Answer:
We can express the equation for any linear equation with slope -2 and point (x0,y0) as:
Step-by-step explanation:
Incomplete question:
There is no point to complete the equation.
As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.
The linear equation can be written generically as:
If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:
Then, we can calculate b as:
We can express the equation for any linear equation with slope -2 and point (x0,y0) as:
Answer:
The salt concentration of the mixed solution = 10%
Step-by-step explanation:
First assuming that the concentration of salt given is on a vol% basis.
First solution has 0.7 gallon of 5% salt
Amount of salt in this solution = 5% × 0.7 = 0.035 gallon
Second solution has 0.3 gallon of 22% salt
Amount of salt in this solution = 22% × 0.3 = 0.066 gallon
Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon
Total volume of the resulting solution = 0.7 + 0.3 = 1.00 gallon
Concentration of the mixture of salt = (0.101/1) = 0.101 = 10.1% = 10% to the nearest percent
Hope this Helps!!!
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
Answer:
$66
Step-by-step explanation:
The meal cost $50 without taxes.
The cost of tax:
$50*%14= $7
so she will pay a $7 tax
Also, she wants to tip %18 of the original $50 so:
$50*%18= $9
so she will tip $9
$50 + $7 + $9 = $66
