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Art [367]
3 years ago
10

F(x)=x^2+12x+7 f(x)=(x+_)^2+_ Rewrite the function by completing the square

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

f(x) = (x + 6)² - 29

Step-by-step explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29

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Can someone please help me with this ASAP!!!!!
Veseljchak [2.6K]

Answer: is the second one

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4 0
3 years ago
Need help ASAP please!!! The formula determines the magnitude of an earthquake, where I is the intensity of the earthquake and S
snow_lady [41]

Answer:

100

Step-by-step explanation:

M = log(I/S)

The intensity of the first earthquake:

8 = log(I₁/S)

10⁸ = I₁/S

I₁ = 10⁸ S

The intensity of the second earthquake:

6 = log(I₂/S)

10⁶ = I₂/S

I₂ = 10⁶ S

The ratio is:

I₁/I₂ = (10⁸ S) / (10⁶ S)

I₁/I₂ = 100

It is 100 times stronger.

5 0
3 years ago
The Sanchez family uses 2 3/4 tubes of tooth paste each month. How many tubes of toothpaste does the Sanchez family use each yea
Licemer1 [7]
2.75 * 12 = 33.

If the Sanchez family is using 2 3/4 (or 2.75) tubes of toothpaste and there are 12 months in a year, we use the equation above and get 33 as our answer.
8 0
3 years ago
Read 2 more answers
An ice cream shop offers the toppings below. How many 4-topping ice cream sundaes can you make?
marishachu [46]
Combinations of 7 taken 4 at a time. 
C (7,4)  = 7!  /[  4!(3!)]
7 x 6 x 5 = 210 
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8 0
3 years ago
It takes Mara 15 minutes to walk to her friends house 1 2/3 miles away. What is her walking pace in miles per hour?
algol13
The answer is 6 2/3 per hour
6 0
3 years ago
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