182 games
24 on each shelf
basicaaly
x shelves is more than or equal to 182 games
1 shelf=24
x times 24>182
divide both sides by 24
x>7 and 4/24
x has to be a whole number since you can't have fractional shelves
you have to have more shelves since less shelves won't allow you to carry all of them
round up
7 and something rounded u is 8
8 shelves (if you are a weird store that has fractional shelves then the answer is 7 and 1/6 shelves)
Answer:
13 1/3 cups of sugar
Step-by-step explanation:
The total of her first six quizzes is 75*6 = 450
Let her seventh score be x
The total of her seven quizzes be 450+x
Then, (450+x)/7 = 77
x = (77*7) - 450 = 89
Her seventh score is 89
x =
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
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Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
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In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
