Answer:
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
Step-by-step explanation:
From the graph we can see that there is a whole in the graph at x=-2.
This is referred to as a point discontinuity.
Similarly, there is point discontinuity at x=8.
We can see that both one sided limits at these points are equal but the function is not defined at these points.
At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.
Answer:
2x+15=75
Step-by-step explanation:
Let the temperature of chicago be x
75-15=2x
Reversing the equation
2x+15=75
Answer:
x=-3
Step-by-step explanation:
(3x-15)/2 = 4x
Multiply each side by 2
(3x-15)/2 *2= 4x*2
3x-15 = 8x
Subtract 3x from each side
3x-15-3x = 8x-3x
-15 = 5x
Divide each side by 5
-15/5 = 5x/5
-3 =x
Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation

A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.





Hence, The beam hit dolphin at 5 feet.
Draw a picture of the yard, rectangle. On the two long sides, write 28 yards and on the two shorter ones, just write a question mark.
To figure out perimeter, you need to add up each side.
P = Perimeter
L = Length
W = Width
P = L(2) + W(2)
If the length is 28, double it. = 56
Now subtract that from the perimeter - 88-56=32
32 is what you have left, so now split that, and replace the question marks.
All-in-all each width is 16 yards, while each length is 28, making the whole rectangle have a perimeter of 88 yards.