From the problem,
x is the number of quarts of Tuscan sauce and
y is the number of quarts of marinara sauce

We add the following variables
t as the number of tomatoes
c as the number of cups of oil
z is the total profit

The constraints are the following
x = 6t + c
y =5t + 3c
6t + 5t ≤ 45
c + 3c ≤ 10
z = 4x + 5y
where z is to be maximized

8 0

4 years ago

Read 2 more answers

2. A line goes through the points (7,8) and (3, 10).

Luda [366]

The formula of a slope (m):

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (7, 8) and (3, 10). Substitute:

$m=\dfrac{10-8}{3-7}=\dfrac{2}{-4}=-\dfrac{1}{2}$

a) point-slope form:

$y-y_1=m(x-x_1)$

Substitute:

$y-8=-\dfrac{1}{2}(x-7)$

b) slope-intercept form:

$y=mx+b$

$y-8=-\dfrac{1}{2}(x-7)\qquad|\text{use distributive property}\\\\y-8=-\dfrac{1}{2}x+\dfrac{7}{2}\qquad|\text{add 8}=\dfrac{16}{2}\ \text{to both sides}\\\\y=-\dfrac{1}{2}x+\dfrac{23}{2}$

4 0

4 years ago

Find the sum.<br> 6(2k – 2) + (7k + 5)

zubka84 [21]

Answer:

Your answer is: 19k - 7

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

6 0

4 years ago

Read 2 more answers