Answer:
Step-by-step explanation:
Let
x-----> the cost of his lunch
y----> the cost of his dinner
we know that
-----> equation A
---> equation B
substitute equation B in equation A
-----> the cost of the dinner
time taken to make bed = 15.75 hours
time taken to make a coffee table = 6.375 hours
time taken to make a dresser = 9.5 hours
Total time =
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
It will read the same at F = -40.
Answer: B) No; the remainder is 234, so (x+3) is not a factor.
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Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).