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Rom4ik [11]
3 years ago
14

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!

7 0
3 years ago
Read 2 more answers
Use the picture below to answer questions 13a and 13b.
Svet_ta [14]

Answer:

13a:   Measure of angle 1 is 120 degrees

13b:   Angle 2 is 60 degrees

Step-by-step explanation:

Angle 1 is alternate exterior (so in a parallel pair they are equal) to the angle on line m given as 120 deg.

Angle 2 is 180 minus 120= 60   Sum of the two angles must equal 180.

3 0
3 years ago
For each of the values of h given, when x is increased from 1 to 1+h, work out:
borishaifa [10]
<span>This exercise should show you that as h approaches zero you get the value of the derivative of x^2 at x=1.

</span><span>the change in x^2) / h
   h=1___
   h=.1____
   h=0.1_____
   h=.001___
</span>
<span>change in x^2 = (1+h)^2 - 1^2 = (1+h)^2 - 1</span>
5 0
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

S= $11.0714

Assuming the variable X: the amount of money spent by a typical customer has a normal distribution and that there is no information about the population standard deviation, the best statistic to use for this estimation is a Students-t:

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

t_{n-1; 1-\alpha /2}= t_{25; 0.995}= 2.787

The margin of error of the interval is:

d= t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{n} }

d= 2.787 * \frac{11.0714}{\sqrt{26} }

d= 6.051

I hope it helps!

4 0
4 years ago
I will give brainliest :)
Jet001 [13]

Answer:

It is 102


Step-by-step explanation:


4 0
3 years ago
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