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3 years ago

Construct the graph of the equation given by solving for the intercepts. Show all of the steps

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer:

see below for the graph

Step-by-step explanation:

The intercept form of a linear equation is ...

x/(x-intercept) + y(y-intercept) = 1

You can put the given equation into this form by dividing by -2. Then you have ...

-x/(-2) +y/(-2) = 1

x/2 + y/(-2) = 1 . . . . . the x-intercept is 2; the y-intercept is -2

The graph shows the line through these points.

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Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write

Tasya [4]

Answer:

Joe worked 3 hours overtime.

Step-by-step explanation:

Let t = number of hours overworked

425 + 20 × t = 485

425 + 20t = 485

20t = 485 - 425

= 60

$\frac{20t}{20} = \frac{60}{20}$

t = 3

$\therefore$ Joe worked 3 hours over time.

Hope this helps :)

6 0

3 years ago

Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.

Natali [406]

This can be solve by using the formula

D = P( 1 – i)^n

Where d is the depreciation value after n years

P is the initial value

i is the depreciation rate

n is the years

D = 1/3 ( 1800)

D = 600

600 = 1800 ( 1- 0.45)^n

Solve for n

<span>N = 1.83 years</span>

3 0

3 years ago

Twenty percent of 150 is

Svetlanka [38]

20% of 150 is 30

Change the percentage into a decimal by dividing it over 100:

20 / 100 = 0.2

Multiply:

0.2 × 150 = 30

6 0

3 years ago

A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.

max2010maxim [7]

if it has a diameter of 8, that means its radius is half that, or 4.

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=4\\
h=5
\end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill$