2 years ago

What is the smallest possible slope for a tangent without using calculus?

1 answer:

4 0

It would probably depend on what you mean by "smallest". If it means "smallest in magnitude", then of course the smallest slope you can have is zero.

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

$\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA$

Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

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2 years ago

Find the x- and y-intercepts of the graph of each equation. (set x & y equal to 0; two different

bogdanovich [222]

X= 2 y=4 these are the intercepts

5 0

2 years ago

A towel has a repeating pattern of 2 green stripes then 3 blue stripes and then one yellow stripe with tell has 20 Stripes altog

Anna35 [415]

12 is the answer because when you add the green and blue you get 5 and 5×4= 20 so you multiply the blue by 4 and the green by 4 and add them together which = 20. so 3×4=12 and 2×4=8 so your answer is again 12

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3 years ago

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Misha Larkins [42]

Posting screenshot of my answer in the linked question in case it gets deleted.