3 4/5 because when you make the denominators equal by multiplying 1/4 by 5 on both sides and 4/5 by 4 and both sides you will get 5/20 and 16/20
Answer: 25x² - 64
<u>Step-by-step explanation:</u>
(5x + 8)(5x - 8)
= 5x(5x - 8) + 8(5x - 8)
= 25x² - 40x + 40x - 64
= 25x² + 0x - 64
= 
NOTE: descending powers means the biggest exponent goes first, then the next biggest exponent, etc.
For example: x⁴ then x³ then x² then x then the number (which is actually x⁰)
Answer:
The correct answer would be C
Step-by-step explanation:
Looking at the data, you can tell that the first two are going to be wrong. The minimum is 1, and the maximum is 5.
A mode, by definition, is the number that appears most in the data. According to answer D, 3 appears 3 times in the data. That is incorrect, as 3 only appears twice in the data.
This leaves only answer C. We need to make sure it's correct. The answer mentions the mean as a value between 2 and 3. Mean is the average. To find the average, you must add all the values together first.
1 + 2 + 5 + 3 + 2 + 2 + 5 + 3 = 23
Then, you must divide the value by the number of data given. There are 8 numbers here, so you must divide 23 by 8.
23/8 = 2.875
2.875 is between the numbers 2 and 3 like answer C said, so C is correct.
Answer:
12
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2+ b^2=c^2
In our case, we know b, which is 5 and c which is 13.
If we plug that into the equation, we get a^2+ 5^2 = 13^2
Next, we simplify the equation. a^2 + 25 = 169
Then we subtract 25 from 169. 169 - 25 = 144.
Lastly, we do the square root of 144 and we get 12 which is the missing side.
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
