Answer:
(s-6)/r
option D
Step-by-step explanation:
The slope-intercept form a line is y=mx+b where m is the slope and b is the y-intercept.
Compare y=mx+b and y=cx+6, we see that m=c and c is the slope.
Now we are also given that (r,s) is on our line which means s=c(r)+6.
We need to solve this for c to put c in terms of r and s as desired.
s=cr+6
Subtract 6 on both sides:
s-6=cr
Divide both sides by r:
(s-6)/r=c
The slope in terms of r and s is:
(s-6)/r.
It's 1/7 e 7 x. the seven and the x are exponents.
Answer:
7 18-inch wreaths
26 22-inch wreaths
Step-by-step explanation:
Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.
We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:
y = 5 + 3x
We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:
20x + 25y = 790
Now, let's substitute 5 + 3x in for y in the second equation:
20x + 25y = 790
20x + 25(5 + 3x) = 790
20x + 125 + 75x = 790
95x + 125 = 790
95x = 665
x = 7
Plug this value into y = 5 + 3x to find y:
y = 5 + 3x
y = 5 + 3 * 7 = 5 + 21 = 26
So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.
Answer: ![\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
Step-by-step explanation:
Properties of logarithm :



The given expression in terms of Natural log : 
This will become
[ By using Property (3)]

[
]
[ By using Property (1)]
Hence, the simplified expression becomes
.
Answer: (0, -6)
Explanation:
6x - 6 = -4x - 6
10x = 0
x = 0
y = 6(0) - 6
y = 0 - 6
y = -6