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enot [183]
1 year ago
7

Find the domain and range of the function y = f(x) = r2.=Domain:help (inequalities)Range:help (inequalities)

Mathematics
1 answer:
Juliette [100K]1 year ago
6 0

we have the function

y=f(x)=x^2

the domain is all real numbers -------> interval (-∞, +∞)

the vertex of the vertical parabola is the origin (0,0)

the parabola opens upward

the vertex is a minimum

so

the range is the interval [0, ∞)

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A wise man once said “400 reduced by 3 times my age is 244.” How old is the wise man?
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3 years ago
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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

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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

<em></em>

c.\ r = 8cm

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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

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

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2 years ago
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