For this case we have the following expression:

Using law of exponents we have:

We use the definition to rewrite the given expression
Rewriting we have:

Answer:
The rewritten expression is given by:

Answer: 40x^4 + 56x^3 − 16x − 14
Step-by-step explanation:
1. For any two functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.
2. The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.
3. Simplify
4. Multiply 4x^2 + 7x^1 times 6x^2
5. Multiply 2x^3 - 2 times 8x^1 + 7x^0
6. To multiply powers of the same base, add their exponents.
7. Simplify
8. Combine like terms
9. For any term t, t^1 = t
10. For any term t except 0, t^0 = 1
Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
Answer:
in order so the line can pass through those point the equation has to be:
Y=6/3x+0
As points, x-intercepts take the form

, so to find the intercepts we can set

and solve for

.

From the first equation alone, we already know that

is a solution, which means one intercept is

.
The second equation gives

so that the second intercept occurs at

.
So if

and

, we have

, giving C as the answer.