Answer:
The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.
40% of 270 is 108 because first you divide 40/100and you get 0.4 then you multiply that by 270 and you get 108
Answer:
C. 45x + 1,500 > 3,750
Step-by-step explanation:
You know he has already started on his paper with 1,500 words and he needs to have more words than 3,750 in his final paper which includes the 1,500. Thus, he would have 45x number of words remaining in his paper, according to his speed of 45 words per minute.
Remaining words + 1,500 words must be more than 3,750.
45x + 1,500 > 3,750
The > sign means that something on the left is more than something on the right.
Answer:
The first derivative of
is
.
Step-by-step explanation:
We proceed to find the first derivative of
by explicit differentiation and rule of chain:



The first derivative of
is
.
Answer:
Looking at this, slope seems to be 2 for the graph
So, looking at your options, -4 is less than 2, therefore, the answer is
D, with slope -4