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Ket [755]
3 years ago
13

In an exponential function, (x) = a(b)^x, it is known that f(5)=15 and f(8)=170. which of the following is closest to the value

of b?
(1)1.87
(2)2.25
(3)3.19
(4)3.72
Mathematics
1 answer:
pshichka [43]3 years ago
4 0
3.19
The answer is C. 3.19
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26) Write the equation of the circle with center (0, 0) and (3, 6) a point on the circle. A) x2 + y2 = 9 B) x2 + y2 = 30 C) x2 +
alexdok [17]

Answer:C) x2 + y2 =45

Step-by-step explanation:

The equation of a circle in standard form is (x-h)2+(y-k)2=r2.

Since you know the center is (0,0), you can sub this is value in for h and k, then use the point (3,6) to sub in for x and y and you will find r2 =45. Hope that helps :)

4 0
3 years ago
Read 2 more answers
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius o
inn [45]

Answer: 3617.28 cubic millimeters.

Step-by-step explanation: I used the formula of a sphere since a gumball is a shape of a sphere and plugged the radius into the formula.

I got that the volume of a single gumball is 288π cubic millimeters.

Since there are 4 gumballs, i multiplied the volume by 4.

The total volume of the four gumballs add up to be 1152π .

Lastly, I multiplied 1152 by pi

and got the answer to be 3617.28 cubic millimeters

8 0
4 years ago
(WILL GIVE BRAINLIEST) Which of the following exponential functions goes through the points (1, 6) and (2, 12)?
olganol [36]

Answer:

\boxed{a. \: f(x) = 3(2)x} \: is \: correct

Step-by-step explanation:

if \: the  \: points \: are \:  (1, 6) \:  and  \: (2, 12) \to \\ then \to \\ m =  \frac{12 - 6}{2 - 1}  =  \frac{6}{1}  \\  \boxed{m = 6} \\ y - 6 = m(x  - 1) \\ y = 6x - 6 + 6 \\ y = 6x = (3)(2)x \\ but \: y = f(x) \to \: hence \to \\ \boxed{ f(x) = 3(2)x}

4 0
3 years ago
F(x) = x2 + 4x – 5 is x = -2.
Likurg_2 [28]
If im correct it would be -2(2)+4(-2)-5 which is -4-8-5 which would be -17
5 0
3 years ago
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