Answer:
(x² + 4)(x - 3)
or
A
Step-by-step explanation:
Step 1: Write out expression
x³ - 3x² + 4x - 12
Step 2: Factor by grouping
x³ - 3x²
x²(x - 3)
4x - 12
4(x - 3)
Step 3: Combine
(x² + 4)(x - 3)
City Carpet and Flooring advertises that they can install 1,200 square feet
of carpet in 2 hours. Select whether each installation rate has the same
unit rate, in square feet per hour, as City Carpet and Flooring. 7.RP.1,7.NS.3
Yes No
0
0
0
0
960 square feet of carpet in 2 hours
1,000 square feet of carpet in 12 hours
320 square feet of carpet in hour
Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = 
thus,
Therefore, applying the above property, we get
⇒ 
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ 
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ 
or
⇒ 5
Hence,
log₅(3125) = 5
1 + 109
2 + 108
3 + 107
4 + 106
(...)
106 + 4
107 + 3
108 + 2
109 + 1
There are 109 such pairs - unless you don't want to count the combinations of the same numbers but in different order (e.g. 50 + 60 and 60 + 50) - then there are 55 such pairs (up to 55 + 55).
You can also count 0 - sometimes we treat it as a whole number, sometimes we don't - then add two pairs (0 + 110 and 110 + 0) to the 109 pairs result, or 1 pair for 55 pairs result.
I hope it's quite understandable :)
