Answer: The slope is 4x.
Step-by-step explanation: First, subtract 4y from both sides to get 16x-4y=1. Next, subtract 16x from both sides to get -4y=-16x+1. Finally, divide all terms by -4 to get y=4x-0.25. The slope is represented by 4x.
Answee:
We have these two equations:
-2x +4y =-22
2x + 8y -26
We need to try to get the same number multiplying both x or y, I think we can make the 2 of the first equation negative, for that, we multiply all the equation by -1:
2x + 8y =-26 ---- -2x - 8y =26
Now we have this:
-2x +4y = -22
-2x -8y = 26
Now e substract both equations:
-2x - (-2x) +4y -(-8y) = -22-26
12y = -48
Y = -48/12 = -4
And we replace to get x
-2x + 4y = -22
-2x +4*(-4)=-22
-2x - 16 = -22
x= -6/-2 =3
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
129407 is the answer. Hope I helped : )
Given:
The polynomial 
is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
Therefore, the remainder is -9.
