Solve the quadratic equation by factoring

[tex] \: \: \: \: \: [/tex]

[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]

Answer:

h(1) = 7

Step-by-step explanation:

h(x) = 4x + 3

h(1) = 4(1) + 3

h(1) = 4 + 3

h(1) = 7

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.

Answer:

Look at other page answer is there

Step-by-step explanation:

======================================================

Explanation:

There are two approaches.

Method 1)

20% of 40 = 0.20*40 = 8

Since 8 students are participating, this means 40-8 = 32 are not participating.

-----------

Method 2)

20% are participating, so 100% - 20% = 80% are not participating

80% of 40 = 0.80*40 = 32

Answer:

It will take at least 45 cars

Step-by-step explanation:

so to start subtract 240 from 600

you get 360 then divide 8

this leaves you with 45

Answer:

Step-by-step explanation:

If AD=DB  and  AE=EC,

then DE¯¯¯¯¯∥BC¯¯¯¯¯ and DE=12BC .

Answer:

j>3

Step-by-step explanation:

hope this helps sorry if it doesn't have a great rest of your night :)❤

Answer:

X=9

Step-by-step explanation:

2x-7=11

Add 7 each side

2x - 7 +7 =11 + 7

2x=18

Divide by 2 each side

2x/2=18/2

x=9

Answer:

x = 9

Step-by-step explanation:

2x - 7 = 11

Add 7 to both sides: 2x = 18

Divide by 2: x = 9

Answer:

you speak English or Espanol? I dont wanna answeri with the wrong language

Answer:

4 weeks

Step-by-step explanation:

Total cost of coat =  $121

Money saved = $ 61

Will save $15 per week  

So let x = number of week  = $15x

Money saved + will save = Total cost of the coat

$61 + $15x = $121

-$61            = - $61

           $15x = $60

                x  = $60 ÷ 15

                 x = 4

Answer:

Step-by-step explanation:

Using PRT/100, let's find the interest.

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

4,6,14,18, and 20

Step-by-step explanation:

Answer:

It's D. 53.1°

Step-by-step explanation:

From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have given system of equation

x = 2y

2x + 5y = 9

Using the substitution method

2(2y) + 5y = 9

4y + 5y = 9

9y = 9

y = 1

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

Answer is -7

Step-by-step explanation:

coz if -2 equal only  

- answer so answer is

-7

Answer:   x = 39/10     y = 29/5

Answer:

(17,25)

Step-by-step explanation:

To find the solution to the system, solve with elimination.

Equation 1.

−4x + 3y =7

Equation 2.

5x − 2y =35

To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.

2(−4x + 3y =7)

-8x+6y=14

3(5x − 2y =35)

15x-6y=105

Combine both equations.

-8x+6y=14

15x-6y=105

7x=119

x= 17

Plug in x into the first equation to solve for y.

-8x+6y=14

-8(17)+6y=14

-136+6y=14

6y=150

y=25

Step-by-step explanation:

the range of a relation or function is the interval or set of valid result values (y values).

in contrast to the domain, which is the interval or set of valid x values.

so, as y values we have here

-3, -2, 0, 2

so, the third answer option is correct.

Answer:

The answer is 9 ( C on edge)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

C on edge

I took the test

Given that √2 = 1.414

The value of (1/2)√(16200)

16200 can be written as

16200 = 2×8100

16200 = 2×2×4050

16200 = 2×2×2×2025

16200 = 2×2×2×5×405

16200 = 2×2×2×5×5×81

16200 = 2×2×2×5×5×3×27

16200 = 2×2×2×5×5×3×3×9

16200 = 2×2×2×5×5×3×3×3×3

√16200 = √(2×2×2×5×5×3×3×3×3)

√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)

√16200 = 2×5×3×3√2

√16200 = 90√2

Now,

(1/2)√16200

⇛(1/2)×90√2

⇛90√2/2

⇛45√2

⇛45×1.414

⇛63.63

Answer: Hence, value of (1/2)√(16200) is 63.63

also read similar questions: if √2=1.414 and√3=1.732,find the value of 1/√2+√3..

https://brainly.com/question/12837303?referrer

If √2 = 1.414 then the value of 5+√2 / 5-√2 is..

https://brainly.com/question/25047005?referrer

The value of 1/2√16200 given the value of √2 = 1.414 is 63.63

Prime factorization of √16200

= 3 × 3 × 5 × √2

= 90√2

Given:

1/2√16200

= 1/2 × 90√2

= 90√2 / 2

= 45√2

= 45 × √2

= 45 × 1.414

= 63.63

Therefore, the value of 1/2√16200 is 63.63

Learn more about prime factorization:

https://brainly.com/question/9523814

Answer:

The last three are all functions.

The first one is not because by defenition of function, an x value cannot have two y values.

The second one is because a function f(x) is the same thing as y

The third one is because x value does not repeat, and that is all that matters.

The fourth one is a function too since x values do not have two y values

Answer:

1,771,470

Explanation:

10(3^n-1)

Answer:

Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Answer:

16

Step-by-step explanation:

16

Step-by-step explanation:

32 ÷ 8 = 4

4 × 4 = 16

[tex] \\ [/tex]

Answer:

x = 3

--------------------------------------------------------------------------------------------------------------

Step-by-step explanation:

-3x = -9

You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.

Thus, we would divide both sides by the coefficient (-3)

-3x/-3  =  -9/-3

Thus, we isolate the variable x, and the result is

x = 3

--------------------------------------------------------------------------------------------------------------

Check:

To check our answer, all we have to do is substitute the value of x.

So, we would substitute the equation as

-3(3) = 9

-3 multiplied by 3 is -9, so our answer is correct.

Answer:

D. The hiker would climb up 46 meters

Step-by-step explanation:

It would make the negative cancel out and would make it 0. 0 is sea level

Answer:

D the hiker would climb up 46 meters.

Step-by-step explanation:

If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.

Answer:

unit rate 1:8

Step-by-step explanation: