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sveticcg [70]
3 years ago
13

Determine if the function f is an exponential function. If so, identify the base. If not, why not?

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer:  D) The base is e^(-1)

We use the rule that x^(-k) = 1/(x^k). That allows us to say e^(-1) = 1/(e^1) = 1/e

The 1/e is the base of the exponential (1/e)^x

In general, the exponential b^x has base b.

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9. Given 8x+4y = 4, identify the slope and y-intercept.
Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

-2 is the slope, and 1 is the y-intercept.

3 0
3 years ago
Which biconditional statement is true?
Oksana_A [137]

Answer:

The first one: A shape is a rectangle if and only if the shape has exactly four sides and four right angles.

Step-by-step explanation:

The true statement is the first one:

A shape is a rectangle if and only if the shape has exactly four sides and four right angles.

4 0
3 years ago
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The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this g
Alisiya [41]

Answer/Step-by-step explanation:

a. Using two points on the line (0, 2) and (4, 12), find the gradient:

Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5

Gradient = 2.5

b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.

i.e. 2.5 litres per second

c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.

4 0
2 years ago
Let f be defined as shown.<br> What is f^-1(1)?
FinnZ [79.3K]

Answer:

From the above image when the input of f(x) is 9 the output is 1

So f^-1(1) is just the reverse when the input is 1 the output is 9

So f^-1(1) = 9

Hope this helps

6 0
3 years ago
When is the magnetic field the strongest?
kodGreya [7K]
When it's by the magnetic poles
6 0
3 years ago
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