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chubhunter [2.5K]
4 years ago
6

alisia goes to the gym every 3 days Luis goes to the gym every 4 days they both are at on the 12th day what is the next day they

will both be at the gym​

Mathematics
1 answer:
jenyasd209 [6]4 years ago
6 0
24th is the answer, you just double the 12 because it’s both a number 3 and 4 go into
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Quadratic form is given in the form
y= ax^{2}+bx+c, where a, b, and c are constants

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12= a(8)^{2}+b(8)+c
12=64a+8b+c ... Equation 1

3=a(5)^{2}+b(5)+c
3=25a+5b+c ... Equation 2

Equation 1 - Equation 2 gives
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We also know that (5, 3) is the turning point of the curve, where the value of x is given by x=- \frac{b}{2a}
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5=- \frac{b}{2a}
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Substitute Equation 4 into Equation 3
39a+3b=9
39a+3(-10a)=9
39a-30a=9
9a=9
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Now we need to work out the value of b and c

Substitute a=1 back into equation 4
-10a=b
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Substitute a=1 and b=-10 into either equation 1 or equation 2

64a+8b+c=12
64(1)+8(-10)+c=12
64-80+c=12
c=12+80-64
c=28

Hence the equation of the quadratic curve is
y= x^{2} 10x+28


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Factor completely p^4-81
kobusy [5.1K]
(p^{2}-9)(p^{2}+9) = p^4+9p^{2}-9p^{2}-81 = p^{4}-81

The left side of the equation is what you get if you apply the "foil" method to the middle. This is the first step. Now the left-hand side is only partially factored, because you can still factor one of the remaining terms. Notice that one of the terms on the left has a similar form to that of the original question p^4-81. You can apply the same method I did to that term and then you will have fully factored p^4-81. You should have 3 factors in the end. Hope this helps!
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