Answer:
Step-by-step explanation:
by idetity : (a - b)²= a² +b² -2ab
for : (x² - 5)² you have a = x² and b = 5
(x² - 5)²= (x²)²+5² - 2(5)(x²)
(x² - 5)²= x^4+25 -10x²
Answers:
- A) The equation is d = 2t
- B) Independent variable = time; dependent variable = amount of cookies
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Explanation:
The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.
The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.
The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.
Triangles have 3 vertices. The total is 21 vertices. 21 / 3 = 7. He drew 7 triangles.
We are given f(x) = 5x
and we are to find inverse of f(x).
Step 1:
Replace f(x) by y.
So,
y = 5x
Step 2:
Isolate x
So,
x = y/5
Step 3:
Replace x by f'(y)
So,
f'(y) = y/5
Step 4:
Replace all occurrences of y by x.
So,
f'(x) = x/5
Therefore, the inverse of f(x) = 5x is f'(x) = x/5
