Answer:
See attachment for plot
Step-by-step explanation:
Given
--- increment in the rate
First, we need to model the new rate
A linear equation is:
Where
Compare and . we have:
The above represents the previous rate.
The new rate:
Rewrite as:
So, the model is:
<u>The plot at 1 and 2 minutes</u>
When 
When 
So, we have:
<em>Whether she moves backwards or forward, the distance covered remains the same</em>
<em>See attachment for plot</em>
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)
Answer: 3:10
Step-by-step explanation:
From the question, b= 3; c=10
Ratio of b:c will be
the value of b:value of c
=3:10
I hope you understand
Let x = the number of hours Eva needs to complete the job
and y = the number of hours Emily needs to complete the job
x = 6
1/x + 1/y = 1/4
(The amount of work Eva does in 1 hr + the amount of work Emily does in 1 hr should equal 1/4 of the total work)
1/6 + 1/y = 1/4
1/y = 1/12
y = 12 hours
Emily would take 12 hours to do it by herself.
Remember that there are 16 cups in a gallon.
The pipe leaks 1.5 cups each day, so in one week, or 7 days, the cup leaks 1.5 times 7 cups, which equates to 10.5 cups per week.
To find this number in gallons, divide 10.5 by 16.
This equals .65625 gallons per week.
Hope this helps!
~Chrys
