.54
Percent:205% = 2.05

3/25 = 12%
4.06 = 406%
0.01 = 1%
1/8 = 12.5%
2/5 = 40%
0.6% = 60%

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Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

Vertex form

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

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$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

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$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

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