Total value of 100 measurements
100 * 23
2300
Total value of additional 50 measurements
50 * 27
1350
Total value of 150 measurements
2300 + 1350
3650
Average of 150 measurements
3650 / 150
24.3
25 > 24.3
Answer is B
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
Answer:
C.
Step-by-step explanation:
The highest term must be of x^4, then decreasing to x^3, x^2, x and the constant term.
Altogether there are at maximum 5 terms.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Read the values from the graph in the usual way: find the x-coordinate, then locate the point on the graph and find its y-coordinate.
You find the y-coordinate by following the horizontal line to the y-axis, where the numbers are.
9=3^2
3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x