Answer:
The laptop will not fit in the case.
Step-by-step explanation:
We need to find the width of the laptop to know if it fits in the case. We have:
<u>For the laptop</u>:
h: is the height of the laptop = 10 inch
d: is the widescreen of the laptop (diagonal) = 17 inch
w: is the width of the laptop =?
<u>For the laptop case</u>:
H: is the height of the laptop case = 10.5 inch
W: is the width of the laptop case = 13 inch
So, the width of the laptop can be found by using Pitagoras:
Hence, the laptop is 13.7 inches wide.
Therefore, since the laptop is wider than the case, the laptop will not fit in the case.
I hope it helps you!
Answer:
Step-by-step explanation: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).
If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
Answer:
a. Yes
b. Yes
c. Yes
d. Degree 8
Step-by-step explanation:
a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.
b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.
c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:
which as can be seen, also contains variables raised to positive integers.
d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8
Therefore the degree of this polynomial is 8.
Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12
