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mel-nik [20]
3 years ago
12

1. Which function represents exponential decay?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}

0 < \frac{1}{7} < 1, thus, the second option represents exponential decay.

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Write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3
Olenka [21]
-4y -16 = x^2
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7 0
4 years ago
A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco
Elis [28]

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
4 years ago
A group consists of fivefive men and sevenseven women. FourFour people are selected to attend a conference.
exis [7]

Answer:

Step-by-step explanation:

a.

4 people can be selected in ways=12 P4=12×11×10×9=11880

b.

4 women can be selected in  ways=7P4=7×6×5×4=840

c.

P=\frac{840}{11880} =\frac{7}{99}

6 0
3 years ago
4x25x27 associate property
Pavel [41]
(4x25)x27
(100)x27
2700
7 0
3 years ago
Please help solve, will mark brainliest
Neko [114]

Answer:

1/3

Step-by-step explanation:

5 over 15

divide both by 5 to simplify 1 over 3

3 0
3 years ago
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