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iogann1982 [59]
3 years ago
14

if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x

)=(x-a)squared +b what is the value of a for f(x)? A. 6 B. -6 C. 12 D. -12 ​
Mathematics
1 answer:
abruzzese [7]3 years ago
6 0

Answer:

A. 6

Step-by-step explanation:

f(x) = x² − 12x + 7

To complete the square, we first factor the leading coefficient to make it 1 (which it already is).

Then, we take half the second coefficient, square it, and then add to both sides.  So (-12/2)² = (-6)² = 36.

f(x) + 36 = x² − 12x + 36  + 7

Then we factor the perfect square:

f(x) + 36 = (x − 6)² + 7

Then solve for f(x) by subtracting and simplifying:

f(x) = (x − 6)² + 7 − 36

f(x) = (x − 6)² − 29

So the value of a is 6.

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Answer:

31.8%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

5720 = (1200)(R)(15)

5720 = 18,000R

R = 0.3177777, rounded to 31.8%

5 0
3 years ago
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Arturiano [62]

Answer:

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation y=-x^2+4x-8.

We can know that this graph will have a maximum value as this is a negative parabola.

In order to find the maximum value, we can use the equation x=\frac{-b}{2a}

In our given equation:

a=-1

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Now we can plug in these values to the equation

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This means that the maximum of this equation is -4.

The maximum of the graph is shown to be -3

This means that the maximum value of the equation is 1 less than the maximum value of the graph

6 0
3 years ago
What is 1000+52603+58964+5236809+968532-68972100 = ?
IRINA_888 [86]

Answer:

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Ronch [10]

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Step-by-step explanation:

/ =division

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andrew-mc [135]

Answer:

Step-by-step explanation:

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