Answer:
(a) 36
(b) y = 36x-31
Step-by-step explanation:
(a) dy/dx = 18x
slope of tangent at (2, 41) = 18(2)
= 36
(b) using y-y1 = m(x-x1)
y-41 = 36(x-2)
y = 36x-31
Answer:
m <1 = 30
Step-by-step explanation:
The sum of the angles of a triangle add to 180
Let x be the unknown angle
75+75+x = 180
Combine like terms
150+x =180
Subtract 150 from each side
150-150+x = 180-150
x = 30
Answer:
Step-by-step explanation:
If she travels by air, she will be able to work seven hours in D.C. work four hours once there. Her expected income from each hour of work in D.C. is $40. This means that the total amount that she earns in 7 hours would be
40 × 7 = $280
if she drives, she will only have time to work four hours once there. This means that the total amount that she earns in 4 hours would be
40 × 4 = $160
The difference in both amounts would be
280 - 160 = $120
she will chose to fly if and only if the price differential (air cost minus driving cost) is less than $120
Answer: $19.60
Step-by-step explanation:
24.50 x 20% or (.20)= 4.90
24.50-4.90=19.60
$19.60 is the answer
Answer:
x=50
Step-by-step explanation:
note that 40% is 2/5
Therefore, 30 tomatoes is 1- 2/5 = 3/5
3/5 of the tomatoes last year is 30
lets say tomatoes = x
3/5 x = 30
divide by 3 on both sides
1/5 x = 10
multiply by 5 on both sides
x=50
:D
hope it helped :D