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Leona [35]
2 years ago
13

What is the slope of the line represented by the equation 2x+3y= –122x+3y= –12 ?

Mathematics
2 answers:
atroni [7]2 years ago
4 0
The answer to your question is <span>B.-2/3</span>
Anna [14]2 years ago
4 0

we have

2x+3y=-12

Isolate variable y

2x+3y=-12

Subtract 2x both sides

3y=-2x-12

Divide by 3 both sides

y=-\frac{2}{3}x-4

the slope m is equal to

m=-\frac{2}{3}

therefore

<u>the answer is the option B</u>

-\frac{2}{3}

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3 0
3 years ago
A shipping container shaped like a rectangular prism must have a maximum volume of 10 cubic yards. If the container is 2 1/2 yar
denpristay [2]

Answer:

1\frac{1}{7} yards

Step-by-step explanation:

The maximum volume the shipping container can have is 10 cubic yards.

The volume of a rectangular prism is given as:

V = L * W * H

where L is length, W is width and H is height.

To find the maximum height of the container, make H the subject of formula:

H = \frac{V}{L * W}

We have been given the length and width of the container as 2 1/2 yards and 3 1/2 yards respectively.

Hence, the maximum height is:

H = \frac{10}{2\frac{1}{2} * 3\frac{1}{2} } \\\\H = \frac{10}{\frac{5}{2} * \frac{7}{2} }

H = \frac{10}{\frac{35}{4} } \\\\H = \frac{10 * 4}{35} \\\\H = \frac{40}{35} = \frac{8}{7} = 1\frac{1}{7}

The maximum height of the container is 1\frac{1}{7} yards.

7 0
3 years ago
The current rates for an 80/20 mortgage are 4.5% for the first mortgage. on a 100,000 30 year mortgage what is the actual rate.
sergeinik [125]

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a

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the answer to this question?
GaryK [48]

Answer: x\geq6

Step-by-step explanation:

g°h indicates that you must plug the function h(x) into the function g(x) as you can see below:

g\°h=\sqrt{(2x-8)-4}

Now you must simplify by adding like terms, as following:

g\°h=\sqrt{2x-12}

By definition you have that:

2x-12\geq0

Theen you must solve for x:

2x\geq12\\x\geq6

Therefore, the domain is:

{x ∈R:x\geq6}

Then the answer is x\geq6

3 0
3 years ago
Read 2 more answers
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