Given the binomials (x − 3), (x − 1), (x + 2), and (x + 3), which one is a factor of f(x) = 2x3 + 3x2 − 2x − 3?

Answer:

9

Step-by-step explanation:

Answer:

3 Letters Word: 6 Distinct Ways: 4 Letters Word: 24 Distinct Ways: 5 Letters Word: 120 Distinct Ways: 6 Letters Word: 720 Distinct Ways: 7 Letters Word: 5,040 Distinct Ways: 8 Letters Word: 40,320 Distinct Ways: 9 Letters Word: 362,880 Distinct Ways: 10 Letters Word: 3,628,800 Distinct Ways

Step-by-step explanation:

The number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

As we can see that the word 'PHILOSOPHY' has 10 letters therefore, the letters of the word can be arranged in the 10! manner, but it contains the letter P, H and O twice therefore, there will be words that will look the same and are counted twice. Thus, the number of ways the word PHILOSOPHY can be arranged are,

[tex]\text{Number of ways} = \dfrac{10!}{2! \times 2! \times 2!} = 453,600[/tex]

Hence, the number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

Learn more about Factorial:

https://brainly.com/question/16674303

Answer:

64 pizzas

Step-by-step explanation:

4:3 * x:48

x resembles the amount of pizzas sold,

what times 3 = 48?

x=16

4 * 16 is 64

64 pizzas were sold

* Let me know if you have any questions*

Answer:

x  = 50 mph        speed of the bus

y  = 75  mph       speed of the train

Step-by-step explanation:

Lt´s call  "x" speed of bus   and  "y" speed of train.

According to the problem statement

6*x  =  4*y                   (1)

y  =  x  + 25                 (2)

We solve for x and y the two equation system

y = ( 6/4)*x

( 6/4)*x  =  x  +  25

6*x = 4*x + 100

2*x  = 100

x  = 50 mph

And

y  =  (6/4)*x

y  = 300/4

y  = 75 mh

Answer:

Yes it is a right triangle

Step-by-step explanation:

Brainliest pls

Answer:

k = 2

Step-by-step explanation:

-8k + 6 = -10k + 10

-8k = -10k +4

2k = +4

2k / 2 = 4 / 2

k = 2

Answer:

There is no table or picture and nice Uzumaki clan picture.

I know this question so here

It is less likely the vehicle will turn left asgoing straight

Step-by-step explanation:

plz mark brainliest

Answer:

b

Step-by-step explanation:

Answer:

wuts the question?

Step-by-step explanation:

??????????

Answer:

144

Step-by-step explanation:

Write a equation(or whatever it is called)

Check your work:

Answer:

The answer is 1/2 second

Step-by-step explanation:

Hope this helps

Answer:

0.0475 or 4% professional language translators get paid less than $250 per hour

Step-by-step explanation:

Mean = 320

Standard Deviation = 41.75

We need to find proportion of professional language translators get paid less than $250 per hour i.e P(x<250)

First we will find value of z

Using formula: [tex]z=\frac{x-\mu}{\sigma}[/tex]

We have x=250, finding z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{250-320}{41.75}\\z=-1.67[/tex]

Now we will find P(z<-1.67) by looking into the normal distribution table

[tex]P(z<-1.67)=0.0475\\[/tex]

So,0.0475 or 4% professional language translators get paid less than $250 per hour

Answer:

b=0

Step-by-step explanation:

Answer:

78% of the children can swim

Step-by-step explanation:

There are 50 children, 11 of them cannot swim. The fraction of children that cannot swim is 11/50. We have to change that into a percentage.

11/50 x 2 will equal our percentage

11 x 2 = 22

50 x 2 = 100

22/100 or 22%

We have the percentage of the children who cannot swim, now we have to find the percentage of children who can swim.

100% - 22% = 78%

I Hope That This Helps! :)

Answer:

The value is   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Answer:

6

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

135 meters

Step-by-step explanation:

172 minus 37 equals 135

Answer:

by Alternate Intererior Angles Theorem

Step-by-step explanation:

1. Line L || Line M

1. Given

2. ∠4≅∠6

2. Alternate Interior Angles Theorem

Answer:

The equation in standard form is 11x + y = -28.

Step-by-step explanation:

Let's start with y = mx + b

5 = -3m + b

-6 = -2m + b

Let's take the second less the first.

m = -11

Plug back in the first equation to calculate b.

5 = 33 + b

b = -28

So y = -11x - 28

11x + y = -28

Answer:

A: 24

B: 40.04

Step-by-step explanation:

A=L*W

8*3=24

5.2*7.7=40.04

Answer:

Step-by-step explanation:

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.

You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive

Answer:

standard form

Step-by-step explanation:

f(x)=ax^2+bx+c

Answer:

2,-1,-2,-4

Step-by-step explanation:

Answer and Step-by-step explanation:

12.2

*   4

____

48.8

4 times 2 is 8.

4 times 2 is 8.

4 times 1 is 4.

Remember to place the decimal.

#teamtrees #WAP (Water And Plant)

Answer:

48.8

Step-by-step explanation:

Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.