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saveliy_v [14]
3 years ago
6

Write an equation of an exponential function of the form y=ab^x passing through the points (0,8) and (6,0.125)

Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

y=8\cdot \left(\dfrac{1}{2}\right)^x.

Step-by-step explanation:

If the graph of exponential function passes through the points (0,8) and (6,0.125), then the coordinates of these points sutisfy the equation y=a\cdot b^x:\\

8=a\cdot b^0\Rightarrow a=8,\\ \\0.125=8\cdot b^6\Rightarrow \dfrac{1}{8}=8\cdot b^6,\\ \\b^6=\dfrac{1}{64},\\ \\b^6=\dfrac{1}{2^6}\Rightarrow b=\dfrac{1}{2}.

Thus, the equation of exponential function is

y=8\cdot \left(\dfrac{1}{2}\right)^x.

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Step-by-step explanation:

3^3=27, 27-7=20, 20·5=100, 100/10=10.

1+3=4, 4+6=10, 10+9=19, 19-10=9.

10+9=19.

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3 years ago
Can someone help me with this?
Roman55 [17]

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

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Go back to the first equation and solve it for either n or q. I solved it for n:

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