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Jet001 [13]
3 years ago
15

Prove a/b is less than b/a when 0 < a <b

Mathematics
1 answer:
enyata [817]3 years ago
7 0

\frac{a}{b} < \frac{b}{a} \implies \\ a^2 < b^2 \implies a-b

We are given that 0<a<b, which means that 0>-a>-b if you multiply it by -1, which means what's given by our inequality is true and we are done.

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Al goes 8 mph Ben goes 22 mph in the opposite direction. How many hours has ben traveled when they are 180 miles apart?
NeTakaya

after 6 hours Al and Ben will be 180 miles apart.

(22 * x) + (8 * x) = 180

x = 6 hours

3 0
3 years ago
A sequence is defined recursively by
Andrei [34K]

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  \begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  a_n=a_1\times r^{n-1}

For the values shown here, the explicit definition of the sequence is ...

  \boxed{a_n=4\times 34^{n-1}}

8 0
2 years ago
I'll give brainliest if you show your work. Plz answer quickly.
makvit [3.9K]
I'm pretty sure the answer is 2.9 because It's closer to 3 than 2

8 0
3 years ago
Read 2 more answers
Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar
BigorU [14]
Answer:
D.) 10 2/3 square feet
Step-by-step explanation:
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multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)
4 0
2 years ago
What are the x- and y-intercepts of the line 6x−y=10?
Elena-2011 [213]

Step-by-step explanation:

This equation is in Standard Form. To find the x and y intercepts, it is easier to convert it to slope-intercept form, or y = mx + b.

6x - y = 10

-y = -6x + 10

y = 6x - 10

In slope-interecept form, you can see that the y-int, b, is -10, the constant. To find x, set y to zero.

0 = 6x - 10

10 = 6x

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3 0
3 years ago
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