Ask question

Ask question

All categories

2 years ago

5

3x²+x=2solve by factoring ?

2 answers:

lara [203]2 years ago

8 0

$3x^2+x=2\\\\3x^2+x-2=0\\\\3x^2+3x-2x-2=0\\\\3x(x+1)-2(x+1)=0\\\\(x+1)(3x-2)=0\\\\x+1=0\ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ 3x-2=0\\x=-1\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ 3x=2\\x=-1\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ x=\frac{2}{3}\\\\$

kondor19780726 [428]2 years ago

7 0

$3x^2+x=2\\
3x^2+x-2=0\\
3x^2+3x-2x-2=0\\
3x(x+1)-2(x+1)=0\\
(3x-2)(x+1)=0\\
x=\frac{2}{3} \vee x=-1$

You might be interested in

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

2 years ago

Here are the ingredients for raspberry ripple ice cream.

oee [108]

10 pounds of sugar for 5 litres of cream.

3 0

2 years ago

a figure has the coordinates (0,0) (0,15) and (8,0). If the figure is rotated about the y- axis, what is the volume of the shape

AfilCa [17]

Answer:

120

Step-by-step explanation:

15 x 16/2

You double 8 because your rotating around the y-axis

3 0

3 years ago

How many 3-digit natural numbers are there?

Aleks04 [339]

Answer:

900

Step-by-step explanation:

natural numbers are all positive numbers that dont include 0

5 0

3 years ago

An items is regularly priced at $20. Keisha bought it on sale for 40% off the regular price. How much did Keisha pay?

nirvana33 [79]

Answer:

Kiesha paid $12.

Step-by-step explanation:

40% of 20 is 8. So you subtract 8 from 20 and that gives you the amount she paid.

6 0

2 years ago