The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = ( , 3) and (x₂, y₂ ) = (- 4, - 1 )
m = = (- 4)/- =
partial equation is y = x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = - + c ⇒ c =
y = x + ← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
Given:
A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.
He has to sell between 5 and 10 bookcases each month in order to meet his sales goal.
To find:
The domain for this situation.
Solution:
We have,
where, f(x) is the amount earned be carpenter after selling x number of book cases.
Domain is the set of input values.
Here, input values are number of books he has to sell, which can be a fraction value.
Since, he has to sell between 5 and 10 bookcases each month in order to meet his sales goal, therefore the x values must be integers between 5 and 10.
Therefore, the domain for this situation is set of integers between 5 and 10, i.e., {5,6,7,8,9,10}.
100000 can't go into 3 because it is too big.
Answer:
$91.14
Step-by-step explanation:
11.76 (7) = 82.32
11.75 (.75) = 8.82