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Olin [163]
2 years ago
10

What is the equation of the quadratic function that has x intercepts of -2 and 9?

Mathematics
1 answer:
gayaneshka [121]2 years ago
3 0

Answer:

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

Step-by-step explanation:

If the x-intercepts are -2 and 9, then the factors of this quadratic are (x + 2) and (x - 9).  Multiplying these two factors together, we get:

f(x) = (x - 9)(x + 2) = x^2 - 9x + 2x -18, or

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

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Which best describes the relationship between the successive terms in the sequence shown?
Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = \frac{2nd term}{first term} = \frac{-4.8}{2.4} = -2

Common ratio of 2nd and 3rd terms = \frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0

So, the given series has common ratio as -2.0

7 0
3 years ago
Read 2 more answers
Pring 2022
lutik1710 [3]

Answer:

<u>c = 10 - 11(0.65)</u>

Step-by-step explanation:

The equation is :

  • <u>c = 10 - 11(0.65)</u>

<u />

Change will be :

  • c = 10 - 7.15
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5 0
2 years ago
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10. 2x + 7y = 1<br> 2x - 4y = 12<br> Solve for y
adoni [48]

Answer:

The solution for y = -1.

Step-by-step explanation:

Given:

2x\ +\ 7y\ =\ 1    ....(1)

2x\ -\ 4y\ =\ 12  ....(2)

So, to solve for y, first we solve for x in equation (2):

2x-4y=12

⇒2x=12+4y

Dividing both sides by 2,

⇒x=6+2y            

Now, substituting the value of x  in equation (1):

2x+7y=1

⇒2(6+2y)+7y=1

⇒12+4y+7y=1

⇒12+11y=1

⇒11y=1-12

⇒11y=-11

Dividing both sides by 11,

⇒y=-1

Therefore, the solution for y = -1.

7 0
3 years ago
The number of boys in a school is 2000 less than the number of girls .Then find the number of girls in the school,if the total n
melamori03 [73]

Answer:

8000 girls

Step-by-step explanation:

3 0
3 years ago
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
ruslelena [56]
It would be 13... if I did my math right.
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2 years ago
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