Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
Answer:
Step-by-step explanation:
We have:
And we want to find B’(6).
So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:
We can move the constant outside:
Now, we will utilize the product rule. The product rule is:
We will let:
Then:
(The derivative of u was determined using the chain rule.)
Then it follows that:
Therefore:
By simplification:
So, the slope of the tangent line to the point (6, B(6)) is -28.17.
The answer is indeed 3,725.90. The reason why is because <span>with each adjustment, you take the remaining balance and calculate a fixed rate loan for the remaining time period at the new rate. When you follow that procedure with the data you already have, you get that answer.</span>
Hey there!
Our function is:
f(x) = 4^x
If we want to have f(3), we simply can plug in 3 to our answer, and evalutate from there:
f(x) = 4^3 =
4*4*4 =
16*4 =
64
We just calculated 4 to the fourth power, which is four times four times four times four. Therefore, 4 of four is equal to 64.
Hope this helps!
Answer:
c/d = 6
Step-by-step explanation:
Use the second equation.
c - 6d = 0
Add 6d to both sides.
c = 6d
Divide both sides by d.
c/d = 6