Set y1=x+30 and y2=x^2, plugged those into the distance formula assuming x=a<span>,
</span><span>
d=rad(<span>(y2−y1<span>)^2)
</span></span></span><span>d(x)=x^2−x−30
</span>All you have to do is to maximize the given quadratic function. I hope that this is the answer that you were looking for and it has helped you.
<h3>
Answer: Choice C</h3>
P = 11/40 + 1/4 - 1/20
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Explanation:
The formula we use is
P(A or B) = P(A) + P(B) - P(A and B)
In this case,
- P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
- P(B) = 20/80 = 1/4 = probability of picking someone taking French
- P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes
So,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 11/40 + 1/4 - 1/20
which is why choice C is the answer
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Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.
Answer:
11
Step-by-step explanation:
replace x with -2 and calculate
Answer:
9(x-y+9z)
Step-by-step explanation:
9x-9y+81z
factor out a 9
9(x-y+9z)
Hello!
First, let's take a look at the two angles together. We can see that the two angles, when the measures are combined, add up to form a line, DEF. We can therefore see that the two angles DEG and GEF must add up to 180 degrees, as the measure of a line is 180 degrees.
Therefore, we can create our equation.
(7x - 3) + (12x - 7) = 180
Now, solve for x.
7x - 3 + 12x - 7 = 180
19x = 190
x = 10
Finally, substitute x into the angle measures to find the integer measurements.
Angle DEG: 7x - 3
7 * 10 - 3
70 - 3
67 degrees
Angle GEF: 12x - 7
12 * 10 - 7
120 - 7
113 degrees
Just to be sure, add up the angle measurements to make sure they equal 180. 67 + 113 = 180, which means we did our math correctly.
Hope this helps!
