Hey there! :)
Answer:
x = -4/3, 0, 4.
Step-by-step explanation:
Starting with:
6x³ - 16x² - 32x = 0
Factor out the greatest common factor between each term, or 2x:
2x(3x² - 8x - 16) = 0
Factor the expression inside the parenthesis:
2x(3x +4)(x - 4) = 0
Use the Zero Product Property to solve the equation:
2x = 0
x = 0
---------
3x + 4 = 0
3x = -4
x = -4/3
-------------
x - 4 = 0
x = 4
-------------
Therefore, the solutions to this equation are:
x = -4/3, 0, 4.
2A)
C is correct.
2B) If x + 13 = 28, solve.

If x = 15 and x + 13 = 28, you can solve it two ways:
1. Plug x into 4x + 26 to get a perimeter of
86, or
2. Redo the equation:

3a. Since the 6z is negative, you want an expression the has 5z - (11z). Answers A and D have that in their answer.
But since the 13 is positive, you want the answer that subtracts the smaller number from the larger. Thus,
D is your answer since it subtracts 2 from 15.
3b) You think about this question the same way; 6z is positive, so the smaller number is being subtracted from the larger, meaning that 11z - 5z is what you look for. C and D are the two that have that, so now let's look at the second term.
The 13 is negative, so you want the answer that has 2 - 15. The answer that has that is
D.
Hope this helps :D
Answer:
5.83333333333 or 5.8
Step-by-step explanation:
Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.

You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21