Answer:
-8x^12
Step-by-step explanation:
When you have an exponent outside of parenthesis, it is raising everything in the parenthesis to that exponent (in this case, the third). The first step to solve this is to multiply the exponents in the parenthesis by 3. This is called the power of a power rule.
-2 is being raised to the first power. 1x3 = 3, and x is being raised to the fourth power. 4x3 = 12, so you now have:
-2^3x^12
You can simplify -2^3: -2 x -2 x -2 = -8
This leaves you with -8x^12
You can check this by putting -8x^12 and (-2x^4)^3 into a graphing calculator. You know that you simplified correctly if they show the same graphs.
The maximum number of miles you could drive would be 300.
Multiply 0.15 by 300 and that adds up to $45. 45 + 55 = $100
An equation to explain this would be
y = 55 + 0.15x
y represents your $100 budget, 55 is the initial rental fee, and if you plug 300 in for x that solves your equation.
Answer:
Step-by-step explanation:
A ladder 5 meters long leans against a wall. The top of the ladder is 4 meters above the ground. The
ladder makes an approximate angle of 53° with the ground. This will not be correct because in the process of calculating the angle , we have
tanФ = 10/6.2
= 1.6129
Ф =
1.6129
= 58.20
And it was not mentioned in the statement that the angle was approximated.
2. A ladder 5 meters long leans against a wall. The top of the ladder is 4 meters above the ground. The
ladder makes an approximate angle of 53° with the ground. This is correct , because the calculation will give an approximate answer of 53
3. A ladder 6 meters long leans against a building. The ladder makes an angle of 60' with the ground. The
ladder reaches approximately 5.2 meters up the wall. This is also correct because the calculation will give an approximate answer of 5.2
Greetings!Simplify the Expression.
Distribute the Parenthesis.
<em>How?</em> <span>Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
</span>


Combine Like Terms.

Reduce to Lowest Terms.
The Answer Is:
![\left[\begin{array}{ccc}=6c-6\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%3D6c-6%5Cend%7Barray%7D%5Cright%5D%20)
Hope this helps.
-Benjamin