All categories

2 years ago

Use the distributive property to remove the parentheses. -3(-6y +3w-2)

Mathematics

2 answers:

wariber [46]2 years ago

5 0

Answer:

18y-9w+6

Step-by-step explanation:

The distributive property tells that because the -3 is outside of the parentheses, we multiply all values inside the parentheses by -3.

So, -6y * -3 is 18y because two negatives cancel out, 3w * -3 equals -9w, and -2 * -3 is 6, again because two negatives cancel each other out.

We put this all together, the parentheses and -3 is removed, and the expression becomes 18y-9w+6.

LekaFEV [45]2 years ago

3 0

Answer:

18y-9w+6

Step-by-step explanation:

-3*-6y=18y

-3*3w=-9w

-3-2=6

so, 18y-9w+6

You might be interested in

Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.

valentinak56 [21]

Answer:

Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

Now we have everything in order to replace into formula (1):

$78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

8 0

3 years ago

Statement 1: A closed figure is a regular octagon if and only if it has exactly 8 congruent sides.

TEA [102]

Answer:

statement 2 is the inverse of statement 1

5 0

2 years ago

Which graph represents the following function? f(x)=-x+6

Murrr4er [49]

The answer is the one on the top

3 0

1 year ago

Can some one explain to me what substitution is and how to use it to solve equations?

Yakvenalex [24]

Answer:

Step-by-step explanation:

Say that your equation is 2x+4=8, x=2

you would plug in the 2 where your x is so, 2(2) +4=8

then you'd solve regularly.

Hope my answer has helped you!

5 0

4 years ago