Answer:
On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.
Step-by-step explanation:
0.85x
x represents how many dozens
0.85(51) = 43.35
The given equations are
12x + 4y = 152 ...........1
32x + 12y = 420 .....2
Multiplying equation 1 by 3 to make coefficient of y same we have:
36x+12y= 456
32x+12y=420
Subtracting the two equations we have:
4x=36.
Dividing by 4 both sides
x= 9.
Substituting x value in equation 1
12(9) + 4y = 152
108+4y=152
Subtracting 108 both sides: 4y=44.
Dividing both sides by 4.
y=11.
cost of the vegetarian lunch is $11.
In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.
Answer:
x=-2 x=-1
Step-by-step explanation:
f(x)=x² +3x+2
Set the function equal to zero
0=x² +3x+2
Factor
What 2 numbers multiply to 2 and add to 3
2*1 = 2
2+1 = 3
0 = ( x+2) (x+1)
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Isolate the r. Note the equal sign. What you do to one side, you do to the other.
Divide i from both sides
e/i = ir/i
r = e/i
r = e/i is your answer
hope this helps
Since you are given two equations
y = 2x - 5
y = x^2 - 5
Substitute into one of the equations...,
;x^2 - 5 = 2x - 5
;x^2 - 2x = -5 + 5
; x^2 - 2x = 0
Hence you factorise the equation..,
; x(x - 2) = 0
Hence....x = 0 and 2
And for the value of y
; Substitute with the value of x onto one of either equations
for...x = 2
;y = 2(2) - 5....y = -1
for...x = 0
;y = 2(0) - 5....y = -5