Which expression represents the product or x3+2x-1 and x4 - x3+3?
1 answer:
Answer:
4th option
Step-by-step explanation:
(x³ + 2x - 1)( - x³ + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x³( - x³ + 3) + 2x(
- x³ + 3) - 1 (
- x³ + 3) ← distribute parenthesis
= -
+ 3x³ + 2
- 2
+ 6x -
+ x³ - 3 ← collect like terms
= -
+ 2
- 3
+ 4x³ + 6x - 3
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Answer:
p(t) = 0 for t = 1
p(t) = 1 for t = 1/8 = 8^-1
Step-by-step explanation:
the graph you will have to do yourself.
just go there and type in
well, don't type "log" in letters.
you start by typing the "-" sign, and then you need to look up the functions by clicking on the "funcs" button and look for the log functions .
pick the
option. and then simply enter 8 as the first parameter in the {} brackets and x as the second in the () brackets.
and then you see.
any logarithm is 0 for x (or t) = 1.
because any a⁰ = 1.
and the logarithm gives you that exponent of the base number that leads to the given x value.
in other words : a logarithm is the inverse function of an exponential function.
the exponential function is
y = a^x
and the logarithm then determines
that is all.
and
means that the logarithm itself delivered -1.
and 8^-1 = 1/8
so, p(t) = 1 for t = 1/8