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Liula [17]
3 years ago
15

The points -4 and 5 are plotted on a number line. What is the distance, in units, between the two points?

Mathematics
1 answer:
Anni [7]3 years ago
5 0

The distance between two numbers is the absolute value of their difference.

Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:

d=|-4-5|=|-9|=9

d=|5-(-4)|=|5+4|=|9|=9

So, the two points are 9 units away.

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Find the sum of the series 9+3+1+........+1/27​
Elina [12.6K]

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

 

The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

                                32(3-1)n-1 = 3-3

 

                                3231-n = 3-3

 

                                    33-n = 3-3

 

                                      3-n = -3

 

                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

4 0
3 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
iragen [17]

Answer:

"The range of the function is all real numbers less than or equal to 9."

Step-by-step explanation:

For this question the domain is (-∞,∞)

The range is all numbers less than 9 (the y-coordinate of the vertex)

The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)

Therefore the answer is "The range of the function is all real numbers less than or equal to 9."

8 0
3 years ago
What's 5 + 5 × 10 - 88 + 200 - 1​
Mars2501 [29]

Answer:

=50x+116

Step-by-step explanation:

5+5x(10)−88+200−1

=5+50x+−88+200+−1

Combine Like Terms:

=5+50x+−88+200+−1

=(50x)+(5+−88+200+−1)

=50x+116

8 0
3 years ago
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If your highway gas mileage is 26 and you take a trip that is 600 miles how much gas will you use​
blondinia [14]
Answer: 23.07 gallons of gas
8 0
3 years ago
Select the quadratic that has the roots x=8 and x=-5
mart [117]
The quadratic that has the roots x=8 and x=-5 is 
x^2-3x-40

Hope this helps you! (:
-Hamilton1757
8 0
4 years ago
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