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saw5 [17]
3 years ago
10

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

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

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

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

y=-(x+3)(x-7) but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is y=a(x-h)^2+k.

This is called vertex form because it gives you the vertex is (h,k).

We are given that (h,k)=(2,25) which makes our equation:

y=a(x-2)^2+25.

We can find the value of a by plugging in the x-intercept (7,0) for (x,y) into:

y=a(x-2)^2+25

0=a(7-2)^2+25

0=a(5)^2+25

Subtract 25 on both sides:

-25=a(5)^2

-25=a(25)

Divide both sides by 25:

\frac{-25}{25}=a

-1=a.

So the equation for the quadratic is:

y=-1(x-2)^2+25

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

y=-1(x-2)(x-2)+25

y=-1(x^2-2x-2x+4)+25

y=-1(x^2-4x+4)+25

y=-x^2+4x-4+25

y=-x^2+4x+21

Factor out -1:

y=-(x^2-4x-21)

WE need to find two numbers that multiply to be -21 and add to be -4:

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

vladimir2022 [97]3 years ago
8 0

Answer:

On edu answer is D. f(x)=(x+3)(x-7)

Step-by-step explanation:

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Answer: i think its a function

Step-by-step explanation:

3 0
3 years ago
The difference between the square of two numbers is five. Twice the square of the second number is subtracted from three times t
svet-max [94.6K]
Let us assume the first number to be = x
Let us assume the second number to be = y
Then
x^2 - y^2 = 5
x^2 = y^2 + 5
And
3x^2 - 2y^2 = 19
Multiplying the first equation by -2, we get
- 2x^2 + 2y^2 = - 10
Now subtracting the two equations, we get
x^2 = 9
x = 3
Putting the value of "x" in the first equation, we get
(3)^2 - y^2 = 5
9 - y^2 = 5
y^2 = 4
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I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
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HELP ASAP with this question.
Lubov Fominskaja [6]
D. -12
Lol I think I've explained this enough times now so you know the process

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Read 2 more answers
The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

x+y=21

Subtract x from both sides

y=21-x

height of 4 fir trees = pine tree +24

4x=y+24

Substitute 21-x or y in the above equation

4x=21-x+24

Add x on both sides

5x=45

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

y=21-x

y=21-9

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

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3 years ago
1/15 stores sell shoes there are 180 stores how mahy stores sell shoes
elena55 [62]
180/15 = 12
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