There is no solution to this system of equations; they will never spend the same amount.
The system of equations would be
We want one of the variables to have the same coefficient; we will make the coefficients of p be the same. To accomplish this, we will multiply the top equation by 3 and the bottom equation by 2:
When we subtract the equations to cancel p, we also cancel d in the process, leaving us
0 = 8
Since this is never true, there is no solution to the system.
Answer: 1/2
Step-by-step explanation:
the formula for a line is y = mx + b
m is the slope. so in the line y = 1/2x + b
1/2 is our m and therefore that’s the slope
Answer:
(a-1) *(a^2 +a-1) (a+2)
Step-by-step explanation:
a^4+2a^3-a-2
Lets factor by grouping
a^4-a + 2a^3-2
Factor out an a from the first group and a 2 from the second group
a(a^3 -1) +2(a^3-1)
Factor out (a^3-1)
(a^3-1)(a+2)
We need to recognize that a^3-1 is the difference of cubes
(x^3-y^3) = (x-y) (x^2+xy+y^2)
Let x=a and y=1
(a-1) *(a^2 +a-1) (a+2)
Answer:
$65 + $(-25) = $40
$65 - $25 = $40
Step-by-step explanation:
Profit made last week = $65
Profit made this week = - $25
Addition expression for her profit over the two weeks
Last week profit + this week's profit:
$65 + $(-25) = $40
Subtraction expression for her profit over the two weeks :
$65 - $25 = $40