Multiply both sides of the equation by 12
Answer:
15x^2-32x+9
Step-by-step explanation:
(3x – 1)(5x – 9)
FOIL
first: 3x*5x= 15x^2
outer: 3x(-9) = -27x
inner: -1(5x) = -5x
last: -1(-9) = 9
Add them together
15x^2 -27x-5x +9
Combine terms
15x^2-32x+9
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P = 4x + 2y
additional info.
<span>x+2y <u><</u> 10
y <u><</u> 2
x <u>></u> 0
y <u>></u> 0
y can only be 0, 1, and 2.
x + 2(0) <u><</u> 10 = x <u><</u> 10
x + 2(1) <u><</u> 10 = x + 3 <u><</u> 10 = x <u><</u> 10 - 3 = x <u><</u> 7
x + 2(2) <u><</u> 10 = x + 4 <u><</u> 10 = x < 10 - 4 = x <u><</u> 6
x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28
The maximum value of P is 40. Where x is 10 and y is 0.</span>
Answer:
I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.
Step-by-step explanation:
a^2+b^2=c^2 Substitute the values for a and c
24^2+b^2=30^2 Solve for the powers
576+b^2=900 Subtract 576 from both sides
b^2=324 Solve for the root of 324
18=b
You would need 18 inches of material to cover one side of the suitcase.
