Answer: 44°
Step-by-step explanation:
Measures of the angles of a triangle
= 180°
Therefore, 180 - 105 + 31 = 44°
Answer:
y=1/4 x +11
Step-by-step explanation:
So this is a word problem but it isn't too bad to figure what they want: They are looking for a line that is perpendicular to y=-4x-6 and goes through (-4,10).
So we are looking for an equation whose slope is the opposite reciprocal of the given equation's slope.
The given equation has a slope of -4
The opposite reciprocal of -4 is 1/4 so that is the slope of our new line.
So we know our equation is in the form of y=1/4 x+b
Now we are given that this line should go through (-4,10) so plug it in to find b.
10=1/4 * (-4)+b
10=-1+b
11=b
So the equation is y=1/4 x+11
y=7m+6
subtract 6 from each side
y-6 = 7m
divide by 7
(y-6)/7 =m
A = 6b
divide by 6
A/6 = b
A. 8 x 10^ -4
D. 3 x 10^ -2
Revenue=quantity x price= (-2p+1000) (p)= -2p^2+1000p
The maximum revenue will occur when the first derivative is zero so when 2(-2p)+1000=0;p=250
Which generates 125,000 in revenue
Try prices of 245 and 255 and you will see they both are less than 250 thereby proving the max revenue is 250
