The given equation with t -1 is:
(t – 1)^3 + 6 (t – 1)^2 + 12 (t – 1) + 8
Expand each term before combining for easier visualization:
(t – 1)^3 = t^3 – 3 t^2 + 3t – 1
6 (t – 1)^2 = 6 t^2 – 12 t + 6
12 (t – 1) = 12 t - 12
Then substitute and combine:
-> t^3 – 3 t^2 + 3t – 1 + 6 t^2 – 12 t + 6 + 12 t – 12 + 8
t^3 + 3 t^2 + 3 t + 1 (ANSWER)
Answer:
The time taken by Allan to complete the marathon 3.5 hours
Step-by-step explanation:
Given as :
The distance cover in marathon = d = 26.2 miles
∵ 1 mile = 1.609 km
So, d = 26.2 × 1.609 km
i.e d = 42.155 kilo meter
The average speed of Allan = s = 12 km per hour
Let the time taken by Allan to complete the marathon = t hours
Now, ∵ Time = 
Or, t = 
Or, t = 
or, t = 3.512 hours
So , The time taken by Allan to complete the marathon = t = 3.5 hours
Hence, The time taken by Allan to complete the marathon 3.5 hours Answer
Answer: Height = 4 centimeters
Area = 144 cm^2
Step-by-step explanation:
So we know that on a rectangle opposite sides are equal in distance.
If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.
36 + 36 = 72 centimeters
The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:
80 - 72 = 8
The sum of the remaining sides is 8 so divide it between the two and that is the height.
8/2 = 4
I'm not sure what the question wants so here is pretty much everything:
Height: 4 cm
Area: 144 cm^2
Answer:
Step-by-step explanation:
Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.
Examples
(a) 
From above, we have a power to a power, so, we can think of multiplying the exponents.
i.e.


Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.
SO;


Let's take a look at another example

Here, we apply the
to both 27 and 


Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.
∴
![= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)](https://tex.z-dn.net/?f=%3D%20%5CBigg%20%28%5Csqrt%5B3%5D%7B27%7D%5E%7B5%7D%20%5Ctimes%20x%5E%7B10%7D%20%7D%5CBigg%29)


Answer:
hope this helps.
Step-by-step explanation:
You don't really need to get them in the y format.
make a table and plug some numbers in and graph those points
use a ruler to connect the dots.
y = -3 is a horizontal line