V = lwh
2x³ + 17x² + 46x + 40 = l(x + 4)(x + 2)
2x³ + 12x² + 16x + 5x² + 30x + 40 = l(x + 4)(x + 2)
2x(x²) + 2x(6x) + 2x(8) + 5(x²) + 5(6x) + 5(8) = l(x + 4)(x + 2)
2x(x² + 6x + 8) + 5(x² + 6x + 8) = l(x + 4)(x + 2)
(2x + 5)(x² + 6x + 8) = l(x + 2)(x + 4)
(2x + 5)(x² + 2x + 4x + 8) = l(x + 4)(x + 2)
(2x + 5)(x(x) + x(2) + 4(x) + 4(2)) = l(x + 4)(x + 2)
(2x + 5)(x(x + 2) + 4(x + 2)) = l(x + 4)(x + 2)
(2x + 5)(x + 4)(x + 2) = l(x + 4)(x + 2)
(x + 4)(x + 2) (x + 4)(x + 2)
2x + 5 = l
Answer:
Step-by-step explanation:
Use the zero-interval test [test point (0, 0)] to verify them as false or true, and to determine whether we shade the shared opposite portions [a shared portion that does NOT contain the origin] or the shared portions that DO contain the origin:
![\displaystyle 0 < -3[0] - 2 → 0 ≮ -2](https://tex.z-dn.net/?f=%5Cdisplaystyle%200%20%3C%20-3%5B0%5D%20-%202%20%E2%86%92%200%20%E2%89%AE%20-2)
So, this system will be shaded in a shared opposite portion.
*NOTE; Both inequalities have an identical y-intercept of ![\displaystyle [0, -2],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%20-2%5D%2C)
so both inequalities must intersect the y-axis at and since there are already lines labeled as <em>dashed</em><em> </em>and solid, we do not have to worry about it in this case.
** None of the other graphs match this, so the bottom right graph has to be it, considering it cut off.
I am joyous to assist you anytime.
Answer:
8
Step-by-step explanation:
12+4=16
16 divided by 2= 8
Answer: x = 4
or x= -2/3 = -0.667
Step-by-step explanation:
Which number(s) from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if any, will solve this equation?
satela [25.4K]
We are given that:
2x + 3 = 5x - 3
We will solve the given to get the value of x as follows:
2x + 3 = 5x - 3
3 + 3 = 5x - 2x
6 = 3x
x = 6/3
x = 2
Now, we will check te given set to see if 2 belongs to the set or not. We will find that 2 is an element in the given set.
Therefore, the correct choice is:
A) {2}
hope this helps :)
