Answer: The vertex is (-3, 2)
The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2
I rewrote x+3 as x - (-3)
Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k
Note how
a = -4
h = -3
k = 2
So the vertex is (h,k) = (-3, 2)
Answer:
What is the probability formula?
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In general, the probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Answer:
Danielle earns $1.20 more than Mackenzie (per hour)
Step-by-step explanation:
To find out how much money per hour each person earns, you would divide the earinings by the number of hours;
Danielle: $36.80/4 = $9.20 per hour
MackKenzie: $50.40/6 = $8.40 per hour
To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;
9.40 - 8.20 = $1.20
Thus, Danielle earns $1.20 more than Mackenzie per hour.
Hello there! The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 5/12 remains the same, division becoems multiplication, and 20/36 flips over to become 36/20. So the expression becomes this:
5/12 * 36/20
Now, we multiply straight across. 5 * 36 is 180. 12 * 20 is 240. 180/240 is 3/4 in simplest form. There. The quotient is 3/4.
