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12345 [234]
3 years ago
8

Write the equation in the form y = a • b^x given the table below.​

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x

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3 years ago
Find the length of side xx in simplest radical form with a rational denominator.
borishaifa [10]

Answer:

x = 3sqrt(2)/2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

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3 years ago
Read 2 more answers
A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
vagabundo [1.1K]

Answer:

She sold 5.775 kilograms of pears at the farmer's market.

Step-by-step explanation:

Let's first determine the information that the question gives us, and what we need to find.

Given:

The farmer sold 7.7 kilograms of apples and pears

1/4 of the weight is apples

The rest of the weight is pears

Find:

Kilograms of pears that the farmer sold

Start by finding the fraction of the whole weight that was pears...

1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}

Now, find 3/4 of 7.7...

\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg

She sold 5.775 kilograms of pears at the farmer's market.

3 0
2 years ago
Please help me!!!! I need to hand it in rn!!
Maurinko [17]

Answer:

12

Step-by-step explanation:

no \: of \: side \: of \: polygon \\  =  \frac{360 \degree}{ measure \: of \: exterior \: angle}  \\  \\  =  \frac{360 \degree}{ 30 \degree} \\  \\  = 12

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4 years ago
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3 years ago
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