She worked 4 days on the food drive because to do math with these two fractions, you have to give them the same denominator. So, 12 2/3 becomes 12 4/6. Then, how many times does 3 go into 12? 4 times so the answer is 4. Hope this helped :)
Answer:
A. y = -3/2x + 1
B. y = -5/3x + 10
C. y = -x + 6/5
Step-by-step explanation:
A. You just have to isolate the y so divide by 4: y = -3/2x + 1
B. 3y = -5x + 30
Divide by 3: y = -5/3x + 10
C. -5x + 6 = 5y
Divide by 5: -1x + 6/5 = y OR y = -x + 6/5
Answer:
Step-by-step explanation:
square-based pyramid:
volume V = (⅓)b²h
= (⅓)7²·16
≅ 261.3 ft³
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Can't help with question 3. I haven't learned triangle-based pyramids.
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cone:
volume V = ⅓πr²h
= ⅓π17²·20
= 6052.8 yd³
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can't help with question 7. Never did this kind of pyramid.
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
The answers from questions 6 to 9 are A, C, D, and C.
