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Effectus [21]
2 years ago
11

Write a linear function f with the values f(0) =10 and f(6) =34.

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
8 0

Answer:

f(x) = 4x + 10

Step-by-step explanation:

The given information is in the form f(x) = y.

f(0) = 10 means if x is 0, y is 10. This is the point (0,10)

Likewise, f(6) = 34

means when x is 6, y is 34. That is the point (6,34).

Slope is y-y / x-x

34-10 / 6-0

is 24/6.

The slope is 4.

The y-intercept is where x is 0, that is 10.

y=mx+b is slope-intercept form. Fill in the slope, 4 for m and the y-intercept, 10, for b.

y = 4x + 10

but they also asked to call it f, so for function notation, use f(x) instead of y.

f(x) = 4x + 10

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A dice shows a number one through 12 which one number showing each time to die is rolled what is the probability of rolling a se
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Answer:

1/12

Step-by-step explanation:

7 is one number out of 12 so if we take the one to the fraction is 1/12 aka simple easy math. if you want to simplify it would be impossible because 1 to 12 its impossible if it was 2/12 it would be 1/6, Sorry if i got the answer wrong.

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3 years ago
Rewrite in simplest terms: -9(-9y – 9y + 5) – y
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Answer:

161y - 45

Step-by-step explanation:

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4 years ago
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24+89<br> A.113<br> B.34<br> C.87<br> D.90
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Answer:

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Convert the rate of 24 in/sec to an equivalent rate measured in ft/sec
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2 feet in a second 12 inches in a foot
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3 years ago
john has us and foreign stamps in his album. the ratio of the numer of us stamps to foreign stamps is 5:2. after paul gives him
VLD [36.1K]

Answer:

The number of U.S stamp he has is <u>120</u>.

Step-by-step explanation:

John has us and foreign stamps in his album. the ratio of the number of U.S stamps to foreign stamps is 5:2.

After Paul gives him 12 foreign stamps the ratio becomes 2:1.

Now, to find the number of U.S stamps.

Let the U.S stamps be x.

And the foreign stamps be y.

Now, to solve by using cross multiplication method:

<em>So, the ratio is:</em>

\frac{x}{y} =\frac{5}{2}

By cross multiplying we get:

2x=5y

<em>Dividing both sides by 2 we get:</em>

x=\frac{5y}{2}......(1)

Now, after Paul gives him 12 foreign stamps the ratio becomes:

\frac{x}{12+y} =\frac{2}{1}

<em>By cross multiplying we get:</em>

x=24+2y

Putting the value of x as we get in above equation (1):

\frac{5y}{2} =24+2y

<em>Multiplying both sides by 2 we get:</em>

5y=48+4y

<em>Subtracting both sides by 4y we get:</em>

y=48.

The number of foreign stamps = 48.

Now, to get the number of U.S stamps by putting the value of y in equation (1):

x=\frac{5\times 48}{2}

x=\frac{240}{2}

x=120.

Therefore, the number of U.S stamp he has is 120.

7 0
4 years ago
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