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xz_007 [3.2K]
3 years ago
12

Please solve with elimination

Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

Step-by-step explanation:

5x+9y=-3             Multiply both sides by 8

40x+72y=-24

-53x-8y=-3  Multiply both sides by 9

-477x -72y= -27

sum the equations vertically to eliminate one variable  

40x+72y= -24

-477x-72y= -27       (the y cancels out )

-477x =-51                (-24 + -27=-51)

-477x=-51 / -477       divide both sides by -477

x =51/437

5x 51/437=9y= -3   substitute the value of x

y= -174 /437

(x,y) = (51/437,  -174/437)

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How do you factor 9x^3 + 64 <br> (Please show steps)
Novosadov [1.4K]

First, let's review the formula for the "sum of two cubes:"

a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Unfortunately, 9 is not a perfect cube. The cube root of 9 is 9^(1/3), and the square of the cube root of 9 is therefore 9^(2/3).

Thus,

9x^3 + 64 = (9^(1/3)*x + 4) * (9^(2/3)x^2 - 4*9^(1/3) + 16)

8 0
3 years ago
foot locker uses sales per square foot as a measure of store productivity last year the mean annual sales per square foot was 39
lord [1]

Answer:

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

Step-by-step explanation:

We have a population with mean 390 and standard deviation 45.83.

Samples of size n=49 are taken.

The parameters of the sampling distribution are:

\mu_s=\mu=390\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{45.83}{\sqrt{49}}=\dfrac{45.83}{7}=6.547

First, we have to calculate the z-score that satisfies:

P(z>z^*)=0.82

This z-score, looked up in a standard normal distribution table, is z=-0.915.

Then, we can calculate the sample mean as:

M=\mu_s+z\cdot\sigma_s=390+(-0.915)\cdot 6.547=390-6=384

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

3 0
3 years ago
A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her
Ivahew [28]

Answer:

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Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

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distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

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7 0
3 years ago
Help please due monday
alina1380 [7]

Answer:

I think it is<u> D,</u> but I am not sure.

Step-by-step explanation:

Have a nice day!

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3 years ago
You earned $80 this week and decided to spend 65% of your money on a new shirt. How much did you spend?
Anna007 [38]

Answer:

$28

Step-by-step explanation:

you cross multiply then divide by 100

then you subtract from 80

80 x 65 divide by 100 =

80 - 52 = 28

4 0
3 years ago
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