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3 years ago

Write an exponential function that passes through the points (0, 3) and (-1, 6)

1 answer:

3 0

Standard form of an exponential function is y=ab^x
when x=0, y=3, 3=ab^0, so you can figure out that a=3
when x=-1, y=6, 6=3b^(-1), b^(-1)=2, b=1/2
so the equation is y=3(1/2)^x

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12/13 would be your answer if you were to simplify your answer

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3 years ago

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HELP READ Look At picture

Bogdan [553]

Answer:

$24=4k$

$k=6$

Step-by-step explanation:

For this exercise it is important to remember that "Times as great as" indicates multiplication.

Therefore, "4 times as great as" can be expressed as following:

$4k$

So, the statement "24 is 4 times as great as" indicates that 24 is equal to $4k$ .

Knowing this, you can write the following equation:

$24=4k$

In order to solve for "k", you can divide both sides of the equation by 4. Then, you get the following result:

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3 years ago

Solve. -2 1/3 - (-5)=

VMariaS [17]

Answer:

$\frac{8}{3}$

Step-by-step explanation:

$-2\frac{1}{3} - (-5)\\=\frac{-7}{3} + 5\\= \frac{-7}{3} + \frac{15}{3} \\= \frac{8}{3}$

Hope this helps!

7 0

3 years ago

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Prove that the value of the expression: (16^3–8^3)(4^3+2^3) is divisible by 63.

Korvikt [17]

Answer:

The expression (16^3–8^3)(4^3+2^3) is divisible by 63

The answer is

4096

Step-by-step explanation:

Firstly let us evaluate expression

=(16^3–8^3)(4^3+2^3)

=(4096-512)(64+8)

=(3584)(72)

=258048

=258048/63

= 4096

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3 years ago

Markia had some cookies. She gave four to her sister. Then, she divided the remainder into two halves, and she still had five co

marishachu [46]

Answer:

Markia had 14 cookies.

Step-by-step explanation:

Let's represent the total amount of cookies as y.

We know that after she gave away 4 cookies and divided the remainder by 2, she had 5 cookies left.

This can represented as an equation.

$\frac{y - 4}{2}$ = 5

To solve this equation we have to isolate the y.

$\frac{y - 4}{2}$ = 5

Multiply both sides by 2 to isolate the y - 4: y - 4 = 10

Add 4 to both sides to isolate the y: y = 14

The total amount of cookies is 14.

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3 years ago

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