9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
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You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
Answer:
y=2x-3
Step-by-step explanation:
the negative 3 represents the y intercept and the 2 represents the slope.
<h3>
Answer: 0.3125</h3>
As a fraction, 0.3125 = 5/16
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Work Shown:
n = 5 trials
p = 0.5 is the probability of landing tails
x = 3 = number of tails we want to happen
Use the binomial PDF formula to get
(n C x)*(p)^x*(1-p)^(n-x)
(5 C 3)*(0.5)^3*(1-0.5)^(5-3)
10*(0.5)^3*(0.5)^(2)
0.3125
note: flipping a single coin 5 times is the same as flipping 5 independent coins one time
-4+square root 90
-4-square root 90
subtract 4x from both sides and you get y=4x
y varies directly with x. When x is 1, y is 1/4. when x is 4, y is 1. when x is 8, y is 2. So on and so on. Sorry if this is confusing. Direct variations is one of my weak points