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3 years ago

Please help me give me explanation so i can learn will mark brainlist

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

x=-1,2,3

Step-by-step explanation:

f(x) = 0 means we want to find where the graph has a y value of 0

In this example, the graph has a y value of 0 when x =-1 and when x = 2 and when x=3

There are 3 solutions to the equation f(x) = 0

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3 years ago

Which is bigger 40% of 120 or 1/4 of 200

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3 years ago

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3 years ago

The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times

Natali5045456 [20]

Answer:

The volume of the softball is 6.6 times the volume of the tennis ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

step 1

Find the volume of the softball

we have

$r=3.75\ cm$

substitute

$V=\frac{4}{3}(3.14)(3.75)^{3}=220.8\ cm^{3}$

step 2

Find the volume of the tennis ball

we have

$r=2\ cm$

substitute

$V=\frac{4}{3}(3.14)(2)^{3}=33.5\ cm^{3}$

step 3

Divide the volume of the softball by the volume of the tennis ball

$220.8\ cm^{3}/33.5\ cm^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

<em>Alternative Method</em>

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

The scale factor is equal to the ratio of its radius

$\frac{3.75}{2}=1.875$

therefore

The scale factor elevated to the cube is

$1.875^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

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4 years ago

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