Answer:
2. y = x + 16; 0.21y = 0.27x + 2.88
Step-by-step explanation:
You have two conditions:
- Volume of 18 % + volume of 27 % = volume of 21 %
- Mass of acid in 18 % + mass of acid in 27% = mass of acid in 21 %
For the first condition,
16 + x = y Transpose
(1) y = x + 16
=====
For the second condition
V₁c₁ + V₂c₂ = V₃c₃
16×0.18 + 0.27x = 0.21y
2.88 + 0.27x = 0.21y Transpose
(2) 0.21y = 0.27x + 2.88
The system of equations is y = x + 16; 0.21y = 0.27x + 2.88
A quadratic equation is an equation whose leading coefficient is of second degree. The time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.
<h3>What is a quadratic equation?</h3>
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The jump is represented by the equation h(x)= -16x²+4x+6. The time is represented by x, now the height of the athlete will be zero when the jump will be completed therefore, we can write,
0 = - 16x² + 4x + 6
0 = - 16x² + 12x - 8x + 6
0 = -4x(4x-3) -2(4x-3)
0 = (-4x-2)(4x-3)
x = -0.50, 0.75
Since the time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.
Learn more about Quadratic Equations:
brainly.com/question/2263981
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2(wl+hl+hw)=2·(6·4.5+12·4.5+12·6)=306
