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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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Mark achin sells 3,600 electric motors each year. the cost of these is $200 each, and demand is constant throughout the year. th
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Summary of information:
total output = 3600 units per year
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quantity split into 18 orders, so 3600/18= 200 units per order.
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Total ordering cost = (A) + (B) = $720+$1000 = $1720


4 0
3 years ago
100 POINTS Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations
OLEGan [10]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
Find sin(b) in the triangle.<br> A.4/3<br> B.3/5<br> C.3/4<br> D.4/5
DerKrebs [107]

The value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

<h3>What are the trigonometric ratios?</h3>

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

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Therefore, the value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

Learn more about trigonometric ratios here:

brainly.com/question/1201366

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7 0
2 years ago
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