Answer:
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Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
128 square inches.
The area of a triangle is 1/2bh, where b is the base and h is the height. Substitute the values in.
1/2 * 8 * 32
Now, just solve.
4 * 32
128 square inches
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Answer:
1.3559644*10^-^5
Step-by-step explanation:
From the information given we extract the following data
Total Number of Trials (N) = 191
Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)
Odds of success (p) = 0.85
Using the binomial formula for calculating probability, i.e.
Inputting the values
The quadratic function h(t) = −16t² + 84t + 72, shows that the person throws the ball from on top of a 72 feet building at a velocity of 84 feet/second.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The quadratic function h(t) = −16t² + 84t + 72, shows that the person throws the ball from on top of a 72 feet building at a velocity of 84 feet/second.
Find out more on equation at: brainly.com/question/2972832
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