y = -2x + 9
y = 4x - 3
y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.
-2x + 9 = 4x - 3
Subtract 9 from both sides.
-2x + 9 - 9 = 4x - 3 - 9
-2x = 4x - 12
Subtract 4x from both sides.
-2x - 4x = 4x - 12 - 4x
-6x = -12
Divide both sides by -6.
-6x/-6 = -12/-6
x = 2
Substitute 2 for x into one of the original equations to find y.
y = 4x - 3 (given)
y = 4(2) - 3 (substitute)
y = 8 - 3 (multiply)
y = 5 (subtract)
Plug x- and y-values into original equations to check work.
5 = -2(2) + 9
5 = - 4 + 9
5 = 5
5 = 4(2) - 3
5 = 8 - 3
5 = 5
Answer:
x = 2 and y = 5; (2, 5).
Answer: [C]: "Each circle has only one diameter."
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Answer:
Normally Distributed.
Explanation:
After plugging all those numbers into a calculator you can see that the graph isn't left skewed, making both "left skewed" and "all of the above" <em>not an answer.</em> "correlated with a second set of data" is also <em>wrong</em> since there was no second set of data given. That leaves you between "uniformly distributed" and "normally distributed" This graph doesn't show a uniformly distributed graph, which leaves you with the final answer, normally distributed.
APEX
Step-by-step explanation:
There are 20 chips in total.
P(red) = 8/20 = 2/5
P(not green) = 16/20 = 4/5
P(yellow or green) = 9/20