Quotient rule says we can divide 192 and 3 because they are both under the radical. This gives us the square root of 64.
We can also divide x^3 and x to get x^2.
The square root of 64x^2 is 8x
18/6 = 3
So the temperature dropped 3 degrees each day.
Hope this Helps!!
Answer:
C. 
Step-by-step explanation:
Given problem is
.
Now we need to evaluate the given limit.
If we plug
, into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule
take derivative of numerator and denominator





=2
Hence choice C is correct.
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
464 divide by 16 is 29. So y would be 29