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3 years ago

Please help 30 point question

Mathematics

1 answer:

Vika [28.1K]3 years ago

4 0

Answer:

the things wont load whats the question?

Step-by-step explanation:

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Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)

lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

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

we have

the vertex is the point (5,-4)

substitute

$(y+4)=a(x-5)^{2}$

The y-intercept is the point (0,96)

substitute and solve for a

$(96+4)=a(0-5)^{2}$

$100=a(25)$

$a=100/25=4$

The equation of the vertical parabola is equal to

$(y+4)=4(x-5)^{2}$

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$4=4(x-5)^{2}$

Simplify

$1=(x-5)^{2}$

Rewrite

$(x-5)^{2}=1$

square root both sides

$(x-5)=(+/-)1$

$x=(+/-)1+5$

$x=(+)1+5=6$

$x=(-)1+5=4$

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

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3 years ago

Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?

Sever21 [200]

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

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3 years ago

Norfolk va has a population of 242,628 people. Baltimore, Md has 376,865 more people than Norfolk. Charleston,SC has 496,804 les

Darina [25.2K]

You solve the problem and the answer is 982,810 :)

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3 years ago

Write an equation in slope-intercept form for the line with slope 8 and y-intercept -9

horsena [70]

Y=8x-9

Hopefully that looks right

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3 years ago

Explain how a bucket of water would be an open system? Enter your answer in the space provided.

Sonbull [250]

A leaky bucket is an “open system.” A tank with a secure lid, with no leaks, is a “closed system.” If you know how much water you put in a closed system, and how much water you take out, then you know how much water is in the tank at any given time.

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3 years ago