Answer: 7/9
Step-by-step explanation:
The square root of 49 is 7, and the square root of 81 is 9.
Answer:
Step-by-step explanation:
Even number on spinners are 5 out of 10 probability of it is 1/2 and probablity of coin landing on tails also 1/2
Probability of compound event is probability of first event multiplied by probability of second even
So 1/2×1/2=1/4
Second one is 9/10×1/2=9/20
Billy get 5.9% raise after completing first year.
<h3>What is PERCENTAGE?</h3>
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Here, Billy's initial salary = $ 42,500
After raise, salary become $ 45,000
Change in salary = Raised salary - Initial salary
= 45000 - 42500
= $ 2500
% Change = change / initial salary X 100
= 2500 / 42500 X 100
= 0.0589 X 100
≈ 5.9 %
Thus, Billy get 5.9% raise after completing first year.
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P(2 or 4) = 2/3
p(multiple of 2) = 1
p(multiple of 3) = 1/3
P(odd prime numbers) = 0
<h3>What are the probabilities?</h3>
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
P(2 or 4) = (number of sides that have a value of 2 / total number of sides) + (number of sides that have a value of 2 / total number of sides) = 2/6 + 2/6 = 2/3
p(multiple of 2) = number of sides that are a multiple of 2 / total number of sides
6/6 = 1
p(multiple of 3) = number of sides that are a multiple of 3/ total number of sides
= 2/6 = 1/3
P(odd prime numbers) = number of odd prime numbers / total number of sides = 0
To learn more about probability, please check: brainly.com/question/13234031
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9514 1404 393
Answer:
Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Step-by-step explanation:
The equation can be written in vertex form by "completing the square."
First factor out the leading coefficient from the x-terms.
f(x) = -(x² +2x) +3
Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
f(x) = -(x² +2x +1) +3 +1
Write in vertex form.
f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k
You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.
The function will be increasing to the left of the maximum, decreasing to its right.
__
Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Graph: see attached
