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3 years ago

What is the factored form of x2 + 12x – 64?

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

The answer is

Step-by-step explanation:

x² + 12x - 64

To factorize the expression write 12x as a difference

That's

x² + 16x - 4x - 64

<u>Factor out x from the expression</u>

That's

x( x + 16) - 4x - 64

<u>Factor out - 4 from the expression</u>

That's

x( x + 16) - 4 ( x + 16)

<u>Factor out (x + 16) from the expression</u>

We have the final answer as

Hope this helps you

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Please help me answer this question mathematicians

Damm [24]

Answer:

6.5e^(i·(-157.38°)) ≈ 6.5e^(-2.7468i)

Step-by-step explanation:

A suitable calculator can find the value of this ratio for you.

((2+3i)/(1-i))² = -6 -2.5i ≈ 6.5∠-157.38° ≈ 6.5e^(-2.7468i)

The second attachments shows the calculator set to radian mode for the angle measure.

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1 year ago

Can the division expression 4 divided by 15 be shown as a fraction?

oksian1 [2.3K]

Yes, it can be shown as 4/15.

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2 years ago

Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

Aneli [31]

$\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\$

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

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3 years ago

Mike buys four equally priceDVD’s online each DVD cost the same amount with a 5.98 shipping charge included the total cost came

Butoxors [25]

Answer:

79.94 / 4 - 5.98 = 14 dollars and 5 cents

Step-by-step explanation:

If the DVDs were the same amount of money and he bought 4 of them and your total is 79.94 dollars you have to divide four from it because the DVDs are the same cost then your going to subtract 5.98 because that is shipping and your trying to find the total of the DVD and you get 14 dollars and 5 cents.

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2 years ago

[(7+3)x5-4](divided by) 2+3<br> SHOW ALL WORK WILL MARK BRAINLIEST

Nesterboy [21]

Answer:

Step-by-step explanation:

[(7+3)5-4]/2+3

-To solve this equation you have to use PEMDAS

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction-

- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])

Step 1) [(10)5-4]/2+3

- First you do "P," parentheses, so you add 7+3=10

Step 2) [50-4]/2+3

- Next you do "M," multiplication, and multiply 10x5=50

Step 3) [46]/2+3

- Then you do "S," subtraction, and subtract 50-4=46

(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)

Step 4) 23+3

- Now we do "D," division, and divide 46/2=23

Step 5) 23+3=6

- Finally we do "A," addition, and add 23+3=26 so the answer is 26

(FYI: "/" means division)

4 0

2 years ago