Answer:
Step-by-step explanation:
1. Jump discontinuity
In the graph, you can see that the left-hand limit of g(x) as x⟶ 8 is 3 and the right-hand limit is -3.
When the left- and right-hand limits at x = 8 exist but are different, we say that g(x) has a jump discontinuity at .
2. Other discontinuities
At x = 10, the left-hand limit is ∞ and the right-hand limit is -∞. Both one-sided limits are infinite, so this is an infinite discontinuity.
At x= 1, both one-sided limits are equal, but g(1) does not exist,
At x= 4, the limits are equal, and g(4) = 3.
In each case, the holes can be removed by redefining g(x), so the holes are removable discontinuities.
95 is the answer and I don’t know the rest
If he wants to walk the same distance everyday, you should divide the number of miles on the days.
150/31 = 4.8 miles per day
Answer:
y = - 2x - 3
Step-by-step explanation:
We know: y=ax^2+bx+c
Given: (2, 5), (3, 12), and (-1, -4)
so...
We plug in these numbers:
5 = a*(2^2) + b*2 + c
12 = a*(3^2) + b*3 + c
-4 = a*((-1)^2) + b*(-1) + c
simplify:
5 = 4a + 2b + c
12 = 9a + 3b + c
-4 = a - b + c
Solve this 3 variable system
Combine 5 = 4a + 2b + c and -4 = a - b + c
-8 = 2a - 2b + 2c from multiplying the equation -4 = a - b + c by 2
5 - 8 = 4a + 2a + 2b - 2b + c + 2c
-3 = 6a + 3c
-1 = 2a + c
next multiply -4 = a - b + c by 3
-12 = 3a - 3b + 3c add to 12 = 9a + 3b + c
-12 + 12 = 3a + 9a + -3b + 3b + 3c + c
0 = 12a + 4c
0 = 3a + c
combine -1 = 2a + c and 0 = 3a + c
1 = -2a - c
0 + 1 = 3a - 2a + c - c
1 = a
so... -1 = 2*1 + c
-1 = 2 + c
c = -1 -2 = -3
use equation -4 = a - b + c , solve for b
-4 = 1 - b + (-3)
-4 = -2 - b
b = -2 + 4 = -2
so a = 1, b = -2, c = -3
y = x^2 - 2x - 3
y = - 2x - 3
There are <span>5,789,700
hope im right </span>