Write the equation Of a line in slope intercept form that passes through (-2,5) and is perpendicular to y=1/3x-2
1 answer:
Answer:
y = - 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
y = x - 2 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (- 2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = - 3x - 1 ← equation of perpendicular line
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Answer:
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.
Step-by-step explanation:
This problem can be solved by a system of equations.
The largest profit is going to earned when all the eggs and cups of cream in stock are used.
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:
Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.
So:
Simplifying by 3.
We have the following system
I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.