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docker41 [41]
3 years ago
11

(2x + 1)(3x - 2) /24 x^2 - 4X - 8

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0
I'm gonna go ahead and assume you're asking me to solve ((2x+1)(3x-2))/(24x^2-4x-8). 
((2x+1)(3x-2))/(24x^2-4x-8)
1. Factor out the common term 4. 
((2x+1)(3x-2))/(4(6x^2-x-2))
2. Split the second term in 6x^2-x-2 into two terms. 
((2x+1)(3x-2))/(4(6x+3x-4x-2))
3. Factor out common terms in the first two terms, then in the last two terms. 
((2x+1)(3x-2))/(4(3x(2x+1)-2(2x+1)))
4. Factor out the common term 2x+1
((2x+1)(3x-2))/(4(2x+1)(3x-2))
5. Cancel 3x-2
1/4
The answer to your question is 1/4. 
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Find the roots of the equation: 2(x−3)^2=3·(2x−11)
bekas [8.4K]

Answer:

5 and 4

Step-by-step explanation:

2(x-3)^2➡ 2×(x^2-6x+9) ➡ 2x^2-12x+18 = 6x-22

transfer and add like terms

2x^2-12x-6x=-22-18

2x^2-18x = -40

2x^2 - 18x + 40 = 0

(2x-8)(x-5)

x = 5 or, x = 8/2 ➡ 4

6 0
3 years ago
Eva maintained an average speed of 35 miles per hour (mph) for the first m hours of her road trip. For the next n hours of the t
Schach [20]

Answer:

Step-by-step explanation:

I don't see the choices, but I will make the equations that seems to be correct to me.

Known facts:

  • maintained an average speed of 35 miles per hour (mph) for the first m hours of her road trip.
  • next n hours of the trip, she drove at an average speed of 60 mph.
  • Eva drove a total of 225 miles in 4.5 hours.

Let's make the equations:

m + n = 4.5

35m + 60n = 225

Hope that helps!

7 0
3 years ago
The average mass of the eggs laid by chickens on Ms. Watson's farm is 3.5 grams. about how many grams does a dozen eggs weigh?
o-na [289]
42 grams
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Factor the polynomial: – 43 – 4x2 - 5x
Sedaia [141]

Answer:

Step-by-step explanation:

i think you messed up the options, but assuming the function is this:

-x^3-4x^2-5x

then the correct factorized form is:

-x(x^2+4x+5)

4 0
3 years ago
Which graph shows a rate of change 1/2 between -4 and 0 the x-axis
densk [106]
Could we see the graphs please?
4 0
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