Answer:
1.
2.
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:
We solve the equation (1/6)x + 14 = (3/4)x, where x is the number of gallons;
We have 2x/12 + 168/12 = 9x/12;
2x + 168 = 9x;
168 = 7x;
x = 168 ÷ 7;
x = 24 gallons;
Complementary angles are two angles that add up to 90°
Supplementary angles are two angles that add up to 180°
Vertical angles are two angles that are opposite of each other and are also congruent
Since 52% is the same as 52/100, we can multiply 875 by 52/100 in order to find the green buttons.
52/100(875) = 455
455 green marbles
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