Help help help help math math

Step-by-step explanation:

This is a polynomial so we can use rational roots Theorem to solve the equation.

The rational roots simply states that the roots of a polynomial, in the form of

[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]

The possible roots of the polynomial are the factors of

p/r.

We say r^0 to represent the constant and p to represent the leading coeffceint.

So the rational roots states the possible roots of a polynomial is

the factors of leading coeffceint/ the factors of the constant.

In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.

The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are

positive or negative (1,1/2, 1/3,1/6, 3, 3/2).

Now, we see which of the following roots will that the polynomial, P will equal zero.

It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.

So our factored version of the polynomial is

[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]

Now can we continue and factor the right side of the factors.

3 also works so x-3 is a factor as well so

[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]

Now factor the quadratic using factoring by grouping

[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]

So our factor are

[tex](3x + 1)(x - 2)[/tex]

So in conclusion our factors are

[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]

And our x values are -1/3, 2, -1, and 3.

The probability of a failure is 0.5

The probability of getting a failure will be 50% of the total times;

Expected outcome  = 50% of 70

Expected outcome = 35

Pr(a failure) = 35/70

Pr(a failure) = 0.5

Hence the probability of a failure is 0.5

Learn more on probability here: https://brainly.com/question/22664861

Answer:

3:7

Step-by-step explanation:

She has 3 tennis and 7 soccer

[tex](3)\\\\17^{\tfrac 43} = \left(17^{\tfrac13\right)^4 = \left(\sqrt[3]{17}\right)^4 =\left(\sqrt[3]{17}\right)^3 \left(\sqrt[3]{17}\right) = 17\sqrt[3]{17}[/tex]

[tex](4)\\\\\text{First term, a= 4,}\\\\\text{Common difference,}~ d =13-4 = 9\\\\\text{nth term} = a+(n-1)d = 4 +(n-1)9 = 4+9n-9 = 9n-5\\\\\text{ 5000th term} = 9(5000) -5 =44995[/tex]

the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120

Answer:

120

Step-by-step explanation:

To find the answer, multiply 300 with 0.40

To confirm this answer, divide 120 by 0.40

Answer:

If today is Saturday, then after 70 days, we will be on a Saturday again.

Step-by-step explanation:

Basically, 70 days = 10 weeks

Which means: 1 week = 7 days

We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.

Hoped this helped.

Answer:

29/4

Step-by-step explanation:

7 x 4 = 28

28 + 1

hope that helps!

Answer:

29/4

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

4 × 7 = 28

Step 2

Add the answer from Step 1 to the numerator

28 + 1 = 29

Step 3

Write answer from Step 2 over the denominator

29/4

Hope this helps!:)

Answer:

375

Step-by-step explanation:

150 x 2= 300 -Thats for the 20 minutes

And 150 divided by 2 = 75= Thats for the addtional 5 minutes

Answer:

x = 14

y = 6

Step-by-step explanation:

*Property*

In a parallelogram:

Opposite sides are equal.

Since, the given figure is a parallelogram we can apply this property and equate:

1) 2y + 1 = 13

subtracting 1 from both sides:

=> 2y + 1 - 1 = 13 - 1

=> 2y = 12

dividing both sides by 2:

=> 2y/ 2 = 12/ 2

On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator

On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:

2) x = y + 8

We've got the value of y from equation 1).

Substituting it here:

=> x = 6 + 8

Answer:

Hence, we got the values of x and y as:

[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]

Answer:

15

Step-by-step explanation:

Angle 2 is 2x+10

angle 4 is 4x+80

and from the figure we can understand that when we add these 2 equations

We get

6x+ 90= 180

6x = 180 - 90= 90

6x= 90

x = 90 ÷ 6 = 15

answer = 15

Answer:

Step-by-step explanation:

1. 7$ for Each Shirt  2$ is for the Print $2.50 is the cost of back

1. (7x2x2.50) ---All Multiplication

2. Answer  35.00

Breakdown

$7.00 Mulltiplied by 2 which gives you $14.00

Then you multiply it by $2.50

Which Gives you $35.00

Answer:

Steps in the picture

Hope it helps

Answer:

62.5

Step-by-step explanation:

Answer:

2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10

Hope I Helped You:)

Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

Answer:

measure of midsegment EF is 29

Step-by-step explanation:

basically just find the average of the two numbers

25+33/2 = 29

Answer:

Option C

Step-by-step explanation:

Radius = D/2

=> 8/2 => 4 cm

Volume = πr²h

=> π × (4)² × 100

=> 16π × 100

=> 1600π cm³

Answer:

117 square inches

Step-by-step explanation:

234/2

Answer:

A = 117 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 18 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²

Step-by-step explanation:

Converted using rapidtables.

Answer:

y<=-1/2x-2

Step-by-step explanation:

Answer:

13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational

Answer:

the amount paid for the loan would be $6700.80

Answer:

3x+y=4

Explanation:

Standard form is Ax + By = C

Answer:

29 - 3t = 54 - 8t

-29 -29

-3t = 25 - 8t

+8t +8t

5t = 25

/5 /5

t = 5

The snowmen will have an equal height after 5 hours.