18x+9xy (9x⋅2)+(9x⋅y <span>(9x⋅2)+(9x⋅y You multiply 9x times 2 and then 9x times y. Because a(b+c) = ab + ac</span>
A) The peak of the curve has coordinates (3, 45). Thus the maximum is 45 hundred dollars. It occurs when 3 hundred dollars are spent on advertisiing.
The maximum possible monthly profit of the shop is about $4500.
b) The x interval over which P(x) is greater than zero appears to be 0 to 10 hundred dollars. What is not clear from the question is whether the expected answer is (0, 10) or (0, 1000).
c) The maximum profit is earned when $300 is spent on advertising.
Answer:
x=60°
Step-by-step explanation:
angle 135° and (2x+15)° are corresponding and thus are equal
Therefore (2x+15)°=135°
2x=135-15
2x=120°
X=60°
First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
- a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
- b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>
Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
- <u>First combination; (600, 300)</u>
Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
- <u>Second combination; (300, 600)</u>
Learn more about inequalities here:
brainly.com/question/22976364
