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4 years ago

What are the solutions to 6x^2-5x-4=0

Mathematics

2 answers:

White raven [17]4 years ago

5 0

Answer:

(4/3,-1/2)

Step-by-step explanation:

Hope I helped

Zolol [24]4 years ago

4 0

To factor a quadratic equation that has a leading coefficient, multiply the most and least significant coefficients together. In this case 6 * -4 = -24

We need to find two numbers that multiply to -24 and add to -5. We will split the middle term into these two numbers.

6x^2 -8x + 3x - 4 = 0

Here you can see that we split -5x into -8x and 3x.

Now we can factor by grouping. To do this, group the first two terms together and the last two terms together. Factor out whatever you can.

(6x^2 - 8x) + (3x - 4)

2x(3x - 4) + 1(3x - 4)

Notice that the second group had nothing to factor out so we just pull out a 1. Now we can rearrange the factored form according to the distributive property.

(2x+1)(3x-4) = 0

So the solutions are x = -1/2 and x = 4/3

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A coin weighs 4/15 ounces. A different coin weighs 1/15 ounces. How much do the two coins weigh together? Write your answer as a

olchik [2.2K]

Answer:

1/3

Step-by-step explanation:

4/15 + 1/15 = 5/15

simplified its 1/3

7 0

3 years ago

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

taurus [48]

X = the number of humans and y = the number of horses.

x+y=74
2x+4y=196

Because the number of humans and horses together is 74, and the total number of legs (2 per every human, x, and 4 per every horse, y) is 196. Then, just use elimination to solve.

So, now that you have y, you can plug it into the first equation to find x:

So, x = 50 and y = 24, so there are 50 humans and 24 horses.
The correct answer is B.

4 0

3 years ago

1/3 + a = 5/4 a = Solve the equation.

mafiozo [28]

Answer:

Step-by-step explanation:

1/3 + a = 5/4

-1/3 -1/3

a = 4/1 

7 0

3 years ago

Find the difference -2(c + 2.5) - 5(1.2c + 4)

Vikentia [17]

Answer:
|−∣=7
Explanation:

∣−∣
= |(-2-5)|
= |-2-5|
= | -7|=7

8 0

3 years ago

A soccer team’s performance in a game depends on its performance in the last two games. If the team has lost both its previous g

Alenkasestr [34]

The probability of the team winning its next game is 0.733

Since we are assuming that each the three outcomes are equally likely, hence outcome will have a probability of 1/3

Let:

Win = W ; Lose = L

Probability of winning next game :

If LL = 90%

If LW = 50%

If WW = 90%

Therefore,

The probability of the winning its next game :

[P(wining next game) × P(LL) + P(wining next game) × P(LW) + P(winning next game) × P(WW)]

[(0.8 × 1/3) + (0.5 × 1/3) + (0.9 × 1/3)] = 0.7333

Hence, the probability of the team winning it's next game is 0.733.

Learn more : brainly.com/question/18153040

7 0

3 years ago