Answer:
42 1/3
Step-by-step explanation:
add.
1. As x approaches 1, f(x) approaches 3-1, that is 2.
If a = 2 and b = 3, f(1) = 2(1)^2 + 3(1) = 5
So there is a 'jump' in values of x at x = 1. So its not continuous at x=1.
2. For continuity at x = 1, ax^2 + bx must = 2 that is when a + b = 2.
3. for continuity at x = 2 , ax^2 + bx must be = 0 that is when a*2^2 + 2b = 0
- that is 4a + 2b = 0.
4. we have system of equations:-
a + b = 2
4a + 2b = 0
this gives a = -2 and b = 4 So f(x) is continuous when a = -2 and b = 4.
Answer:
$72.25
Step-by-step explanation:
85 x 15/100
85 x 0.15= 12.75
85- 12.75=
72.25
Answer: The cost for one hamburger is $2.5
Step-by-step explanation:
Let x represent the cost of one hamburger.
Let y represent the cost of one fry.
The tennis coach took his team out for lunch and bought eight hamburgers and five fries for $24. This means that
8x + 5y = 24- - - - - - - - - - - -1
The players were still hungry so the coach bought six more hamburgers and two more fries for 16.60. It means that
6x + 2y = 16.6- - - - - - - - - - 2
Multiplying equation 1 by 6 and equation 2 by 8, it becomes
48x + 30y = 144
48x + 16y = 132.8
Subtracting, it becomes
14y = 11.2
y = 11.2/14
y = 0.8
Substituting y = 0.8 into equation 1, it becomes
8x + 5 × 0.8 = 24
8x + 4 = 24
8x = 24 - 4 = 20
x = 20/8
x = 2.5
