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3 years ago

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Translate each phrase and select the one that is DIFFERENT from the others. two more than a number, n the total of n and 2 twice

the number n the sum of n and 2.

1 answer:

tensa zangetsu [6.8K]3 years ago

7 0

Answer:

Option C.

Step-by-step explanation:

We need to translate each phrase and find the different expression.

"+" sign is used for sum, more and total.

Twice means two times of a number.

Let n be the unknown number.

Two more than a number = n+2

The total of n and 2 = n+2

Twice the number n = 2n

Sum of n and 2 = n+2

From the above expressions it is clear that only 2n is different from other.

Therefore, the correct option is C.

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3 years ago

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Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

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Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

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$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

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