Answer:
the sum of 27,28,29,30 is 114
Step-by-step explanation:
They did not include the constraint for y ≤x+3 on the graph.
See attached picture with added constraint.
Using the 4 points that are given as the solution on the graph, replace t he x and Y in the original equation to solve and see which is the greater value.
Point (0,3) P = -0 +3(3) = 0+9 = 9
Point (1,4) P = -1 + 3(4) = -1 +12 = 11
Point (0,0) P = -0 + 3(0) = 0 + 0 = 0
Point (3,0) P = -3 + 3(0) = -3 + 0 = -3
The correct solution to maximize P is (1,4)
Problem 37
<h3>Answer: B. 4 & 1/4 gallons</h3>
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Work Shown:
The 3/4 and 1/2 add up to (3/4)+(1/2) = (3/4)+(2/4) = 5/4 = 1&1/4
The whole part 1 is then added to the other whole parts 1 and 2 to get 1+2+1 = 4
Overall, the grand total is 4 & 1/4
An alternative way is to convert each mixed number to a decimal to get 1&1/2 = 1+1/2 = 1+0.5 = 1.5 and 2&3/4 = 2+3/4 = 2+0.75 = 2.75
Add up those decimals 1.5+2.75 = 4.25
then convert that result to a mixed number: 4.25 = 4+0.25 = 4+1/4 = 4&1/4
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Problem 38
<h3>Answer: C. Cubic feet</h3>
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The units for volume follow the template "Cubic _____" where you'll write "feet", "inches", "centimeters" or whatever unit you are using in the blank.
Some other examples:
* cubic miles
* cubic meters
* cubic yards
Answer:
x = 5, x = -5 are your answers
Step-by-step explanation:
First, FOIL (First, Outside, Inside, Last)
(x + 4)(x - 4) = 9
x(x) = x²
x(-4) = -4x
4(x) = 4x
4(-4) = -16
x² - 4x + 4x - 16 = 9
Simplify. Combine like terms
x² (-4x + 4x) - 16 = 9
x² - 16 = 9
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Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 16 to both sides
x² - 16 (+16) = 9 (+16)
x² = 25
Next, isolate the x completely by rooting both sides
√(x²) = √(25)
x = √25
x = √25 = √(5 x 5)
x = √25 = √(-5 x -5)
x = 5 , -5
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x = 5, x = -5 are your answers
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