Answer:
19. (-∞,-5)U(-5,2)U(2,∞)
20. (-∞,-6)U(-6,4)U(4,∞)
21. (-∞,10)U(-10,3)U(3,7)U(7,∞)
Step-by-step explanation:
To summarize these three equations, ignore the numerators for every three equations listed, flip the + and - for each side to get the x values. You have to put the values from smallest to largest in order to state the domain. You need this sign -> U for the answers.
Since LM = AM, point M must be on the perpendicular bisector of AL. Since AM = BM, BL must be perpendicular to AL. This makes ∆ALC a right triangle with hypotenuse AC twice the length of side AL. Hence ∠LAC = ∠LAB = 60°, and AL is angle bisector, median, and altitude.
ΔABC is isosceles with ∠A = 120°, and ∠B = ∠C = 30°.
Answer:
h'(0) = 82
Step-by-step explanation:
h(x) = g(x)f(x), meaning
h'(x) = g'(x)f(x) + f'(x)g(x)
h'(0) = g'(0)f(0) + f'(0)g(0)
h'(0) = (6)(7) + (8)(5) = 42 + 40 = 82
4.5 + 4 + 5.25 = 13.75 miles in total (13 and 3/4)
Answer:
a. $1360
b. $8.50 per hour
Step-by-step explanation:
a.
5 couches upholstered, each 105 equals 5 * 105 = 525
6 loveseats upholstered, each 85 equals 6 * 85 = 510
5 chairs upholstered, each 65 equals 5 * 65 = 325
Hence, total pay = 525 + 510 + 325 = $1360
b.
To find hourly rate, we take total amount and divide it by number of hours.
1360/160 = $8.5 per hour
Hence, hourly rate is $8.50 per hour