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pentagon [3]
3 years ago
13

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Mathematics
1 answer:
elena55 [62]3 years ago
4 0

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

     = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

    = - 4x² + 24x - 36 + 16 ← collect like terms

    = - 4x² + 24x - 20

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What is the range of f(x)?<br> {xl-2 {x|-2 {yl-5 {yl-5 sy&lt;-1}
Bas_tet [7]

Answer:

-5≤y≤-1

Step-by-step explanation:

The range is the values that y takes

The smallest value of y is -5 and the largest value of y is -1

-5≤y≤-1

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3 years ago
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96 ft

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Is the ordered pair (4, -3) a solution to the equation 2x - 5 = -y?
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Read 2 more answers
Someone please help me on number 3 and if the others are wrong please let me know ITS MULTI STEP EQUATION COMBINING LIKE TERMS
weeeeeb [17]

Answer:

#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)

Step-by-step explanation:

for the first equation everything was right until 22x = 66

after

22x = 66

you must divide everything by 22

x = 3

that is for #1

for the second equation you copied down the question wrong

the negative is still there

6c - 8 - 2c = -6

combine 6c and -2c

4c - 8 = -6

the negative remains on the 8

add 8 to both sides

4c = 2

divide 4 to both sides

c = 2/4 or just 1/2

for the third equation you must first combine like terms

-3x + 25 + x + 21 = 2

combine -3x and x & 25 and 21

-3x + x = -2x

25 + 21 = 46

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then subtract 46 from both sides

-2x = -44

now divide both sides by -2

x = 22

that is your answer

number four should be correct

3 0
2 years ago
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