Answer:
-10
Step-by-step explanation:
2*-2=-4
3*-5=-15
1-(-4)+(-15)=-10
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
So -2 is the domain so it is 2 left.
Then -3 is the range so you go 3 down.
so line M is the answer
Answer:
1920 cubic centimeters
Step-by-step explanation:
If you recall the formula to find volume, it is V=Bh (Bh stands for area of the base times the height). First, multiply 14, 8, and 10 together, to get 1120, the volume of the first figure. To find the volume of the second figure, do the same: multiply 10, 10, and 8 together to get 800. Finally, add the two volumes together to get the volume of the figure, 1920 cubic centimeters.
Answer:
Step-by-step explanation:
The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.
7/(x + 7) = 6/(15 + 6) Cross Multiply after combining
7 / (x + 7) = 6/(21)
6 * (x + 7) = 7 * 21 Remove the brackets
6x + 42 = 147 Subtract 42
6x = 147 - 42
6x = 105 Divide by 6
x = 17.5
I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.
