Answer:
y = - 3x + 4
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 )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (0, 4)
m = 
= 
= 
= - 3
The line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line
Solve the equation for both -1 and 1 first.
50(1/2)^-1 = 100
50(1/2)^1 = 25
Now subtract the two answers and divide by 2 ( -1 to 1 is 2)
75/2 = 37.5
Because the answer got smaller from -1 to 1, the change would be negative.
The rate of change would be -37.5
Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
Answer:
Thanksss
Step-by-step explanation:
:)
Combinations of 7 taken 4 at a time.
C (7,4) = 7! /[ 4!(3!)]
7 x 6 x 5 = 210
210 divided by 3 = 70
70 divided by 2 = 35
