X = -1162.5
Subtract 2,401 from both sides.
0 = 76 - 2401 - 2x
0 = -2325 - 2x
Add 2x on both sides.
2x = -2325
Divide both sides by 2.
x = -2325 / 2
x = -1162.5
There is the answer.
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Answer:
x = 1,5 cm
h = 6 cm
C(min) = 135 $
Step-by-step explanation:
Volume of the box is :
V(b) = 13,5 cm³
Aea of the top is equal to area of the base,
Let call " x " side of the base then as it is square area is A₁ = x²
Sides areas are 4 each one equal to x * h (where h is the high of the box)
And volume of the box is 13,5 cm³ = x²*h
Then h = 13,5/x²
Side area is : A₂ = x* 13,5/x²
A(b) = A₁ + A₂
Total area of the box as functon of x is:
A(x) = 2*x² + 4* 13,5 / x
And finally cost of the box is
C(x) = 10*2*x² + 2.50*4*13.5/x
C(x) = 20*x² + 135/x
Taking derivatives on both sides of the equation:
C´(x) = 40*x - 135*/x²
C´(x) = 0 ⇒ 40*x - 135*/x² = 0 ⇒ 40*x³ = 135
x³ = 3.375
x = 1,5 cm
And h = 13,5/x² ⇒ h = 13,5/ (1,5)²
h = 6 cm
C(min) = 20*x² + 135/x
C(min) = 45 + 90
C(min) = 135 $
The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
<h3>
What is a factor?</h3>
A factor is a number that completely divides another number.
In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.
The numbers that can divide a number exactly are called factors.
There is none left over after division as a result.
The numbers you multiply together to produce another number are called factors.
A factor is hence the division of another number.
So, we have the expression: x³-5x²-2x+24
Now, calculate the factors as follows:
x³-5x²-2x+24
We already know that: P(-2) = 0
Hence, x+2 is a factor.
Now, other factors are: x² - 7x + 12
x² + 4x + 3x + 12
(x - 3)(x - 4)
Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
Know more about the factors here:
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Correct question:
What is the factor of x³-5x²-2x+24?
Answer: 532 games
Step-by-step explanation:
Subtract 62 from 594
Answer
The answer is 50 degrees because the measurement does not change even though it moves 1000 times.
Step-by-step explanation: