Answer:
1.39285714286
Step-by-step explanation:
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
Rules in adding fractions:
1) Make sure that they have common denominator.
5/10 + 3/10
2) Since both fraction have a denominator of 10, add the numerator and place the sum above the denominator
5/10 + 3/10 = (5 + 3)/10 = 8/10
3) Simplify the fraction
8/10 can still be simplified into 4/5
8 ÷ 2 = 4
10 ÷ 2 = 5
5/10 + 3/10 = 4/5
Answer:
445 dollars
Step-by-step explanation:
You are given he charges 47.5 per hour so 47.5x is how much you will pay for x hours and he charges a 65 dollar service fee.
So together he is charge you 47.5x+65 for x hours.
If it spends 8 hours, the cost will be 47.5(8)+65=445.
The correct one is multiplication.
-- Take the number of square miles.
-- Multiply it by the fraction (5,280 feet / 1 mile)² .
-- After canceling things where possible, simplifying, and
cleaning up the product, what you have is the same area
expressed in square feet.
