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Elodia [21]
2 years ago
13

Given ​f(x)=x^2+12x+26​.

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0

Answer:

f(x) =  (x+6)² - 10

Step-by-step explanation:

To write the equation in vertex form we, we need to use completing square method.

f(x) = x²+ 12x + 26 = (x² + 2*x*6 + 6²) - 6² + 26 = (x+6)² -36 + 26 =

= (x+6)² - 10

f(x) =  (x+6)² - 10

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24 pennies 62 nickels 55 dimes 16 quarters and 19 fifty cent pieces how much money do i have
777dan777 [17]
24 = 24 cents. 62 nickels= multiply that by 5. 55 dimes= multiply that by 10. 16 quarters= multiply that by 25. 19 x 50 add together all solutions.
8 0
3 years ago
A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. Each night
viktelen [127]

Answer:

$665.36

Step-by-step explanation:

2^16 or...

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 66536 pennies

3 0
3 years ago
Here is a diagram and its corresponding equation. Find the solution to the equation.
Katen [24]
4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
(4 times x and 4 times 7)

You would then solve it like a two step equation,

1. +28 - 28 = 0
2. 38 - 28 = 10

4x = 10

10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

4(2.5 + 7) = 38

10 + 28 = 38

When we substituted in the value, it gave us the correct inequality.

Therefore,
x = 2.5
5 0
2 years ago
Read 2 more answers
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

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

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
I need help with my math homework
adoni [48]

Answer:

96.52 centimeters

Step-by-step explanation:

1 inch is equal to 2.54 centimeters

38 inches = 38*2.54 cm

38 * 2.54 = 96.52

The answer is 96.52 centimeters

Hope this helps :)

Have a great day

8 0
2 years ago
Read 2 more answers
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