All categories

3 years ago

Factor completely 3x^2− x − 4.

Mathematics

2 answers:

Mamont248 [21]3 years ago

3 0

(x+1) x (3x-4) is the answer

vichka [17]3 years ago

3 0

Answer:

( x + 1 ) ( 3 x − 4 )

Step-by-step explanation:

3x^2− x − 4

Factor − 1 out of − x .

3 x^2 − ( x ) − 4

Rewrite − 1 as 3 plus − 4

3 x^2 + ( 3 − 4 ) x − 4

Apply the distributive property.

3 x^2 + 3 x − 4 x − 4

Group the first two terms and the last two terms.

( 3 x 2 + 3 x ) − 4 x − 4

Factor out the greatest common factor (GCF) from each group.

3 x ( x + 1 ) − 4 ( x + 1 )

Factor the polynomial by factoring out the greatest common factor, x + 1 .

( x + 1 ) ( 3 x − 4 )

You might be interested in

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd

mestny [16]

Answer:

1) $P(X = 8) = 0.1033$

$P(X = 9) = 0.0688$

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So $\mu = 6$ .

P(X = 8)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 8) = \frac{e^{-6}*(6)^{8}}{(8)!} = 0.1033$

P(X = 9)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 9) = \frac{e^{-6}*(6)^{9}}{(9)!} = 0.0688$

Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.1033 = 20.66$

There is a 6.88 probability that 9 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.0688 = 13.76$

8 0

3 years ago

A cafeteria used 5 gallons of milk and preparing like how many 1 quart containers of milk did the cafeteria use

Elden [556K]

The cafeteria used 20, 1 quart containers. <span />

7 0

3 years ago

Read 2 more answers

At a small university, there are 1800 female students and 2000 male students. Which of the following expresses the ratio of fema

jonny [76]

The answer to this is.9/10

wdwasaasfffaffaaaaaaaaaaaaaf

4 0

3 years ago

Read 2 more answers

Also this question tooo pleease, PS: what topic is this <br> Solve for x.

MrRissso [65]

This falls under geometry. The two labeled angles are congruent, which means the line segment between them (AD in the image) is a bisector of the angle at vertex A. Use the angle bisector theorem, which says that

$\dfrac{BD}{DC}=\dfrac{AB}{AC}\iff\dfrac{12}{(5+9x)-12}=\dfrac{15}{25}$

$\dfrac{12}{9x-7}=\dfrac35$

$20=9x-7$

$x=3$

8 0

3 years ago

How much Zn and how much HCl should be used to produce 1.5 g ZnCl2

tatuchka [14]

Answer:

0.71963 g of Zn
0.80256 g of HCl

Step-by-step explanation:

The required mass of reactants can be computed from the number of moles of product.

moles of ZnCl₂ = (1.5 g)/(136.282 g) ≈ 0.0110066 moles

Then the mass of Zn required is ...

mass of Zn = (0.0110066 mol)(65.382 g/mol) = 0.71963 g

Two moles of HCl are used in the reaction with each mole of Zn, so the mass of HCl required is ...

mass of HCl = 2(0.0110066 mol)(36.458 g/mol) = 0.80256 g

_____

<em>Comment</em>

The discrepancy in the last two decimal places of the weights above versus the calculator output below comes from rounding of moles of Zn to 4 significant digits, instead of 5 or more. The number of moles of ZnCl₂ is closer to 0.0110066.

4 0

3 years ago