Answer:
15 24/25
Step-by-step explanation:
The product of 4 and x -> 4x
six less than the product of 4 and x -> 4x-6
Answer:
Discriminant: 0; 1 real solution
Step-by-step explanation:
To find the discriminant use the formula: b^2 - 4ac.
In this quadratic equation, 9x^2 - 12x + 4 = 0,
Substitute these values into the discriminant equation.
(-12)^2 - 4(9)(4)
Evaluate the exponent and multiply 4 * 9 * 4.
144 - 144
Subtracting these two numbers together gives you 0; the discriminant is 0.
Based on this discriminant you know that there is only 1 real solution to the quadratic equation.
Answer:
i actuaaly dont know im sorry
Answer:
a) V(x) = x ( 60 -2x )( 15-2x )
b) 0.55 inches ≤ x ≤ 6.79 inches
c) x ≥ 6.79 inches
Step-by-step explanation:
Given data:
No top, cardboard dimensions ; 15-in by 60-in
a) A function for the volume of the box as a function of x the Volume can be represented by this function below
= V(x) = x ( 60 -2x )( 15-2x )
where : x = height , ( 60 - 2x ) = length , ( 15 -2x ) = width
b) determine x so that the volume of the box ≥ 450 inches
450 = x( 60 - 2x ) ( 15 -2x ) ( solving the equation )
0.55 inches ≤ x ≤ 6.79 inches
c ) The value of x for which volume of the box is maximum
will be x ≥ 6.79 inches