Answer:
Our system of equations is:
We are looking for x
Let's express y using x
Replace x in the second equation with the result
- 4y-4x²-12x = -7
- 4(-2x-1)-4x²-12x = -7
- -8x-4-4x²-12x = -7
- -8x-4x²-12x = -7+4
- -4x²-20x = -3
- -4x²-20x+3 = 0 multiply by -1 to get rid of the - signs with x
- 4x²+20x-3=0
4x²+20x+3=0 is a quadratic equation
Let Δ be our discriminant
Δ= 20²-4*4*(-3)
Δ=448 > 0 so we have two solutions for x
let x and x' be the solutions
- x =
= -5.145 ≈ -5.15 - x'=
= 0.145≈ 0.15
so the solutions are:
-5.15 and 0.15
Answer:
They need to sell 9400 pies to reach the break-order point
Step-by-step explanation:
* Lets explain the break-order point
- The break-order point is the point at which total cost and total
revenue are equal
∴ The total cost = The total revenue
* Lets solve the problem
∵ The equation of the total cost is y = 0.65x + 1410
∵ The revenue equation is y = 0.8x
- To find the break-order point equate the two equations
∴ 0.65x + 1410 = 0.8x
- Subtract 0.65x from both sides
∴ 1410 = 0.8x - 0.65x
∴ 0.15x = 1410
- Divide both sides by 0.15
∴ x = 1410/0.15 = 9400
∵ x is the number of pies
* They need to sell 9400 pies to reach the break-order point
Hello,
J (-2,1), K (4,3), and L (-2,-5)
<span>Area of triangle: 18.00
</span>
REMEMBER: <span>Notice that one side is vertical. Use that side as base.
</span>
Once again, Your answer is 18.
Hope this helps
Answer:
Step-by-step explanation:
So since each question is 5% (100/20=5)
we can do ((13*5)/2) because of half credit we divide by two
now we get 32.5% back
32.5%+35%=67.5%
unless of course of extra points on other assignments, the highest grade you can get in that class (if every other thing is a 100%) is an 87 if im not mistaken.