3 years ago

I need help with this please ):

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

6 0

Answer:

the answer is in the file

Step-by-step explanation:

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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:

<u>Vertex form</u>

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

(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

$\implies 3(x-1)^2-108=0$

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

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

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

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

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

7 0

2 years ago

An elevator at a department store must carry fewer than 17 people at a time. An elevator operator is present in the elevator at

natulia [17]

I'd say it's x + 1 < 17.
Because the operator should be included as a person as well.

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3 years ago

Read 2 more answers

Equavlent to (-18x-12)-13x+17

Setler79 [48]

-31x+5 is the same as (-18x-12)-13x+17

3 0

4 years ago

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The formula for the perimeter, P, of a rectangle is P = 2L + 2w, where L is the length and W is th width sovle the formula for t

vichka [17]

P = 2L + 2w

Subtract 2L
from each side: P - 2L = 2w

Divide each side
by 2 : (P - 2L) / 2 = w

You could also write it as (P/2 - L) = w
Both answers are the same.

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3 years ago

Maria is mailing packages. each small package costs her $2.20 to send. each large package costs her $2.90. how much will it cost

dlinn [17]

Multiply 2.90 by 6 and multiply 2.90 by 4 then add them and you get your answer

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3 years ago