Answer:
x = 24
Step-by-step explanation:
x + 
x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
x + x = 36
Now we can calculate the numerators and keep the denominators the same.
x = 36
Find x.
x = 
× 36
x = 24
Answer:
a. V = (20-x) 
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
solution is (- 3, 5 )
Step-by-step explanation:
given the 2 equations
6x - y = - 23 → (1)
8x + 3y = - 9 → (2)
rearrange (1) expressing y in terms of x
y = 6x + 23 → (3)
Substitute y = 6x + 23 into (2)
8x + 3(6x + 23 ) = - 9
8x + 18x + 69 = - 9
26x + 69 = - 9 ( subtract 69 from both sides )
26x = - 78 ( divide both sides by 26 )
x = - 3
substitute x = - 3 into (3)
y = (6 × - 3 ) + 23 = - 18 + 23 = 5
solution is (- 3, 5 )
Answer: The Answer is B
Step-by-step explanation:
You need to distribute 15x(10x - 4). 15x times 10x is 150x and since there is 2 x's your gonna square it. So then it would be 150x². next 15x times -4 is -60 and add your x. Your answer is 150x² - 60x.
The mean, since it's the average of whatever your data is.
