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luda_lava [24]
2 years ago
10

In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of t

he exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Mathematics
2 answers:
Serhud [2]2 years ago
9 0
If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing. 

(this is the sample answer.)
GrogVix [38]2 years ago
3 0
If the base were 1, then the final value would never change...it would be a constant...
If the base is between zero and one, it is an exponential decay equation, so the final value would continually get smaller and smaller...
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Daniel, my son, is exactly one fifth of my age. in 21 years time, i will be exactly twice his age. my wife is exactly seven time
nydimaria [60]
Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y

x = 5d (given in question)
∴ x - 5d = 0

x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21

We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:

3d = 21
∴ d = 7

This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.

y = 7j (given in question)
∴ y - 7j = 0

y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16

If we use a similar method of elimination we get this:

4j = 16
∴ j = 4

Hence, from this we can concur that daniel is 7 and jessica is 4.
3 0
2 years ago
Which of the following options is an equivalent function to f(x) = 4(3)2X?
Paha777 [63]

Answer:

f(x)=4(6x)

Step-by-step explanation:

Given:

the given expression is.

f(x)=4(3)2x

Simplify the given expression.

f(x)=4(3)2x

f(x)=4(3\times 2x)

f(x)=4(6x)

Therefore, the option f(x)=4(6x) is an equivalent function to f(x)=4(3)2x.

8 0
2 years ago
The regression equation, y = 6.5x + 20, is obtained after performing a regression analysis, where x represents the number of hou
erastovalidia [21]

Answer:

The correct answer is True

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Use the graph of f below. Assume the entire function is graphed below.<br> Find the domain
enot [183]

ANSWER

The domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

EXPLANATION

The domain of a function refers to the values of x for which the function is defined.

From the graph, we can see that the function begins at (-3,6) and ends at (6,-4).

Therefore the function is defined for x=-3 to x=6.

Hence the domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

5 0
2 years ago
ΔABC and ΔXYZ are similar triangles. If BC = x + 7, AC = x + 6, YZ = 4 − x, and XZ = 3 − x, find the value of x.
Montano1993 [528]
I believe the answer is B) -3/2 or -1.5.

Please give a heart and rating if this is right!
3 0
2 years ago
Read 2 more answers
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