Answer:
x = 65
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
x² = 25 × 169 = 4225 ( take square root of both sides )
x = 
= 65
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
We know the rational zeros theorem such as:
if 
is a zero of the function 
,
then 
.
As the is a polynomial of degree 
, hence it can not have more than real zeros.
Let us put certain values in the function,
, 
, 
, 
,
, 
, 
, 
, 
From the above calculation results, we determined that zeros as
and 
.
Hence, we can check that
Observe that,
, increases rapidly, so there will be no zeros for 
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Answer:
92 miles
Write an inequality for the total cost of the rental.
Cost of the rental = 19.50+0.25x<=44
where x is the number of miles driven.
Subtract 19.50 from both sides.
0.25x<=44-19.50
0.25x<=24.5
x<=24.5/0.25
x<=98
Step-by-step explanation:
A study of 600 college students taking statistics 101 revealed that 54 students received the grade of
a. Typically 10% of the class gets an A
b. The difference between this group of students and the expected value is not significant at the 0.05 level. what does this mean in this case?
Your answer would mean that, =====> The probability of getting an A is 10% and only 9% got an A, in this study. The difference is less than 5% therefore, in this case, it is not significant.
Hope that helps!!!! : )
Answer:$64 BEFORE TAX
Step-by-step explanation: Pretax price:$62.14
Sales tax:$1.86
Total price with sales tax:$64.00
