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Greeley [361]
3 years ago
14

Rewrite the function by completing the square. f(x)=x^{2}+8x+4

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

\implies f(x) = ( x + 2)^2

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • f(x) = x² + 8x + 4 .

And we need to rewrite the function by completing the square. The function is ,

\implies f(x) = x^2+8x + 4

  • We can rewrite the function in the form of ,

\implies ( a + b)^2= a^2+b^2+2ab

<u>Rewriting</u><u> the</u><u> </u><u>function</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2

  • This is similar to the whole square form stated above . So ,

\implies f(x) = ( x + 2)^2

<u>Hence </u><u>the </u><u>function</u><u> </u><u>in </u><u>whole</u><u> square</u><u> </u><u>form </u><u>is </u><u>(</u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u>²</u><u> </u><u>.</u>

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3 years ago
It’s costs $79 to buy 5 tickets to a show.what is the cost of one ticket?
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6 0
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8 0
2 years ago
A standard sheet of printer paper measures 8.5 inches by 11 inches. what is the length of the diagonal of a standard sheet of pr
Lynna [10]

Answer:

The length of the diagonal is 13.9 inches.

Step-by-step explanation:

The standard sheet of paper is in the form of a rectangle which has a length of 8.5 inches and breath of 11 inches.

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d=\sqrt {l^2+b^2}

So, Applying in the above equation,

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6 0
3 years ago
Solve for s.<br><br><br> 12s=72<br><br><br><br> 17<br> 27<br> 3<br> 7
Lubov Fominskaja [6]

Answer:

s = 6

Step-by-step explanation:

In order to determine the value of s divide the coefficient on both sides.

In simpler terms, a coefficient is a number attached to the variable, which in this case must be divided to remove the coefficient and determine s.

72/12 = 6

Answer: s = 6


8 0
3 years ago
Read 2 more answers
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