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vodomira [7]
2 years ago
9

Spiral Review What single transformation is represented by the expression

Mathematics
1 answer:
In-s [12.5K]2 years ago
3 0

Answer:

about 180 degrees

Step-by-step explanation:

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3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

----------------

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
Alja [10]

f= the original amount of people, a steady growth throughout the years

t=time

In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.

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2 years ago
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C. The functions fans g have different axes of symmetry and different minimum values
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2 years ago
2x+6=3x+6 help me plz​
jolli1 [7]
The answer would be, X=0
7 0
2 years ago
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Which table has a constant al proportionality between y and 1.57 Choose 1 answer​
Blizzard [7]

Answer:

b

Step-by-step explanation:

I did this problem before

8 0
2 years ago
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