Answer:
8. X = 10.5 and 19. X = 5
Step-by-step explanation:
8. You know that a triangle interior angles should add up to 180° so:
(10x - 11) + (3x - 2) + (3x + 1) = 180
180 = 16x - 12
168 = 16x
The you divide each side by 16:
168 ÷ 16 = 16x ÷ 16
X = 10.5
10. You know that a straight line equals 180° and interior angles add up to 180° so:
1st you do 180 - 151 = 29°
2nd (11x - 1) + (20x - 3) + (29) = 180
180 = 31x + 25
155 = 31x
The you divide each side by 31:
155 ÷ 31 = 31x ÷ 31
X = 5
Answer: 272 square feet
Step-by-step explanation:
We must find the total area of the backyard then subtract the area of the not allowed area from it. Clearly, the length and width of the backyard is 22 and 17ft respectively, so the total area is 22*17=374ft^2.
The restricted space can be seen as two rectangles, both with width 3 and length 17, making their area 2(17*3) =102
374-102= 272
Answer:
The answer will be 33
Step-by-step explanation:
No explanation
Answer:
The demand function is 
Step-by-step explanation:
A firm has the marginal-demand function
.
Find the demand function given that D = 16,000 when x = $4 per unit.
What we are required to do is to find the demand function D(x);
If we integrate D'(x) with respect to x ; we have :


Let represent t with 
The differential of t with respect to x is :



replacing the value of
for dt in 
So; we can say :




Let's Recall that :
t = 
Now;

GIven that:
D = 16,000 when x = $4 per unit.
i.e
D(4) = 16000
SO;





16000 = 1200 (3) + C
16000 = 3600 + C
16000 - 3600 = C
C = 12400
replacing the value of C = 12400 into
, we have:

∴ The demand function is 