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PSYCHO15rus [73]
3 years ago
7

Which of the following functions best describes this graph?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer: A. y=x²-9x+20

Step-by-step explanation:

As we can see from the graph there are two x-intercepts: (4,0) (5,0)

The easiest way we can do, is we plug these two values into each of the choices.

A. y=x²-9x+20

(4, 0) YES

(5,0) YES

B. y=x²-8x+18

(4, 0) NO

(5, 0) NO

C. y=x²+9x+20

(4, 0) NO

(5, 0) NO

D. y=x²+x-12

(4, 0) NO

(5, 0) NO

Therefore, the answer should be y=x²-9x+20

Hope this helps!! :)

Please let me know if you have any questions

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To solve the equation 2−5(3+4x)=2x+7, Miranda's first step was to write 2−15−20x=2x+7. Which property did Miranda use in her fir
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Answer:

Step-by-step explanation:

distributive

3 0
3 years ago
Javier drove 45 miles, this represents 60% of his entire trip. What is the total number of miles in his trip
faust18 [17]
Ratio and proportion

45mi/60%=x miles/100%
cross multiply
60x=4500
   x=75 miles

hope this helps
5 0
3 years ago
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What is the length of the third side of the window frame ??
drek231 [11]
A^2+b^2=c^2
A=63
B=?
C=87
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3969+b^2=7569
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Sole in quadratic equation<br> 2x² + 3x + 8=0
olga_2 [115]
That the answer for it
3 0
3 years ago
I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
3 years ago
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