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liubo4ka [24]
3 years ago
8

F(x)=(1/4)^x what is the y-intercept common ratio

Mathematics
1 answer:
Vesna [10]3 years ago
6 0
See attached graph.

The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.

The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.

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The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. What are the dimensions of the rectangle?
arsen [322]

Answer:

The rectangle is 16*18

Step-by-step explanation:

The area of a rectangle is length * width and the perimeter is 2 times length * width

A = l*w

P = 2(l+w)

Replacing A and P

288 = l*w

68 = 2(l+w) => 34 = l+w => 34 - w = l

replacing l in the area

288 = (34 - w) w

w^2 - 34w + 288 = 0

(w - 16)(w - 18)

w = 16

w = 18

replacing in 34 - w = l

you get that when w = 16, l = 18 and when w = 18, l = 16

8 0
3 years ago
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work pleas
Oksanka [162]

Answer:

A. 322 mm^2

Step-by-step explanation:

The area of the rectangle is 14 times 20

14 x 20 = 280

The area of the rectangle is 1/2 times 14 times 6

1/2(14)(6)=42

Finally add 280 and 42 and the answer is 322

4 0
3 years ago
Read 2 more answers
Please help! <br><br> ~I WILL MARK BRAINLIEST!~
likoan [24]
I’m pretty sure it is B
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6 0
3 years ago
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3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0
3 years ago
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Suppose the average number of rainy days in albuquerque in september is about 7. what is the probability that in september 2017,
Otrada [13]
1/62 chance of 10 rainy days
3 0
3 years ago
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