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kondor19780726 [428]
3 years ago
6

What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:  f(x) = (x + 3)(x – 7)

Step-by-step explanation:  Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)

f(x) = a(x-h)² + k   from vertex, h is 2   y is -25   from intercept,  x is 7  f(x) is 0

to find a,  0 = a(7-2)² +(-25)   0 = a(7-2)² -25  add 25 to both sides

25 = a(5)²  25 = 25a  25/25 = a  1=a  (seems useless but verifies implied "a"coefficient is 1)

f(x) = a(x-h)² + k solve to get the quadratic form

f(x) = (x-2)² -25     (x - 2)² is x² -4x +4

f(x) = x² -4x +4 -25  simplify

f(x) = x² -4x - 21   then factor

f(x) = (x + 3)(x - 7)

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Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

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If we look this up in the standard normal distribution table,

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3 years ago
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prohojiy [21]

Answer:

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Step-by-step explanation:

From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.

Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram

A = ? ( The angle of elevation of Aisha towards the balloon)

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From Sine rule

It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.

This is expressed mathematically as;

Sin A/ a= SinB/ b= SinC/c

We take the pairs of relevance;

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There SinA = SinC/c × a

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= 0.9053

A = Sin^(-1)[0.9053]

A = 64.87° = 65°{ to the nearest degree}

6 0
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Answer:

Step-by-step explanation:

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