Answer:
y = 1/3x -2
Step-by-step explanation:
the equation for slope intercept form is y= mx + b.
m is the slope and b is where the line crosses the y-axis which is called the y-intercept.
to find the y-intercept plug in a coordinate on the line (6,0)
0 = 1/3(6) + b
then solve for b by first multiplying 1/3 by 6
0 = 2 + b
subtract 2 from both sides
-2 = b
and then you can plug b into the equation
y = 1/3x - 2
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
Answer:
The Total amount of of 33 boxes of chocolates including taxes is $838.358
Step-by-step explanation:
Given as :
The sales tax rate for city = 4.306%
The sales tax rate for the state = 44%
Total number of boxes = 33
The price of each chocolates = $17.13
So , The price of 33 boxes of chocolates = $17.13 × 33
I.e The price of 33 boxes of chocolates = $565.29
Now total tax including state and city = 4.306% + 44% = 48.306 %
So, The tax amount paid for 33 boxes of chocolates = 48.306 % of $565.29
∴ The tax amount paid for 33 boxes of chocolates = 48.306 % × $565.29
= 0.48306× $565.29
= $273.068
∴ The Total amount of of 33 boxes of chocolates including taxes = $565.29 + $273.068 = $838.358
Hence The Total amount of of 33 boxes of chocolates including taxes is $838.358 . Answer
