Answer:
= 0
Step-by-step explanation:
Data provided in the question:
In(2x + 5) = In(x - 3)
we can rearrange the above equation as
⇒ In(2x + 5) - In(x - 3) = 0
now,
from the properties of natural log function, we know that
therefore,
we get
= 0
Hence,
Expression as the logarithm of a single quantity is = 0
The equation of the line is y=(4/5)x+1 in slope-intercept form.
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
Answer:
4 pages per hour
Step-by-step explanation:
Willie and Pedro are reading the same book. Willie read 108 pages in 3 hours, and Pedro read 160 pages in 5 hours.
We find how many pages per hour each of them read.
For Willie
Willie read 108 pages in 3 hours,
3 hours = 108 pages
1 hour = x
Cross Multiply
3x = 108 pages × 1 hours
x = 108 pages/3
x = 36 pages per hour
For Pedro
Pedro read 160 pages in 5 hours
5 hours = 160 pages
1 hour = x
Cross Multiply
5x = 160 pages × 1 hours
x = 160 pages/5
x = 32 pages per hour.
How many more pages per hour did Willie read?
This is calculated as:
36 pages/hour - 32 pages per hour
= 4 pages per hour
Step-by-step explanation:
Method 1
Do the factor like
6x
So the other factor is 3x+5
Method 2 We can divise 6x^2+x-15 by 2x-3 and we find the quotient 3x+5
Hope you understand
