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3 years ago

Which of the following best describes T in the general formula for an exponential function, which is shown below?

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

Answer:

A. Time

Step-by-step explanation:

The general formula for an exponential function is shown below:

$F(t) = Ao.b^{kt}$

where,

Ao = Initial amount

b = growth factor i.e come (1 + r)

r = growth rate

k = Constant

T = Time

Therefore the T describes the time

Hence, the first option is correct

To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (x₁, y₁) and Point D be (x₂, y₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point D = (-2, 5).

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2 years ago

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Step-by-step explanation:

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