Answer:
8t(t - 5)^2
Step-by-step explanation:
I would immediately rearrange these terms in descending order by powers of t:
8t^3 - 80t^2 + 200t
Then I'd factor out 8t:
8t(t^2 - 10 t + 25).
Finally, I'd factor the quadratic t^2 - 10 t + 25:
(t - 5)^2
and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.
y = x + 1
Sammy wants to train in the gym. Registration in a city gym costs $ 1. The gym fee is $ 1 per day.
We define the variables:
x = number of days.
y = full payment of the gym after x days.
Answer:
The slope represents the cost per day of the gym.
m = 1 $ / day
The intersection with the y-axis represents the inscription in the gym.
b = 1 $
<h3>
Answer: -29</h3>
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Work Shown:
f(x) = 6x + b
f(5) = 6(5) + b .... replace every x with 5
f(5) = 30 + b
1 = 30 + b ..... replace f(5) with 1, since f(5) = 1 was given.
1-30 = 30 + b - 30 .... subtract 30 from both sides
-29 = b
b = -29
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The function f(x) = 6x+b turns into f(x) = 6x+(-29) which is equivalent to f(x) = 6x-29
Plugging in x = 5 leads to
f(x) = 6x-29
f(5) = 6(5) - 29
f(5) = 30 - 29
f(5) = 1
So we have confirmed the answer.
Answer:
x=4x+7=
x=5=
Step-by-step explanation:
