X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
So you get 6x+3(3x-5)=15
=6x+9x-15=15
add 15 on both sides to get the x's alone and add the x's together.
6+9=15 -- 15+15=30
15x=30
30/15 =2
x=2
Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
Answer:
<u>Part A: Cost for the flooring is $ 4,231.50</u>
<u>Part B: Cost for the flooring is $ 5,531.50</u>
Step-by-step explanation:
Step 1:
Let's calculate the area of the living/dining room, this way:
Area = 26 * 25
Area = 650 ft²
Step 2:
Let's calculate the cost of the flooring if Nancy installs it:
Cost = $ 6.51 * Area of the living/dining room
Cost = 6.51 * 650
<u>Cost = $ 4,231.50</u>
Step 3:
Let's calculate the cost of the flooring if the flooring company installs it:
Cost = $ 8.51 * Area of the living/dining room
Cost = 8.51 * 650
<u>Cost = $ 5,531.50</u>
Answer:
(1,0)
Step-by-step explanation:
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0)
