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
Answer: sec (75) or csc (15)
Step-by-step explanation:
255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.
Reference angle for 255 is,
255 - 180 = 75 degrees.
Therefore, sec (255) = sec (75)
= csc (90 - 75) = csc (15)
Answer: x = 16°
Step-by-step explanation:
- This is a right triangle, which means all angles add up to 180°.
- One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.
This means (x+26)° + 3x° = 90°.
Solve for x:
x + 26 + 3x = 90
x + 3x = 90 - 26
4x = 64
x = 64 ÷ 4 = 16°
Answer:
160
Step-by-step explanation:
is there 240 seventh graders in total? If so all you have to do is:
240 x 2/3
which equals 160 seventh graders.
