Answer:y=24 and x=10
Step-by-step explanation:
To find the value of x and y in x=3x-20 and y=-6+30
We gets
y=24
To get x
x=3x-20
Collect like terms
x-3x=-20
Divide through by -2
-2x=-20
x=10
It's important that you use the correct symbol to indicate exponentiation.
<span>f(x) = 0.4(3)x f(x) = 3(0.5)x f(x) = 0.8(0.9)x f(x) = 0.9(5)−x should be written as:
</span><span>f(x) = 0.4(3)^x f(x) = 3(0.5)^x f(x) = 0.8(0.9)^x f(x) = 0.9(5)−x.
Please double-check that last problem, as I am unsure of whether you meant 0.9^5 or (0.9)(5).
f(x) = 0.4(3)^x is definitely an exponential function.
Please try again. Do those problems that you can do an ask questions about the others.
</span>
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Answer:
(6, 4)
Step-by-step explanation:
The midpoint is found as the average of the coordinates of the end points.
M = (A +B)/2
M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2
M = (6, 4)
The midpoint of segment AB is (x, y) = (6, 4).
<h3>
Answer: 7/10</h3>
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Explanation:
There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.
If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.
The empirical probability of it not raining on the first of May is therefore...
1 - (probability it rains)
1 - (3/10)
(10/10) - (3/10)
(10-3)/10
7/10
We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)