Answer: I want to say 30 degrees you have to put the degree simble
Step-by-step explanation:
Part A
(h + t)(x)
(5x - 2 + 4x + 6)(x) First plug in the numbers
(9x + 4)(x) Add h(x) and t(x)
(9x² + 4x) Then multiply it by x
x(9x + 4) Lastly, simplify x out (I'm including both answers because I don't know whether your questions will ask for either one)
Unsimplified Answer: 9x² + 4x Simplified Answer: x(9x + 4)
Part B
(h x t)(x)
(5x - 2)(4x + 6)(x) First step is to of cource, plug in the numbers
(20x² + 30x -8x -12)(x) Next we multiply h(x) and t(x)
(20x² + 22x -12)(x) Simplify it a little
(20x³ + 22x² - 12x) After that, multiply the whole thing by x
(2x)(10x² + 11x - 6) Simplify 2x out of the equation
(2x)(5x - 2)(2x + 3) Lastly, simplify the rest
Unsimplified Answer: (20x³ + 22x² -12x) Simplified Answer: (2x)(5x - 2)(2x + 3)
Part C
h[t(x)]
(5x - 2) [(4x + 6)(x)] Plug in the numbers
(5x - 2)(4x² + 6x) Multiply t(x) and x
(20x³ + 30x² - 8x² -12x) Multiply that by h(x)
(20x³ + 22x² -12x) Simplify a little... Wait! That looks like the answer to Part B! Perhaps we did something wrong, let's go back and alter the third step
(5x -2)(2x)(2x + 3) This time, simplify before multiplying oh wait, that's part B's simplified answer, isn't it.
Well, there's a good explanation for this: Part B and Part C are essentially the same equations, just in slightly different orders!
So, it will have the same answers and Part B! (At least, in theory, I'd recommend checking this for yourself too!)
Unsimplified Answer: (20x³ + 22x² - 12x) Simplified Answer: (2x)(5x-2)(2x+3)
Well, that's a wrap, Parts A, B, and, C with work and explanations; if you find that I made a mistake or did something wrong let me know. I hope this helped, and good luck!
Quadratic Formula:
-b +/- √b² - 4ac
x = --------------------------
2a
In your equation 3x² + 5x + 2 = 0:
a = 3
b = 5
c = 2
Now, plug in these values into the formula.
-5 +/- √5² - 4(3)(2) -5 +/- √25 - 4(6)
x = -------------------------------- ⇒ x = -----------------------------
2(3) 6
-5 +/- √25 -24 -5 +/- √1 -5 +/- 1
x = ------------------------ ⇒ x = --------------- ⇒ x = --------------
6 6 6
-5 +/- 1
Split x = ------------ into two solutions by solving it.
6
-5 + 1 -4
x = ------------ = ------
6 6
-5 - 1 -6
x = ----------- = ------ = -1
6 6
The two final solutions are x = -1 and x = -4/6
Let us assume capacity of large bottle = 1000 ml.
And capacity of each small bottle = 25 ml.
Reaming milliliters in large bottle = 250 milliliters.
Number of bottles = x bottles.
Total capacity of large bottle - capacity of a small bottle × number of bottles > Reamining milliliters in large bottle.
Therefore, we can setup an inequality.
1000 - 25 × x > 250.
1000 -25x >250.
