Answer:
c
Step-by-step explanation:
i just took it
The difference quotient and simplification will be = [4 -h-2x]
The given equation is as follows: f(x)= 4x - x²
For finding the quotient and further simplification we must follow the following steps:
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
<h3>What is simplification of algebraic operations?</h3>
Getting the functions in their lowest terms is known as simplification.
Brackets will get open and solved further;
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h
Finally dividing the whole equation with h;
= [4 - h - 2x]
Learn more about algebraic operations,
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# SPJ1
Just divide -30 m/s (the change in velocity) by 12 seconds (the time required for the car to come to a stop):
-30 m/s
----------- = - 2,5 m / (sec)^2 (answer)
12 sec
OK. A proportional relationship will graph as a straight line passing through the origin. Or in the case of a table the value y/x will remain constant.
So for the 1st problem, create a table of the hourly pay that Josiah and Tillery get for their first 5 years. To start you off, the 1st 2 years will be:
Year 1: Josiah = 14, Tillary = 7
Year 2: Josiah = 16, Tillary = 9
Now for each year, calculate the value of Josiah's pay by Tillary's pay. If the relationship is proportional, you'll get the same value every time. Put that value into the table as well.
And for the 2nd problem, simply graph a line with the number of text messages per boy and per girl. Have the x-axis represent text messages per boy and the y-axis represent text messages per girl. Make a few points for various numbers of messages, and draw a line through those points.
Is the resulting line straight? If it's straight, does it pass through (0,0)?
6x - y = 31 so y = 6x - 31
substitute y = 6x - 31 into 3x + 7y = 8
3x + 7y = 8
3x + 7(6x - 31) = 8
3x + 42x -217 = 8
45x = 225
x = 5
y = 6x - 31
y = 6(5) - 31
y = 30 - 31
y = -1
answer
x = 5 and y = -1
