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Colt1911 [192]
3 years ago
14

Why are there limitations on the values of the base of an exponential function?

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Exponential functions look somewhat similar to functions you have seen before, in that they involve exponents, but there is a big difference, in that the variable is now the power, rather than the base. Previously, you have dealt with such functions as<span>f(x) = x2</span><span>, where the variable </span>x<span> was the base and the number </span>2<span> was the power. In the case of exponentials, however, you will be dealing with functions such as </span><span>g(x) = 2</span>x, where the base is the fixed number, and the power is the variable.

Let's look more closely at the function <span>g(x) = 2</span>x<span>. To evaluate this function, we operate as usual, picking values of </span>x<span>, plugging them in, and simplifying for the answers. But to evaluate </span>2x<span>, we need to remember how exponents work. In particular, we need to remember that </span>negative exponents<span> mean "put the base on the other side of the fraction line.   </span>

<span>
</span>

<span>hope this help plz mark brainliest</span>

<span>
</span>

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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
Dmitry [639]

check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


notice, it cannot be -18, since is a positive length unit.

5 0
3 years ago
Read 2 more answers
What is the volume of this sphere?
Darina [25.2K]

Answer:

523.59 or 523.60

Step-by-step explanation:

Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)

(r is radius, V is volume)

V= 4/3 x π x r^3

The diameter is 10, so the radius is 5...

V= 4/3 x π x 5^3

V= 4/3 x π x 125

CALCULATER: 4 ÷ 3 x π x 125

Answer 523.59  (523.60 rounded)

6 0
3 years ago
Please help me guys!!!
sdas [7]
I can't see the whole problem
3 0
3 years ago
At Petco they have 3 hamsters for every 2 guinea pigs. Write this ratio in all 3 ways.
emmainna [20.7K]

Answer:

3:2 , 3/2,  3 to 2

Step-by-step explanation:

The best one is 3:2 cause it is the most used way to write a ratio. 3:2 also means 3 divided by 2 or 3 out of 2 so that's why you would use the other 2.

8 0
3 years ago
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a cell phone store sells the basic model of a phone for $30 and the upgraded model for $100 when a customer signs a two-year agr
alisha [4.7K]
30b + 100u = 900
5b + 25u = 200....multiply by -6
------------------
30b + 100u = 900
-30b - 150u = - 1200 (result of multiplying by -6)
------------------add
-50u = - 300
u = 6 <== upgrated phones sold

30b + 100u = 900
30b + 100(6) = 900
30b + 600 = 900
30b = 900 - 600
30b = 300
b = 10 <== basic phones sold

8 0
3 years ago
Read 2 more answers
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