Answer:
20
Step-by-step explanation:
Let's start by rewriting the second equation in terms of "x":
Subtract y from both sides:
Now, substitute "5-y" for "x" in the first equation:
Note that:
Cancel out like terms:
Subtract 25 from both sides:
Divide both sides by -10
Now, substitute this value back into either of the equations to solve for x.
Add 15/2 to both sides:
Now, find the difference:
1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground
I'm assuming the 59% achievement means, markup, so hmmmm well, if the bananas cost him $0.24 or 24cents per pound, so a markup of 59% is just 59% of 0.24 then.
whatever% of anything is just (whatever/100) * anything.
therefore, 59% of 0.24 is just (59/100) * 0.24, or 0.1416.
so, if we add 0.1416 to the 0.24, the selling price will be 0.3816, or just 38cents per pound of bananas.
Answer:
- 2
Step-by-step explanation:
3 ( x + 5 ) = 9
x + 5 = 9 / 3
x + 5 = 3
x = 3 - 5
x = - 2