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3 years ago

What is the slope of the graph shown below ? A. 4/3 B. 1/4 C. -3 D. 4

Mathematics

1 answer:

Rzqust [24]3 years ago

5 0

Answer:

Step-by-step explanation:

$\text{The slope}$

$m=\dfrac{rise}{run}$

$rise=-4\\\\run=-1$

$m=\dfrac{-4}{-1}=4$

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Y=5x+2 <br> 4x-y=0<br> is (2,12) a solution of the system?

Svetach [21]

Answer:

The point (2,12) is not a solution of the system

see the explanation

Step-by-step explanation:

we have

$y=5x+2$ ----> equation A

$4x-y=0$ ----> equation B

Solve the system by elimination

Adds equation A and equation B

$y=5x+2\\4x-y=0\\------\\y+4x-y=5x+2+0\\4x=5x+2\\5x-4x=-2\\x=-2$

Find the value of y

substitute the value of x in the equation A

$y=5(-2)+2=-8$

The solution of the system is the point (-2,-8)

The system has only one solution, because the intersection point both lines is only one point

therefore

The point (2,12) is not a solution of the system

6 0

3 years ago

A mining company estimates that the marginal cost of extracting x tons of copper ore from a mine is 0.6 + 0.008x, measured in th

Serhud [2]

Answer:

The cost of extracting the first 50 tons of copper is $151,000.

Step-by-step explanation:

Start-up costs of $150,000.

For the 50 tons of cooper.

$C(x) = 0.6 + 0.008x$

$C(50) = 0.6 + 0.008*50 = 1$

1 thousand dollars.

$150,000 + $1,000 = $151,000

The cost of extracting the first 50 tons of copper is $151,000.

8 0

3 years ago

Which explicit formula describes the sequence -9,-3,3,9,15...?

dalvyx [7]

Answer:

the answer for your question is b

7 0

3 years ago

A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?

Troyanec [42]

Answer:

140 feet

Step-by-step explanation:

You will need to find the perimeter of the backyard to find how many feet of fencing will be needed

the formula for perimeter is: 2l+2w

So 2 times 30 is 60

with 2 times 40 80

60+80 is 140

Thus you will need 140 feet to cover the backyard

Hope this helps!

8 0

2 years ago

Read 2 more answers

Jude types 1,170 characters in 6 minutes. What is her typing rate in characters per minute? A. 200 characters per minute B. 197

Kisachek [45]

Answer:

Option C) 195 characters per minute

Step-by-step explanation:

We are given the following in the question:

Jude types 1,170 characters in 6 minutes..

We have to find the typing rate in characters per minute.

Thus can be done in the following manner:

Typing rate =

$=\dfrac{1170\text{ characters}}{6\text{ minutes}}\\\\=195\text{ characters per minute}$

Thus, Jude speed in characters per minute is

Option C) 195 characters per minute

7 0

3 years ago