9514 1404 393
Answer:
Sam is 24; his mom is 48.
Step-by-step explanation:
We can let x and y represent Sam's age and his mom's age, respectively.
y = 2x . . . . . Mom is twice Sam's age
y -12 = x + 12 . . . . Mom's age 12 years ago is the same as Sam's age 12 years from now
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Substituting for y in the second equation, we have ...
2x -12 = x + 12
x = 24 . . . . . . . . . add 12-x to both sides
y = 2(24) = 48
Sam is 24; his mom is 48.
Vertical line (when y = 0)
⇒ Equation : x = -1
Horizontal line (when x = 0)
⇒ Equation : y = -8
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Answer: x = -1, y = -8
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<span>f(x) = 3x + 3; f(33)
f(33) = 3(33) + 3
f(33) = 99 + 3
f(33) = 102</span>
Answer:
(t^2 -4) (t^2 +4)
(t-2)(t+2)(t^2+4)
Step-by-step explanation:
t^4 - 16
We can write this as the difference of squares
We know the dfference of squares is
(a^2 - b^2) = (a-b) (a+b)
( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4)
We can write t^2 -4 as the difference of squares
t^2 -4 = t^2 -2^2 = (t-2)(t+2)
Replacing this in
( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4) = (t-2)(t+2)(t^2+4)
Answer:
31.63
Step-by-step explanation:
19.63 plus 12
