Answer:
here (edit I made a mistake)
Step-by-step explanation:
9) 
10) y = x - 3
11) 
12) 
these are the slop int forms, my bad...
sorry
First we multiply the numbers ignoring the decimal and then place the decimal in the position
3.04 *7.091 = 2155664
Now the first number has two digits after the decimal and the second number has three digits after the decimal.
Therefore in the final result we have to move the decimal (2+3) =5 place from the left,
So the answer would be 21.55664
So, the correct answer is 21.55664
Jerry calculated the answer correctly , but made an error in the placement of the decimal point. The answer is not reasonable because 2.155664 and 21.55664 mean two completely different answer far apart from each other
Step-by-step explanation:
let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)
Now,
3x+x=56 (sum of their ages is 56)
or 4x=56
or x=56/4
or x=14
therefore age of samantha=3x=3×14=42
age of jason = x = 14
Answer:
- y = 81-x
- the domain of P(x) is [0, 81]
- P is maximized at (x, y) = (54, 27)
Step-by-step explanation:
<u>Given</u>
- x plus y equals 81
- x and y are non-negative
<u>Find</u>
- P equals x squared y is maximized
<u>Solution</u>
a. Solve x plus y equals 81 for y.
y equals 81 minus x
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b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.
P equals x squared left parenthesis 81 minus x right parenthesis
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c. Find the domain of the function P found in part b.
left bracket 0 comma 81 right bracket
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d. Find dP/dx. Solve the equation dP/dx = 0.
P = 81x² -x³
dP/dx = 162x -3x² = 3x(54 -x) = 0
The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...
P is maximized at (x, y) = (54, 27).
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.
The geometric sequence 81, 27, 9, 3, … has common ratio:
r = 27/81 = 1/3
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
Find out more on equation at: brainly.com/question/2972832
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