Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]
Answer: 895 phones
Step-by-step explanation:
Given that :
The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997
y = number of camera phones ; x = number of years since 1997
The number of camera phones shipped in the year 2002 can be obtained thus ;
x = 2002 - 1997 = 5 years
y = 1.28e^(1.31 * 5)
y = 1.28e^6.55
y = 1.28(699.24417)
y = 895.03254
y = 895 phones
Answer:
x = 27
Step-by-step explanation:
Given
= 3
Multiply both sides by 9 to clear the fraction
x = 9 × 3 = 27
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
Answer: -1t + 720
Step-by-step explanation:
He worked at both jobs for 90 hours for this month.
He worked t hours as a tutor which means that as a waiter he worked;
= 90 - t hours
The amount earned is therefore;
= 7t + (8 * (90 - t))
= 7t + 720 - 8t
= -1t + 720
