Answer:
2. 0
Explanation:
Solve f[g(6)] by finding f(x) when x = g(6).
Find g(6).
g(x) = x - 8
Set x = 6.
g(6) = 6 - 8
g(6) = -2
Find f[g(6)].
f(x) = 6x + 12
Set x = g(6).
f[g(6)] = 6[g(6)] + 12
Substitute g(6) = -2.
f(-2) = 6(-2) + 12
f(-2) = -12 + 12
f(-2) = 0
Therefore, f[g(6)] is 0.
Let be the length of a leg. Using the pythagorean theorem, the hypotenuse is
So, the hypotenuse is times as long as either leg.
Answer:
39
Step-by-step explanation:
65/5=13
13x3=39
Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.