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3 years ago

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f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3

2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3

1 answer:

Deffense [45]3 years ago

6 0

Answer:

im confused. what math structure is this

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Kerrie uses the work shown below to determine 35% of 280.

lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

280 ------------> 100%

x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

$x = \frac {10 * 280} {100}\\x = 28$

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

280 ------------> 100%

x -----------------> 25%

Where "x" represents the amount given by 25% of 280.

$x = \frac {25 * 280} {100}\\x = 70$

Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

$28 + 70 = 98$

So, Kerrie's solution is correct.

Answer:

Option A

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A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c

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Answer:

Option A - $26 \mathrm{cm}^{3}$

Step-by-step explanation:

Given: The volume of a cylinder = $78 \mathrm{cm}^{3}$

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is $V=\frac{\pi r^{2} h}{3}$ (1)

The formula for volume of a cylinder is $V=\pi r^{2} h$ (2)

Substituting $V=78$ in equation (2), we get,

$\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}$

Given that the cone has the same radius and height of that of the cylinder, let us substitute $78=\pi r^{2} h$ in equation (1)

$\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}$

Thus, the volume of a cone with the same radius and height of a cylinder is $26 \mathrm{cm}^{3}$ .

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