Answer:
Step-by-step explanation:
m =
y -
= m( x -
)
y = mx + b
~~~~~~~~~~~
(4, 5)
( - 6, 15)
m = (15 - 5) / ( - 6 - 4 ) = - 1
y - 5 = ( - 1)( x - 4 )
y =<em> (- 1) </em>x + <em>9</em>
Hello from MrBillDoesMath!
Answer:
8
Discussion:
Let the number be "n". Then the question states that
3n - 15 = (n/2) + 5 => multiply both sides by 2
6n - 30 = n + 10 => subtract n from both sides
5n - 30 = 10 => add 30 to both sides
5n = 30 + 10 = 40 => divide both sides by 5
n = 40/5 = 8
Thank you,
MrB
Answer:
y = x² − 6x − 27
Step-by-step explanation:
To distribute, you can use something called FOIL. It stands for First, Outer, Inner, Last.
First, multiply the First term in each factor.
x · x = x²
Now multiply the Outer terms in each factor.
x · 3 = 3x
Next multiply the Inner terms in each factor.
-9 · x = -9x
Finally, multiply the Last terms in each factor.
-9 · 3 = -27
Add them all up:
x² + 3x − 9x − 27
x² − 6x − 27
Answer:

Step-by-step explanation:
Given

Required
Evaluate when n = 12
Substitute 12 for n in 

Simplify the fraction


Answer:
y=16 x=1
Step-by-step explanation:
For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.