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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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What means the same as 6 × 5? 65 5 5 5 5 5 6 6 6 6 6.
Gennadij [26K]

Multiplication is helps to add a number multiple times. The meaning of  6 x 5 is 6 + 6 + 6 + 6 + 6.

<h3>What is multiplication?</h3>

Multiplication tells us the number of times a number is been added to itself. For example, 3 x 2 = 3 + 3 = 2 + 2 + 2

Given to us

5 x 6

As we have already discussed that multiplication is the number of times a number is been added to itself. therefore,

5 x 6 = 5 + 5 + 5 + 5 + 5 + 5 = 6 + 6 + 6 + 6 + 6

Hence, the meaning of  6 x 5 is 6 + 6 + 6 + 6 + 6.

Learn more about Multiplication:

brainly.com/question/19943359

5 0
2 years ago
A total of 505 tickets were sold for a school play they were either adult tickets or student tickets they were 55 more student t
arsen [322]

Hello There!

<u><em>The number of adult tickets sold in the school play = 225</em></u>

<u><em></em></u>

<u><em>Total Number Of Tickets = 505</em></u>

<u><em>Number Of Student Tickets = x + 55</em></u>

<u><em></em></u>

Number of adult tickets sold can be represented by X

Number of student tickets = X + 55

X+X+55=505

2x+55=505

2x=505-55

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X=225

7 0
3 years ago
Read 2 more answers
Can someone help me pleaseee?
ratelena [41]

Answer:

1. -9

2. -17

3. -4

4. -11

5. -17

6. -2

7. -20

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9. 22

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Have a good day! And do you mind marking me brainliest? much appreciated :)

6 0
3 years ago
What does A equal?<br><br>•1<br>•4<br>•58​
IRINA_888 [86]

Answer:

a=4

Step-by-step explanation:

if a+5=2a+1

then 5-1 = 2a-a

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3 years ago
two years of local internet service cost $6855, including the installation fee of $85. What is the monthly fee?
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First subtract the installation price:
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Your monthly fee is $282.08
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3 years ago
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