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maksim [4K]
3 years ago
15

Solve by factoring: 5x^2 + 19x + 12 = 0

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.

The factors of 5x² will just be 5x and z.

After finding factors for the constant and the leading

coefficient for your trinomial, we can eliminate some factors.

If you have an odd coefficient on the middle term,

you can eliminate any pairs of even factors.

So the group I crossed out in purple below will be eliminated.

Another strategy is to use factors a little closer together.

So I would go with the 4 and 3 group.

Surely enough, our trinomial does factor with the 4 and 3.

Now set the factored trinomial equal to 0.

Then use zero product property and you have your answer.

ollegr [7]3 years ago
5 0

Answer:

-0.27

Step-by-step explanation:

5x^2=25x

25x+19x=44x

44x+12=0

     -12=0-12

44x=-12

44x/44=-12/44

x=-0.27

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Answer:

Step-by-stept explanation:

The price of one drink is 3

8 0
3 years ago
the line -6+2y=10 is written in standard form. can you tell what the growth of the line is?Its y-intercept?
slamgirl [31]

Answer:

Growth: 3

y-intercept: 5

Step-by-step explanation:

1. Find the equation in slope-intercept form:

-6x+2y=10

2y=6x+10

y=3x+5

2. Then we can easily identify the growth and y-intercept.

Growth: 3

y-intercept: 5

6 0
3 years ago
Read 2 more answers
-9 - (18v - 5) = 2(7v - 16) - 3v​
andrezito [222]

Answer:

v = 28/29

Step-by-step explanation:

- 9 - (18v - 5) = 2(7v - 16) - 3v​

- 9 - 18v + 5 = 14v - 32 - 3v

- 18v - 14v + 3v = - 32 - 5 + 9

- 29v = - 28

v = -28 / -29

v = 28/29

6 0
3 years ago
Which line has a slope of 1/2 and a negative y-intercept? *
vivado [14]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3x+y=8 2x+2y=8 ​ Choose 1
ELEN [110]

Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

3x+y=8 (1)

2x+2y=8 (2)

Let's multiply the first equation by 2 and subtract it to the second equation  

6x-2x+2y-2y=16-8

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x=2

Using this value in (1) we can find y.

3(2)+y=8

6+y=8

y=2

Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

3 0
3 years ago
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