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Oksana_A [137]
3 years ago
8

Drag each label to the correct location on the graph. Not all tiles will be used.

Mathematics
2 answers:
horsena [70]3 years ago
8 0

Answer:

Part 1) 2.5 + 3.5x

Part 2) The rate of change is 2.5

Part 3) The initial value is $3.5

Step-by-step explanation:

Bogdan [553]3 years ago
4 0

Answer:

Part 1) y=2.5x+3.5

Part 2) The rate of change is 2.5\frac{\$}{mile}

Part 3) The initial value is $3.5

see the attached figure

Step-by-step explanation:

Part 1) Find the equation of the line

Observing the graph

Identify the points (0,3.5) and (1,6)

calculate the slope

m=(6-3.5)/(1-0)=2.5\frac{\$}{mile}

Find the equation of the line

y=mx+b --->equation of the line into slope intercept form

we have

m=2.5\\ b=3.5

substitute

y=2.5x+3.5

Part 2) Find the rate of change

we know that

The rate of change of the graph is equal to the slope of the line

the slope of the line is m=2.5\frac{\$}{mile}

therefore

The rate of change is 2.5\frac{\$}{mile}

Part 3) Find the initial value

we know that

The initial value of the function is the y-intercept, is the value of y when the value of x is equal to zero

In this problem is the cost when the distance is equal to zero

The y-intercept is the point (0,3.5)

therefore

The initial value is $3.5

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Answer:

Step-by-step explanation:

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

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3 years ago
If a child is randomly selected from Columbus elementary school, what is the probability that the child will be a boy?
lora16 [44]

Answer:

G+35 -3G=25

2G = 10, G =5

B = G+35 = 40

So then the correct option would be:

C. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

Step-by-step explanation:

Assuming the following options:

A. Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

B. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

C. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

D. Each statement ALONE is sufficient to answer the question.

E. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Notation

Let B the event that we select a boy and G the event that we select a girl.

We are interested in find the probability of being boy, on math would be:

P(B) = \frac{B}{B+G}

From condition (1) we can do this:

\frac{B-25}{(B-25)+G} = 0.75 =\frac{3}{4}

4B - 100 = 3B -75 +3G

B -3G = 25    (1)

As we can see we have two unknown and we can't solve the system.

Now from condition (2) we can do this:

B= G+35  (2)

We see that condition (2) alone is not enouch to solve the problem.

And we need both conditions in order to solve the problem. If we replace equation (2) into equation (1) we got this:

G+35 -3G=25

2G = 10, G =5

B = G+35 = 40

So then the correct option would be:

C. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

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3 years ago
Daniel is tiling his kitchen, but he does not want to tile under the refrigerator. The area he will tile is shown. What is the a
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Answer:

174 ft squared

Step-by-step explanation:

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3*18=54

54+120=174

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NO links or report
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Step-by-step explanation:

part A. D. 20 flowers total in the garden

part B. flowers that are 7 1/4 or more = 12

7 or less = 8

12-8 = 4

D 4

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3 years ago
It is recommended that one fire extinguishers be available for every 6,000 s I are feet in a building. Write and solve the equat
vovikov84 [41]

For every 6000 square feet in a building, there is one fire extinguisher.

So for 135000 square feet, the equation is like direct proportion (because the more the square feet, the more fire extinguishers needed).

1 : 6000

x : 135000

Multiply x with 6000, and 1 with 135000.

So, the result is:

6000x = 135000

x = 135000/6000

x = 22.5

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3 years ago
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