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3 years ago

Find the constant of variation if x and y vary directly and x = 6 when y= -2/3 ?

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

k= 5/22

Step-by-step explanation:

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Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

$b^{4} = 16\\b=\sqrt[4]{16} \\b=2$

Put the b value in equation 2

$a=\frac{3}{2}\times 2$

$a=3$

Put the a and b value in equation 1

$y=3(2)^{x}$

So, the exponential function that passes through the points $(-1,\frac{3}{2})$ and $(3,24))$ are $y=3(2)^{x}$ .

6 0

2 years ago

A game has 50 cards with 10 each numbered 1 to 5,and a player must draw a 2 or a 3 to move out of the “start” position.

fenix001 [56]

Answer:

que?

Step-by-step explanation:

6 0

3 years ago

Find the value of the missing segment below please.

kogti [31]

Answer:

Um it might be 1 but feel free to correct me if I'm wrong

7 0

2 years ago

In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these res

aliya0001 [1]

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

5 0

3 years ago

Find the area & Explain

pochemuha

Answer:

D) 1188 in.^2

Step-by-step explanation:

33×36 is 1188, the triangle on the side doesn't matter because it can be used to make the rectangle a whole rectangle, which means that the only important numbers are 33 and 36 multiplied to find the area, which is 1188^2.

3 0

1 year ago