Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
Answer:
The equation in standard form is 
Step-by-step explanation:
The distance from (-1, 12) to (-1, 8) = 4 = diameter of the circle. So, 2 = radius
The center of the circle is at (-1, 10)
The equation in standard form is
Answer:
$918.02
Step-by-step explanation:
As each tire costs $213.99, you will be multiplying that by 4:
$213.99*4 = $855.96
Now you will have to add the tax to the price. You will do the following:
$855.96*.0725 = 62.0571
You will round that to $62.06
$855.96+$62.06
The total would be $918.02
Answer:
3.5
Step-by-step explanation:
500 x 7
3500/1000
3.5
Percentage of pages of a book read by Katie = 32%
Total number of pages of the book read by Katie = 80
Let us assume the number of pages that the book has = x
Then
(32/100) * x = 80
32x = 80 * 100
32x = 8000
x = 8000/32
= 250
So the book has a total of 250 pages in it.
Then
The number of pages that Katie still needs to read = 250 - 80
= 170
So Katie needs to read 170 more pages in the book.
