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ollegr [7]
3 years ago
15

What is the location of point R on the number line? 14/5, 16/5, 18/5, 22/5

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

Answer: 14/5

Step-by-step explanation:

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What is the explicit formula for this geometric sequence? 8, 4 2, 1
11Alexandr11 [23.1K]

Answer:

C

Step-by-step explanation:

The standard form for the explicit formula of a geometric sequence is given by:

a_n=a\cdot(r)^{n-1}

Where a is the initial term, r is the common ratio, and n is the nth term.

Our sequence is: 8, 4, 2, 1...

So, we can see that our initial term or a is 8.

Each subsequent term is half of the previous one. So, our common ratio is 1/2.

Let's substitute 8 for a and 1/2 for r to acquire:

a_n=8\cdot(\frac{1}{2})^{n-1}

So, our answer is C.

And we're done!

3 0
3 years ago
Wayne needs to drive 470 miles to reach Milwaukee. Suppose he drives at a constant speed of 50 miles per hour. Which function re
lawyer [7]
The answer is B (470 + 50x)
3 0
3 years ago
a class of 54 students is divided into equal groups for orientation each group should have at least 7 students but no more than
Dennis_Churaev [7]

2 students more were introducced in the class and each group had 8 people

8 0
3 years ago
2(3 – 4a) + 5(a – 7) what are the steps to solve this? please.
Doss [256]
2(3-4a) + 5(a-7) first do the distributive property
6-8a + 5a-35 now combine like terms
-41 - 3a is the final answer
7 0
3 years ago
Read 2 more answers
The image of F(-5,-9) after translating along <4, 6 > and then translating along < 3, 5> is? F’(?,?)
dusya [7]
<h3>Answer:  (2, 2)</h3>

==============================================

Explanation:

The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"

In general, "translated along <m,n>" is the same as writing (x,y) \to (x+m, y+n). If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.

-------------

With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.

We can say

(x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\

Showing that (-5,-9) moves to (-1,-3)

This is after the first translation, but there's a second translation.

We'll apply the same idea, but different numbers this time

(x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\

So (-1,-3) moves to (2,2)

Overall we have

  • (-5,-9) move to (-1,-3) after the first translation
  • (-1,-3) move to (2,2) after the second translation

Therefore, the original point ends up at (2,2) which is the final answer

--------------

Extra info:

A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.

5 0
3 years ago
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