Factor completely
12n^3 + 15n^2 + 4n + 5

Answer:

more information

Step-by-step explanation:

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

m=(13-5)/(6-2)

m=8/4

m=2

b=y-mx

b=5-2*2

b=5-4

b=1

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-5)/(6-2)

m=8/4

m=2

y-y1=m(x-x1)

y-5=2(x-2)

y-5=2x-4

y=2x-4+5

y=2x+1

Answer: d=20?

Step-by-step explanation:

Answer:

Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 and 1/2

Step-by-step explanation:

when you divide a fraction you keep, change, flip

Equation: 5/8 ÷ 1/4

keep 5/8 the same

change the divide symbol into a multipulcation symbol

flip 1/4 the other way, so it's 4/1 (it's a whole number now)

then just multiply across

Equation now: 5/8 × 4/1

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

Answer:

The distances AB and BC are

√

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

√

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

√

52

and therefore isosceles.Step-by-step explanation:

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

Answer:

-50y+(-80)

Step-by-step explanation:

Answer:

an equilateral triangle have equal angles and equal sides.

so, side x and side bc are 12.

Answer:

It's going to be 12, so is the other size.

Step-by-step explanation:

You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

Answer:

13b

Step-by-step explanation:

Answer:

The correct Answer is B: 13B

Step-by-step explanation:

Have A Nice Day.

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Answer:

D

Step-by-step explanation:

5 divided by 4 is just 5/4 written out

Answer:

ratio

Step-by-step explanation:

Answer:

So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)

Step-by-step explanation:

Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A coin is flipped and a die is rolled

Probability of getting a head on the coin and a 4 on the die​:

Total Number of favorable outcomes(coin is flipped) = {H, T}  = 2

Number of favorable outcomes (head) = 1

Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6}  = 6

Number of favorable outcomes (4 on the die) = 1

P(head) = [tex]\frac{1}{2}[/tex]

P(4) = [tex]\frac{1}{6}[/tex]

P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]

= [tex]\frac{1}{12}[/tex]

= 0.083

Hence, Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Find out more information about Probability here

https://brainly.com/question/11234923

#SPJ2

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

Answer:

x= - 8

Step-by-step explanation: Are you solving for X if so here is the answer

Answer:

5/9 and 3/9

Step-by-step explanation:

run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it

1/9 + 8/9 Difference is not 2/9th

2/9 + 6/9 Difference is not 2/9th

3/9 + 5/9 Difference is 2/9th. This is our answer

Step-by-step explanation:

5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9

Answer:

C

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation: