Answer:
f(g(3)) =31
Step-by-step explanation:
f(x) = 3x+4
g(x) = x^2
f(g(3) ) =
First find g(3)
g(3) = 3^2 =9
The use 9 in f(x)
f(g(3)) = f(9) = 3*9+4 = 27+4 = 31
Answer:
5/15
Step-by-step explanation:
Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
<u><em>y=5</em></u>
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
<u><em>x=16</em></u>
<u><em>Now to check if our answers are correct, we plug in both values into any equation and see if they equate.</em></u>
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
Answer:
It will take about 35.439 years to triple.
Step-by-step explanation:
Recall the formula for continuously compounded interest:
where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).
Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:
Now,in order to solve for "t" (which is in the exponent, we use logarithms:
Answer:
58.66 is the radius of the circle