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meriva
3 years ago
10

How do you express one-half of the difference of a number cubed and one?

Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer:

\frac{ {x}^{3}  - 1}{2}

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Original:4<br> New:5<br> State whether the percent of change is an increase or decrease
borishaifa [10]

Answer:

increase

Step-by-step explanation:

percentage increase = new value (5) - original value (4) /original value (4) x 100

5-4 = 1

1/4 = .25

.25 x 100 - 25%

percentage decrease = original value -new l value / original value x 100

7 0
3 years ago
Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
denis23 [38]
<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion \frac{7}{60} = \frac{x}{24}

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so 7 multiplied by 24

and 60 multiplied by x

7*24=60x

168=60x

\frac{168}{60} =\frac{60x}{60}

2.8=x or x=2.8

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or \frac{7*24}{60}

Then\frac{168}{60} simplify

2.8 so 2.8 miles in either method

3 0
3 years ago
A ladder is leaning up against the side of a house. Use two points
Natali [406]

Answer:

The slope is 2.

Step-by-step explanation:

Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.

4 0
3 years ago
Question 8
sasho [114]

we are given

system of equations

First equation is

3x-2y=31

Second equation is

3x+2y=-1

now, we can find augmented matrix

A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}

step-2:add -3 times the 1st row to the 2nd row

A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}

step-3:multiply the 2nd row by 1/4

A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}

step-4: add 2/3 times the 2nd row to the 1st row

A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}

so, we get

x=5,y=-8

Answer is (5,-8)

6 0
4 years ago
Read 2 more answers
What’s the circumference of circles
ale4655 [162]

Answer:

62.83185

Step-by-step explanation:

C=2πr=2·π·10≈62.83185

6 0
2 years ago
Read 2 more answers
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