can anyone help me please ?

Using the Factor Theorem, it is found that the complete factorization of the polynomial x³ + 8x² + 19x + 12 is given by:

A. (x+4)(x+3)(x+1)

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, using a calculator, the roots of the polynomial x³ + 8x² + 19x + 12 are x = -4, x = -3 and x = -1, hence:

f(x) = (x + 4)(x + 3)(x + 1)

Which means that option A is correct.

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Answer:

fmgrjn

Step-by-step explanation:

Answer:

11(7+4)=22 7+4=18 here i think it help for u

Answer:

69

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours of dog walking. Taylor charges $15 for the first hour and $10 for each additional hour. Therefore:

Let g(x) represent how much Taylor charges. Hence:

g(x) = 15   for 0 ≤ x ≤ 1

g(x) = 15 + 10(x - 1) = 15 + 10x - 10 = 10x + 5   for x > 1

g(x) can be represented by the piecewise function:

[tex]g(x)=\left \{ {{15\ \ \ \ \ \ for\ 0\leq x\leq 1} \atop {10x+5\ \ for\ x>1}} \right.[/tex]

Lucy charges f(x) is modeled by the piecewise function:

[tex]f(x)=\left \{ {{20x\ \ \ \ \ \ for\ 0\leq x\leq 2} \atop {10x\ \ \ for\ 0< x< 4}} \right.[/tex]

Therefore the charge for walking a dog for 2.5 hours by either Taylor or Lucy is:

For Taylor; f(2.5) = 10(2.5) + 5 = $30

For Lucy; g(2.5) = 10(2.5) = $25

Therefore Taylor charges more by walking a dog for 2.5 hours. Taylors charge is $5 more than Lucy charge ($30 - $25).

9514 1404 393

Answer:

  0.015x

Step-by-step explanation:

The amounts earned at the different rates are ...

  at 2%: 0.02x

  at 3.5%: 0.035x

The difference in earnings is ...

  0.035x -0.02x = 0.015x

Answer:

It all starts with something that creates "Tension" between you and another person. "Tension" leads to "Role Dilemma" or blaming the other person for the tension and the problem. ... Then both of you start "Gathering Injustices" to use as ammunition for the inescapable showdown.

Answer:

I can't see all the answers

Answer:

275

Step-by-step explanation:

412kg - 123kg - 14kg = 275kg left

Because he used 275 kg out of 412kg

The answer fam is......... 38%

Answer: 38%

Step-by-step explanation:

80x0.62=49.60

[tex] 2 \frac{1}{2} \ inches [/tex].

The ribbon's length ends at 2 and half. Thus, the length must be equal to 2 ½ inches.

Answer:

(a) the number of 100W light bulbs is 11

(b) the daily cost of 2000 kW is $4,800

Step-by-step explanation:

charge of energy consumption up to 20 kWh = $0.05/kWh

charge of energy consumption above 20 kWh = $0.10/kWh

(a) number of 100 W light bulbs that can be run continuously for less than $10 per week

Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)

                                                                          = 16.8 kWh

Charge associated with this consumption = $0.05/kWh

let the number of 100 W light bulbs = n

[tex]n(\frac{\$ 0.05}{kWh} \times 16.8 kWh) = \$10\\\\n(0.84) = 10\\\\n = \frac{10}{0.84} \\\\n = 11.9[/tex]

Since 0.9 is not a whole number, the number of 100 W light bulbs is 11.

(b) if 2000 kW is used continuously

total energy consumption = 2000 kW x 24 h = 48,000 kWh

The daily cost is calculated as;

[tex]= \frac{\$0.10 }{kWh} \ \times \ 48,000 kWh\\\\= \$ 4,800[/tex]

A particular electric utility charges customers different rates depending on their daily rate of energy consumption :

(a) the number of 100W light bulbs is 11

(b) the daily cost of 2000 kW is $4,800

Given :

Charge of energy consumption up to 20 kWh = $0.05/kWh

Charge of energy consumption above 20 kWh = $0.10/kWh(

Part a)

Number of 100 W light bulbs that can be run continuously for less than $10 per week

Charge associated with this consumption = $0.05/kWh

Let the number of 100 W light bulbs = n[tex]n\left(\frac{\$0.05}{kWh}\cdot16.8kWh\right)=\$10\\n\left(0.84\right)=10\\n=\frac{10}{0.84}\\n=11.9[/tex]

Since 0.9 is not a whole number.

Thus, the number of 100 W light bulbs is 11.

Part b)

2000 kW is used continuously

Total energy consumption = 2000 kW x 24 h

Total energy consumption  = 48,000 kWh

The daily cost is calculated by:

[tex]\frac{\$0.10}{kWh}\cdot48000\ kWh

Daily cost=\$4800[/tex]

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Answer:

The number of enrollments increased by 5%.

Step-by-step explanation:

Given that:

Number of students at the beginning of the year = 480

Number of students at the end of the year = 504

Change = 504 - 480 = 24

This indicates increase.

Percent of change = [tex]\frac{Change}{Old\ number\ of\ students}*100[/tex]

Percent of change = [tex]\frac{24}{480}*100[/tex]

Percent of change = 5%

Hence,

The number of enrollments increased by 5%.

Answer:

(0, 3)

Step-by-step explanation:

(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)

Answer:

[tex]V(x) = 4x^3-34x^2+66x[/tex]

Step-by-step explanation:

Polynomials

We'll apply the polynomials to geometry.

The volume of a rectangular box can be calculated as

V = LWH

Where L is the length, W is the width, and H is the height of the box.

The figure shows the three dimensions as a function of the variable x:

W = 6 - 2x

L = 11 - 2x

H = x

Substituting in the formula of the volume:

[tex]V(x) = (11-2x)(6-2x)(x)[/tex]

Multiplying the first two factors:

[tex]V(x) = (66-22x-12x+4x^2)(x)[/tex]

Simplifying:

[tex]V(x) = (66-34x+4x^2)(x)[/tex]

Multiplying by x:

[tex]V(x) = 66x-34x^2+4x^3[/tex]

Reordering:

[tex]\boxed{V(x) = 4x^3-34x^2+66x}[/tex]

Answer:

if you download the app photomath it will help you

Step-by-step explanation:

I promise!

Step-by-step explanation:

x=27 and y= 44

.......................

Answer:

There are 151,200 possible license plates.

Step-by-step explanation:

The order in which the digits are positioned is important(for example, 012345 is a different plate than 102345). No repeat digits are allowed, which means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

There are 10 possible digits(from 0 to 9).

The plate has 6 slots.

So

[tex]P_{(10,6)} = \frac{10!}{(10-6)!} = 151200[/tex]

There are 151,200 possible license plates.

Answer:

The 10% condition would not apply here

Explanation:

The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.

Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.

Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.

Answer:

Step-by-step explanation:

Answer:

1.5 acres per hours

Step-by-step explanation:

.75 is half an hour so just double the .75 to get the rate of an hour

Answer:

1.5 acres per hours

Step-by-step explanation:

im just smart like that

Answer:

4x+1

Step-by-step explanation:

The way i got this was because sometimes on shapes there are 4 side and so you would multiply the number of sides then add some more to it.

Answer:

TS=22

Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.

TS/US=MN/NQ: Let plug in the numbers

3x+1/26=5x-2/39:  Then cross multiply

39(3x+1)=26(5x-2): Then simplify

117x+39=130x-52: Subtract 117x from both sides

39=13x-52: Add 52 to both sides

  91=13x: Divide 13 by both sides

  7=x: Then plug it in to TS

3(7)+1=22

Answer:

Vertex: (8,6) Focus (7,6)

Step-by-step explanation:

32/4=8

Half of 12=6

Answer:

18

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

35:45 is the same as 7:9 because if you divide both side by 5, 35:45 goes to 7:9

Answer:

20x?

Step-by-step explanation:

Answer:

it will = 17+3x. hope it helps

Answer: 28 p is the cost of one crayon.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Marcin buys 7 rulers and 15 crayons for £7.

A ruler costs 12p more than a crayon.

now,

To solve this problem we're going to use an equation.

First let's write down the information that we do know.

Let's use (r) for ruler and (c) for crayon.

So 7 rulers and 15 crayons cost £7 (or 700 pennies)

--> 7r + 15c = 700

But we also know that r = c +12

So we can substitute c + 12 into the first equation where r is at the moment.

7(c+12) + 15c = 700

Now let's expand the brackets.

We multiply 7 by c to get 7c

and 7x12 t0 get 84

7c + 84 +15c = 700

22c + 84 = 700

Here I'm going to take 84 away from both sides.

22c = 616

616 divided by 22 is 28

so c = 28

hence, Each crayon therefore costs 28p.

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Answer:

14

Step-by-step explanation:

Answer:

1. s + 7 = 9

2. 5r - 4 = 21

3. t - s = 5

4. u + r = 6

5. 11t - 7 = 70

6. 6 + 3u = 9

7. 4r - 10s = 0

8. r with an expnent of 2 +8 = [tex]r^{2} + 8 = 33[/tex]

9. 30 over r = [tex]\frac{30}{5}[/tex] =6

10. 2t with an exponent of 2-18 = [tex](2t)^{2} - 18 = 178[/tex]

Step-by-step explanation:

1. If r = 5, s = 2, t = 7, and u = 1 then,

s + 7  = 2 + 7 = 9

2. If r = 5, s = 2, t = 7, and u = 1 then,

5r - 4  = 5(5) - 4 = 25 - 4 = 21

3. if r = 5, s = 2, t = 7, and u = 1 then,

t - s  = 7 - 2 = 5

4 .If r = 5, s = 2, t = 7, and u = 1 then,

u + r  = 1 + 5 = 6

5. If r = 5, s = 2, t = 7, and u = 1 then,

11t - 7  = 11(7) - 7 = 77 - 7 = 70

6. If r = 5, s = 2, t = 7, and u = 1 then,

6 + 3u = 6 + 3(1) = 6 + 3 = 9

7. If r = 5, s = 2, t = 7, and u = 1 then,

4r - 10s = 4(5) - 10(2) = 20 - 20 = 0

8. If r = 5, s = 2, t = 7, and u = 1 then,

r with an exponent of 2 +8 = [tex]r^{2} + 8 = 5^{2} + 8 = 25 + 8 = 33[/tex]  

9. If r = 5, s = 2, t = 7, and u = 1 then,

30 over r = [tex]\frac{30}{r} = \frac{30}{5} = 6[/tex]

10.If r = 5, s = 2, t = 7, and u = 1 then,

2t with an exponent of 2-18 = [tex](2t)^{2} - 18 = (2.7)^{2} - 18 = (14)^{2} - 18 = 196 - 18 = 178[/tex]

Answer:

r = 12 millimeters

Step-by-step explanation:

Surface area of a ball = 4πr²

Surface area of a ball = 576 pi square millimeters

Surface area of a ball = 4πr²

576π = 4πr²

r² = 576π / 4π

r² = 144

Find the square root of both sides

√r² = √144

r = 12

r = 12 millimeters

Answer:

The answer is 12 millimeters

Step-by-step explanation:

I'm doing it rn