Answer:
or 
Step-by-step explanation:
we have
step 1
Group terms that contain the same variable
step 2
Combine like terms
step 3
Eliminate parenthesis
step 4
Factor the number 
Y = f(x) = 8x^2 - 2x + 3
a.) dy/dx = 16x - 2
b.) dy = (16x - 2)dx
dy = (16(2) - 2)(2 - 1.97) = 0.03(32 - 2) = 0.03 * 30 = 0.9
dy = 0.9
c.) (8(2)^2 - 2(2) + 3) - (8(1.97)^2 - 2(1.97) + 3) = 31 - 30.1072 = 0.8928
Δy = 0.8928
i think this is the answer
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
Answer:
10 buses are needed.
9 buses will only be able to take 468 people.
Explanation:
There are 461 + 20 = 481 people altogether needing transport. Each bus can take at most 52 people. The number of buses needed =
482 ÷ 52.
482 ÷ 52 = 9.25 buses. You might be tempted to round down to 9 buses (because of the 2 that follows the decimal) However, if there are 9 buses,
9 × 52 = 468 people can be taken There will still be
13 people to be transported. This is an example of where you need to round UP to the next whole number.
10 buses are needed. In reality it means that not all the buses will be full, but 10 buses are needed to ensure that everyone gets a ride to the museum.
