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4 years ago

Write an exponential equation in the form y = abx whose graph passes through points (2, 18) and (5, 60.75).

1 answer:

8 0

18 = ab^2
60.75 = ab^5
from first equation:- a = 18/b^2
so
60.75 = (18/b^2) * b^5
60.75 = 18b^3
b = cube root (60.75 / 18)
b = 1.5

so a = 18/1.5^2 = 8

so the required equation is y = 8(1.5)^x

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Artyom0805 [142]

Answer:

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Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

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substitute

$6=x+x+CD+DH+x$

$6=3x+CD+DH$ -----> equation A

<em>In the right triangle CDH</em>

$sin(30\°)=\frac{CH}{CD}$

$sin(30\°)=\frac{1}{2}$

Remember that $CH=x$

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$CD=2x$

$tan(30\°)=\frac{CH}{DH}$

$tan(30\°)=\frac{\sqrt{3}}{3}$

$\frac{\sqrt{3}}{3}=\frac{x}{DH}$

$DH=x\sqrt{3}$

substitute the values in the equation A

$6=3x+CD+DH$ -----> equation A

$CD=2x$

$DH=x\sqrt{3}$

$6=3x+2x+x\sqrt{3}$

$6=5x+x\sqrt{3}$

$6=x[5+\sqrt{3}]$

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3 years ago

The Standard form of a quadratic equation is?

NikAS [45]

Answer:

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Step-by-step explanation:

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4 years ago

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solong [7]

Answer:

184.68cm

Step-by-step explanation:

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3 years ago

The table below shows the surface area y, in square feet, of a shrinking lake in x days:

Sindrei [870]

The scatter graph of the data is shown in the first picture below

The 'line of best fit' shows a negative gradient

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3 years ago

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