Let the number of runs made on the home run be x, then for the <span>two 3-run home runs, we have 2x
Let the number of runs made in each hit be y, then for the 4 hits that each scored 2 runs, we have 4y.
Thus the algebraic expression to model the total score is 2x + 4y.
Because, there are 3 runs per home run, then x = 3 and because there are 2 runs per hit, then y = 2.
Therefore, the total score is given by 2(3) + 4(2) = 6 + 8 = 14.
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Answer:
1. 20
2. 23
3. 6
Step-by-step explanation:
We have that:
f(x) = 2x
g(x) = x² + 1
f(g(x)) is the composite function of f and g. So
f(g(x)) = f(x²-1) = 2(x²+1) = 2x² + 2
1. f(g(3))
f(g(x)) = 2x² - 2 = 2(3)² + 2 = 18 + 2 = 20
2. f(3)+g(4)
f(3) = 2(3) = 6
g(4) = 4² + 1 = 17
f(3) + g(4) = 6 + 17 = 23
3. f(5) - 2g(1)
f(5) = 2(5) = 10
g(1) = (1)² + 1 = 2
f(5) - 2g(1) = 10 - 2*2 = 10 - 4 = 6
The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.
The equation for this problem is:
2x+8=26
the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:
2x=18
after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:
x=9
Max is 9 years old.
For example let's say Megan has to pay the cab driver $50. Here's the equation 50=1.50x + 5
First you want to get x by itself on one side. So subtract 5 on both sides
50=1.50x + 5
-5 -5
---------------------------
45=1.50x
Now that you have x on one side; however, you want to divide to get the answer.
45=1.50x
-----------------------
1.50
x = 30
So if Megan pay $50 that mean she rode 30 miles
~by the way I'm sorry if you are looking at the answers and it isn't in the right place, I'm answering this on a tablet~
