Answer: $200
Step-by-step explanation:
Given: In 1 year ,
Linda's parents spend $2400 on cable and internet service.
If they spend the same amount each month, Monthly payment = 
![=\dfrac{\$2400}{12}\ \ \ [\text{Number of months in a year}=12]\\\\=\$200](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5C%242400%7D%7B12%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BNumber%20of%20months%20in%20a%20year%7D%3D12%5D%5C%5C%5C%5C%3D%5C%24200)
Hence, the resulting monthly change in the family's income = $200
Answer:
x^2 -11x +30 = 0
Step-by-step explanation:
If these two integers are solutions of the quadratic, then its factors are ...
(x -5)(x -6) = 0
Multiplying this out, we get ...
x^2 -11x +30 = 0
Answer:
37.5 square units
Step-by-step explanation:
A=a+b/2h => 5 + 10 / 2 x 5
The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;
- Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.
- Maximum volume of the box is approximately 1048.6 in.³
<h3>How can the dimensions and volume of the box be calculated?</h3>
The given dimensions of the cardboard are;
Width = 18 inches
Length = 35 inches
Let <em>x </em>represent the side lengths of the cut squares, we have;
Width of the box formed = 18 - 2•x
Length of the box = 35 - 2•x
Height of the box = x
Volume, <em>V</em>, of the box is therefore;
V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x
By differentiation, at the extreme locations, we have;

Which gives;

6•x² - 106•x + 315 = 0

Therefore;
x ≈ 4.55, or x ≈ -5.55
When x ≈ 4.55, we have;
V = 4•x³ - 106•x² + 630•x
Which gives;
V ≈ 1048.6
When x ≈ -5.55, we have;
V ≈ -7450.8
The dimensions of the box that gives the maximum volume are therefore;
- Width ≈ 18 - 2×4.55 in. = 8.89 in.
- Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.
- The maximum volume of the box, <em>V </em><em> </em>≈ 1048.6 in.³
Learn more about differentiation and integration here:
brainly.com/question/13058734
#SPJ1
Answer:
abc are correct
Step-by-step explanation:
i took the test