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2 years ago

Determine whether the given value is a solution of the equation.

Mathematics

1 answer:

serious [3.7K]2 years ago

6 0

Answer:

84 is a solution.

Step-by-step explanation:

To find out if 84 is a solution or not, we plug in the value and simplify.

(84)/14 = 6
6 = 6

Therefore, 84 is a solution.

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Yvonne is using a coordinate grid for the first time she wants to find out the location of the ordered pair (3,7) on the grid .

tigry1 [53]

She should start on the x axis (the one that's horizontal or goes left to right) and should go to the right first. Right is positive and the first number is a positive three so she would go to the right three units first.

5 0

3 years ago

When testing a new treatment, what is the difference between statistical significance and practical significance? Can a treatm

Arada [10]

Answer:

Statistical significance relates to whether an effect exists.

Practical significance refers to the magnitude of the effect.

And you can have statistical significance but not practical.

Step-by-step explanation:

Let's analize it with an example.

Suppose that your new treatment involves hair recovery.

You divide the population of the test in two different groups.

And you apply the treatment to only one of them.

You can see that the treatment works and there is a 3% improvment.

You have statistical significance. The treatment worked.

Now, if the test was expensive, the 3% improvement might not be practical.

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3 years ago

Determine if the following system of equations has no solutions ......................

topjm [15]

Answer:

No solutions

Step-by-step explanation:

3x+4y=-4

15x+20y=-22

——————————

-5(3x+4y)=-5(-4) multiply 1st equation by -5 so you can eliminate the variables

-15x-20y=20. Modified 1st equation

15x+20y=-22. 2nd equation

0+0=-2. Added two equations together

since 0 does not equal -2, there is no solution.

8 0

2 years ago

Wes lives in Colorado, which has a state income tax

VashaNatasha [74]

The answer is $41.44.

You take $895× 4.63%= $41.4385.

7 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago