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3 years ago

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