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VashaNatasha [74]
3 years ago
15

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

Mathematics
2 answers:
vivado [14]3 years ago
8 0

Answer: The correct option is A.

Explanation:

The given function is,

f(x)=x^2+8-16x

Rewrite the above function.

f(x)=(x^2-16x)+8

To make the perfect square we add and subtract the square of \frac{b}{2a}, where b is coefficient of x and a is the coefficient of x^2.

Since a=1 and b = -16, So we will add and subtract he square of -8.

f(x)=(x^2-16x+(-8)^2)+8-(-8)^2

f(x)=(x^2-16x+(8)^2)+8-64

Using (a-b)^2=a^2-2ab+b^2

f(x)=(x-8)^2)-56

Therefore, the correct option is A.

irga5000 [103]3 years ago
5 0
<span>The answer would be (f(x) = (x – 8)2 – 56)</span>
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Answer:

11:10

Step-by-step explanation:

Let area of yellow square be x

Area of green square=x+0.21*x=1.21*x

Ration of side=(1.21x)^(1/2)/(x)^(1/2)=1.1=11/10.

Answered by Gauthmath

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Find the value of x. 10_3 
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Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.
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Solve the equations
ASHA 777 [7]

Answer:

(1)The value of x is -9 .

Option (B) is correct .

(2)The value of x is 13 .

Option (A) is correct .

(3)The value of the x is 11 .

Option (D) is correct .

(4) The value of the x is -15 .

Option (A) is correct .

(5)The value of the x is -11 .

Option (C) is correct .

Step-by-step explanation:

First Part

As given

4x = -36

x = \frac{-36}{4}

x = -9

Therefore the value of x is -9 .

Option (B) is correct .

Second Part

As given

5x - 15 = 50

5x = 50 + 15gg

5x = 65

x = \frac{65}{5}

x = 13

Therefore the value of x is 13 .

Option (A) is correct .

As given

4(x+2)-17=35

4x + 8 - 17 = 35

4x = 35 + 17 - 8

4x = 44

x = \frac{44}{4}

x = 11

Therefore the value of the x is 11 .

Option (D) is correct .

Fourth Part

As given

6x+12=4x-18

6x-4x = -12-18

2x = -30

x = \frac{-30}{2}

x = -15

Therefore the value of the x is -15 .

Option (A) is correct .

Fifth Part

As given

\frac{1}{2}(4x-10)+5=x-11

Simplify the above

4x-10+5×2 = 2x-22

4x-10+10= 2x-22

4x-2x = -22

2x=-22

x = \frac{-22}{2}

x = -11

Therefore the value of the x is -11 .

Option (C) is correct .

5 0
3 years ago
Read 2 more answers
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