The limit of a product is equal to the product of limits:
You should recognize the first limit, which has a value of 1. In the second limit, the expression 
is continuous at 
, so its value is -1, and so the overall limit has a value of 1*(-1) = -1.
<h3>
answer</h3>
=$1406.25
Step-by-step explanation:
3.5 hours=3 ½ hours
3 ½ hours + 4 hours
= 7 ½ hours
$18.75 per hour
$18.75 × 7 ½ hours
=$281.25
$281.2× 5
=$1406.25
Answer:
8x + 2y = 7
2y = -8x + 7
y = -4x + 7/2; this line has slope equal -4
Parallel lines, slope is the same so slope of parallel line is also -4
A. y − 1 = 4(x + 8); slope m = 4....FALSE
B. y = −4x + 15; slope m = - 4....TRUE
C. 16x + 4y = 9; 4y = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE
D. y = −4x; slope m = - 4....TRUE
Step-by-step explanation:
<h3>
Answer: 180 degrees</h3>
note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.
========================================
Explanation:
The rule for 180 degree rotations is
(x,y) ---> (-x, -y)
So the x and y coordinates flip in sign from positive to negative, or vice versa.
Point D ' (-3, 5) rotates to D ' (3, -5) following this rule
-----------------
A further detailed break down might look like this
x = -3 becomes -x = -(-3) = 3
y = 5 becomes -y = -5
(-3, 5) ----> (3, -5)
The primitive function for 
is given by it's indefinite integral.
To calculate it, recall:
Let's begin
To find the costant, we just need to use the fact that 
Therefore,
