Answer:
135 minutes
Step-by-step explanation:
Let
y -----> the number of pages to finish reading the book
x ----> the number of hours
we know that
The linear equation in slope intercept form is equal to
where
m is the unit rate or slope of the linear equation
b is the y-intercept or initial value
In this problem we have
<em>Xanthia</em>
----> the slope is negative because is a decreasing function
For y=0
substitute and solve for x
---> Xanthia's time to finish reading the book
<em>Molly</em>
----> the slope is negative because is a decreasing function
For y=0
--- Molly's time to finish reading the book
To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time
Convert to minutes
Multiply by 60
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
2x^3(x+7)(x-7)
Thats the answer for your question!
Answer: 65000$ worth of things
This is edited, because I got it backwards last time.
We need to make 2500, but she only makes 4% of whatever she sells.
That means the equation is
2500 = 0.04x
Now, we just need to divide both sides by 0.04 and we get 65000.
Sorry for the confusion.
