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3 years ago

Solve for u. |5u + 15| = 10

Mathematics

1 answer:

Rudiy273 years ago

6 0

Answer:

-1 and -5

Step-by-step explanation:

You must account for negative u values (which the abs nullifies).

So $5u+15=10$ and $5u+15=-10$ is what we have to solve for.

As for usual equations, isolate the u variable.

5u + 15 = 10

5u + 15 (-15) = 10 (-15)

5u = -5

$\frac{5u}{5}=\frac{-5}{1}$

u = -1

Now you can do the same operation for the other equation and you should get u = -5.

Let's make sure we did it right by replacing u with one of our solutions (-1 or -5).

$|5(-1)+15| = 10\\10 = 10$

That's true. What about the other one?

$|5(-5)+15|=10\\10=10$

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Factorize x^3-10x^2-53x-42

pochemuha

Answer:

(x+1)(x-14)(x+3)

Step-by-step explanation:

The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.

According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0

In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42

f(-1) = 0

Therefore (x+1) is a factor of the polynomial.

Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.

We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.

Therefore (x^2)-11x-42 factosied is (x-14)(x+3)

Now merge (x+1) with (x-14)(x+3)

The final answer is (x+1)(x-14)(x+3)

If this has helped, please consider making this the Brainliest answer!

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3 years ago

Read 2 more answers

Use the picture below to answer questions 13a and 13b.

Svet_ta [14]

Answer:

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3 years ago

For each of the values of h given, when x is increased from 1 to 1+h, work out:

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3 years ago

You own a small storefront retail business and are interested in determining the average amount of money a typical customer spen

Inga [223]

Answer:

Step-by-step explanation:

Hello!

The Confidence intervals for the population mean to follow the structure "point estimation"±" margin of error"

You as the store owner took a sample to determine the average amount of money a typical customer spends on your shop.

n= 26 customers.

X[bar]= $77.506

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[X[bar] ± $t_{n-1;1-\alpha /2}$ * $\frac{S}{\sqrt{n} }$ ]