<img src="https://tex.z-dn.net/?f=3457%20%5Ctimes%20461%20%2B%2078%20-%2049%20%2B%2074" id="TexFormula1" title="3457 \times 461

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Tems11 [23]

3 years ago

+ 78 - 49 + 74" alt="3457 \times 461 + 78 - 49 + 74" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

andriy [413]3 years ago

7 0

The answer would be 1593780

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Which exponential function is represented by the values in the table?

Goryan [66]

Answer:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

$f(x)=A\cdot r^x$

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0$

$f(0) = 4$

This gives the correct value of f(0)=4.

Substituting in the fourth function:

$\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0$

$f(0) = \frac{1}{2}$

This choice is wrong

Correct choice:

$\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}$

8 0

3 years ago

The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.

dimaraw [331]

Answer:

v(0) = 32,000 . . . dollars

v(13) = 16,427 . . . dollars

Step-by-step explanation:

The initial value is the value of the function for t=0. Put that into the formula and evaluate.

v(0) = 32,000(0.95^0) = 32,000 . . . . dollars

The value after 13 years is the function value for t=13. Put that into the formula and evaluate.

v(13) = 32,000(0.95^13) ≈ 32,000·0.513342 ≈ 16,427 . . . . dollars

5 0

3 years ago

the elephants water tank holds 2560 gallons of water. Afterbtwo weeks the zookeeper measures and finds that the tank has 1944bga

sesenic [268]

2560-1944= 616gallons
7 days in a week or 14 days in two weeks
616gallons / 14days = 44 gallons / 1 day
Notice in the fraction we have
(Gallons / days)
Now if you filled the take up the entire way
2560 gallons
We have gallons and the question wants the amount of days
Thus to cancel gallons we set the equation up as such
(2560 gallons) x (1 day / 44 gallons) = 58.18 days
Or 58 days

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3 years ago

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If you when your mom went to the park and there were two dogs one dog went to the owner how many dogs are at the dog park

melomori [17]

Answer: 2 Dogs

Step-by-step explanation: The other dog never left the park

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4 years ago

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A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?

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