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3 years ago

A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

Answer:

y = (1/5)x² or y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²

We know that when x = 5, y = 5, so we have

5 = a(5²) now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or x²/5 (the expressions are equal)

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A rug is 4 m wide. How much is this in centimeters?

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They need $146,000 for the franchise. They invest in a 3:6 ratio, respectively.

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Step-by-step explanation:

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3 years ago

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2

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Answer:

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