How much does 3.25m of lace cost if 0.8m costs $5.60?
1 answer:
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The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots - 6x³ + 9x² = x - 2
Add two to both sides
→ - 6x³ + 9x²+2 = x - 2 +2
→ - 6x³ + 9x²+2 = x
Subtract X from both sides
→ - 6x³ + 9x²+2 -x = x -x
→ - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a + bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
brainly.com/question/25841119
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Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209