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Anarel [89]
3 years ago
14

What is the slope of the line passing through the points (-6, 33) and (-2, 15)?

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

The slope is -9/2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=15-33/(-2)-(-6)

m=-18/4

m=-9/2

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Sophie drove 162 miles in 3 hours. on average, how fast did she drive in hours per mile
eimsori [14]

In this question, we're trying to find how many miles Sophie can drive in an hour.

We know that she drove 162 miles in 3 hours.

With the information above, we can find our answer.

We need to see how much she drives in 1 hour, so you would divide 162 by 3.

162 ÷ 3 = 54

This means that she drives 54 mph.

Answer:

54 mph

5 0
4 years ago
The school hall is 4 times as long as it is wide. If the perimeter is 55m, what is the length? and what is the width?
12345 [234]
-- The width of the school is ' W '.  We don't know what that is yet,
but we're going to find out.

-- We're told that the length is 4 times as much.  So the length is ' 4 W '.

-- Perimeter is (2 widths) + (2 lengths).

2 widths = 2 W
2 lengths = 8 W
Perimeter = 10 W

-- We're also told that the perimeter is 55m.  That's just what we need.

10 W = 55 m

Divide each side of this equation by 10:

W = 5.5 m

There's the width !
The length of the hall is 4 times as much.

Length = 4 W = 22 m


6 0
3 years ago
Find the domain and the range of the relation. Determine whether the relation is a function.
Sauron [17]

It is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

We are given a relation:

{(9 / 2, 1 / 4),(4 1 / 2, -4),(0, 5 / 6)}

We can also write it as:

{(9 / 2, 1 / 4),(9 / 2, -4),(0, 5 / 6)}

The domain of the relation will be:

Domain = { 9 / 2 , 0}

The range of the relation will be:

Range = {1 / 4, -4, 6}

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, this relation is not a function because:

The input 9 / 2 has 2 outputs as 1 / 4 and -4 which is not possible in a function.

Therefore, we get that it is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

Learn more bout domain here:

brainly.com/question/2264373

#SPJ9

7 0
2 years ago
The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 r
mr Goodwill [35]

Answer:

Option B) There is a 3 percent increase in the savings account each year.

Step-by-step explanation:

we have

M(x)=10,000(1.03^x)

This is a exponential function of the form

y=a(b^x)

where

M(x) represent the amount of money in a saving account

x represent the number of years

a is the original deposit (y-intercept)

b is the base

r is the rate or percent increase

b=(1+r)

The percent increase per year is the base of the exponential function decreased by 1.

so

r=b-1

In this problem we have

a=\$10,000 ---> original deposit

b=1.03\\r=1.03-1=0.03=3\%

Therefore

The percent increase per year is 3%

7 0
4 years ago
Read 2 more answers
Which expression is equivalent to 12/15?<br> A. 25÷12<br> B. 12÷25<br> C. 12÷1/25<br> D. 25÷1/12
Rudiy27

Answer:

None of the answers are correct, because 12/15=4/5, it's equivalent to 12 divided by 15.

Step-by-step explanation:

7 0
3 years ago
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