Answer:
(x+1)(x+8)
Step-by-step explanation:
I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.
Answer:
a) Key words: 65,500 and 49,632
b) 65,500 - 49,632
c) The answer is 15868 seats are left
8-x(y)
or in words 8 minus x times y do the 8 minus x first then the times y
Answer:
(x, y) = (4, 3)
Step-by-step explanation:
The first equation gives an expression for y that can be substituted into the second equation:
3(2x -5) -x = 5
5x -15 = 5 . . . . . . simplify
5x = 20 . . . . . . . .add 15
x = 4 . . . . . . . . . . divide by 5
y = 2(4) -5 = 3 . . substitute for x in the first equation
(x, y) = (4, 3)
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Solution by graphing confirms this result.
Answer: Choice A
g(x) = sqrt(2x)
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Explanation:
"sqrt(x)" is shorthand for "square root of x"
f(x) = 3x^2 is given
g( f(x) ) = x*sqrt(6) is also given
One way to find the answer is through trial and error. This would only apply of course if we're given a list of multiple choice answers.
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Let's start with choice A
g(x) = sqrt(2x)
g( f(x) ) = sqrt(2 * f(x) ) .... replace every x with f(x)
g( f(x) ) = sqrt(2 * 3x^2 ) .... plug in f(x) = 3x^2
g( f(x) ) = sqrt(6x^2 )
g( f(x) ) = sqrt(x^2 * 6)
g( f(x) ) = sqrt(x^2)*sqrt(6)
g( f(x) ) = x*sqrt(6)
We found the answer on the first try. So we don't need to check the others.
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But let's try choice B to see one where it doesn't work out
g(x) = sqrt(x + 3)
g( f(x) ) = sqrt( f(x) + 3)
g( f(x) ) = sqrt(3x^2 + 3)
and we can't go any further other than maybe to factor 3x^2+3 into 3(x^2+1), but that doesn't help things much to be able to break up the root into anything useful. We can graph y = x*sqrt(6) and y = sqrt(3x^2 + 3) to see they are two different curves, so there's no way they are equivalent expressions.
