help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

Answers

Answer 1

Answer and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

          2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

Help Plzzzzzzzzzzzz Not I Am Lost. 100 Points Or More If I Can. Show How To Solve The Quadratic Equation

Related Questions

If A = {1, 2, 3, 4} and B = {4, 5, 6}, find A ∪ B.

Answers

Answer:

{ 1,2,3,4,5,6}

Step-by-step explanation:

Given the number Line, what ray does not contain CB?

Answers

Answer:

[tex]\large \boxed{\mathrm{C }}[/tex]

Step-by-step explanation:

The ray CF does not contain the ray CB.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

What is line segment?

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

In the given number, there are six divisions A, B, C, D, E, F.

Ray CB is in the line segment AD, AE, FA, BE, BF.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

Learn more about the line segment here:

https://brainly.com/question/25727583.

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earth completes its 584-million-mile orbit of the sun in about 365 days. how fast is earth moving through its orbit in miles per hour?

Answers

Answer:

66666.67 miles/hr

Step-by-step explanation:

Given that:

Earth complete its orbit of the Sun which is 584 million miles

Time taken to complete the orbit = 365 days

To find:

Speed of earth in miles per hour = ?

Solution:

First of all, we need to convert the distance in miles and time in hours to get our answer.

Let us have a look at the conversion units:

1 day = 24 hours

So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours

Distance traveled = 584 million miles

1 million miles = 1000000 miles

584 million miles = 584000000 miles

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.

[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]

So, the answer is: 66666.67 miles/hr

.837537537 as a fraction

Answers

Answer:

.837537537 =  

837537537

1000000000

Step-by-step explanation:

Answer:

0

-

1000000000

i think it will help you

You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)

Answers

Complete Question

You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)

2016 Value     Rate

$2150           $250 increase per year

Answer:

The  equation is  [tex]V(t) = 250 (t) + 4.3[/tex]

Step-by-step explanation:

Generally linear equation is represented mathematically as follows

      [tex]y = mx + c[/tex]

Where  y is the dependent variable which in this case is  dollar value of a product (V(t))

   x is the independent variable which in this case is the time in years(t)

  m is the slope which in this case is the  rate at which the value of the product is expected to change during the next 5 years

So  

        [tex]V(t) = m t + c[/tex]

When  t =  16  years

         [tex]2150 = 250 (16) + c[/tex]

=>       [tex]c = 4.3[/tex]

So the linear equation is  

      [tex]V(t) = 250 (t) + 4.3[/tex]

     

3. Find the value for x that makes the following equation true.
3x - 7 = x + 3
A)x = -5
B) x = 2
C) x = 5
D) x = -2


Can someone please help me out ??

Answers

Answer:

C

Step-by-step explanation:

So we have the equation:

[tex]3x-7=x+3[/tex]

Subtract x from both sides. The right cancels:

[tex](3x-7)-x=(x+3)-x\\2x-7=3[/tex]

Add 7 to both sides. The left cancels;

[tex](2x-7)+7=(3)+7\\2x=10[/tex]

Divide both sides by 2:

[tex](2x)/2=(10)/2\\x=5[/tex]

So, our answer is C

Answer:

C) x = 5

Step-by-step explanation:

A) 3(-5) - 7 = (-5) + 3

   -15 - 7 = (-5) + 3

   -23 = (-5) + 3

   -23 = -2 (they do not equal the same so no)

B) 3(2) - 7 = (2) + 3

    6 - 7 = (2) + 3

    -1 = (2) + 3

    -1 = 5 (they do not equal the same so no)

C) 3(5) - 7 = (5) + 3

    15 - 7 = (5) +  3

    8 =  (5) + 3

    8 = 8 (they equal the same so yes)

D) 3(-2) - 7 = (-2) + 3

    -6 - 7 = (-2) + 3

    -13 = (-2) + 3

    -13 = 1 (they do not equal the same so no)

Evaluate if x = 1 , y = 3 , and z = 5

|5z - 2y|

Answers

Answer:

1

Step-by-step explanation:

Find lcm of 861,1353 using methods

Answers

Answer:

Step-by-step explanation:

3 ∣ 861,1353

______________

41 ∣ 287,451

______________

7 ∣ 7,11

______________

11 ∣ 1,11

______________

      1,1

LCM = 3 × 41 × 7 × 11

= 9471.

Hope this helps

plz mark as brainliest!!!!!!

Answer:

861 = 3×7×41

1353 = 3×11×41

LCM = 3×7×11×41

= 9471

Step-by-step explanation:

A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit.

Answers

T= trip. M = miles. Mpm = miles per minute

Get the total miles
T x M
6 x 500 = 3000 miles

Find how many minutes did it travel
Total miles / by Mpm
3000/ 11

Can someone please help?

Answers

Answer:

Even

Step-by-step explanation:

An odd number added by an odd number will equal an even number.

Good luck :)

Answer:

Even

Step-by-step explanation:

All the answers to adding up odd numbers in the bellow examples shows even answers.

solve the system of equations. please help asap! i appreciate it!

Answers

Answer:

B. (-1, 2) and (4,7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

The answer is b hope it helps

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2. Find the average speed over the given time intervals. [1, 2]

Answers

Answer:

50.42m/s

Step-by-step explanation:

Average speed is the change in distance of a body with respect to time. This is expressed as:

[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]

Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]

t₁ = 1sec and t₂ = 2 secs

y(t₂) = 56t₂ − 1.86t₂²

y(2) = 56(2) − 1.86(2)²

y(2) = 112-7.44

y(2) = 104.56

y(t₁ ) = 56t₁  − 1.86t₁ ²

y(1) = 56(1) − 1.86(1)²

y(1) = 56-1.86

y(1) = 54.14

Substituting the derived value into the formula for finding the average speed:

[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]

Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s

A line with a slope of -2/5 that passes through the point (-10,8)

Answers

Step-by-step explanation:

[tex]m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the values into the equation

[tex]y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\ [/tex]

[tex]y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\ [/tex]

[tex]y = - \frac{2}{3} x + \frac{4}{3} [/tex]

To solve for x-intercept , Arrange the values in

[tex]ax + by + c = 0[/tex]

=

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0[/tex]

To find x-intercept .let y = 0 in the above equation

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\ [/tex]

[tex] - \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3} [/tex]

Solve for x ;

[tex]x = 2[/tex]

To find y intercept , let x = 0

and solve for y .

I hope it helps <3

y = mx + b    

m = -²/₃ and line pases  through (-10, 8) so:

8 = -²/₃(-10) + b

8 = ²⁰/₃ + b

b = 8 - ²⁰/₃

b = 8 - 6²/₃

b = 1¹/₃

b = ⁴/₃

Slope Intercept Form:

                                   y = -²/₃x + ⁴/₃

x-intercept:

-²/₃x + ⁴/₃ = 0

-²/₃x =- ⁴/₃

x = - ⁴/₃ ÷(-²/₃)

x = 2                  

                                   (2, 0)

y-intercept:

y =  -²/₃•0+ ⁴/₃ =  ⁴/₃

                                   (0, ⁴/₃)        

Need an answer I need help?

Answers

Answer:

You need help or I need help?

Step-by-step explanation:

(I typed with a keyboard)

Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 15, and 13
Choose the correct

Answers

Answer:

15x + 13

Step-by-step explanation:

Product of a number 'x' & 15 : x *15 = 15x

Sum of 15x & 13:

15x + 13

Simplify: (6x-4) (9x-2)

Answers

Step-by-step explanation:

Hey, there!!

While simplifying the algebraic expression, you must be very careful about the signs.

Here,

(6x-4) (9x-2)

Multiply 2nd expression by 1st expression,

= 6x ( 9x - 2) -4 ( 9x - 2)

[tex] = (54 {x}^{2} - 12x) - (36x - 8)[/tex]

Opening brackets,

[tex] = 54 {x}^{2} - 12x - 36x + 8[/tex]

Simplifying them we get,

[tex] = 54 {x}^{2} - 48x + 8[/tex]

Therefore, the answer is 54x^2 - 48x +8.

Hope it helps..

Which formula defines the sequence f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14.
f(5) = 18?

Answers

Answer:

2 + 4(n-1).

Step-by-step explanation:

As x increases from 1,  f(x) increases  by 4.

Arithmetic sequence.

So the formula is  a1 + d(n - 1)

= 2 + 4(n-1).

The function which defines the series will be 2 + 4(n-1).

What is a number series?

A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-

As x increases from 1,  f(x) increases by 4. Arithmetic sequence.

F = a₁+ d(n - 1)

F = 2 + 4(n-1).

Therefore, the function which defines the series will be 2 + 4(n-1).

To know more about the number series follow

https://brainly.com/question/6561461

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I NEED HELP WITH THIS FAST!! PLS Which of the following is the midpoint of the line segment with endpoints (-2, – 4) and (6, 8)?
A. (2, 2)
B. (2, 4)
C. (4, 4)
D. (4, 6)

Answers

Answer:

A

Step-by-step explanation:

q+ad=m solve for d, i need help now please!

Answers

Answer:

d =(m-q)/a

Step-by-step explanation:

[tex]q+ad=m\\ad = m-q\\\frac{ad}{a} = \frac{m-q}{a} \\\\d = \frac{m-q}{a}[/tex]

Answer:

d =  ( m-q)/a

Step-by-step explanation:

q+ad=m

Subtract q from each side

q-q+ad=m-q

ad = m-q

Divide each side by a

ad/a = ( m-q)/a

d =  ( m-q)/a

May someone answer me????

Q1. What is the solution set of 9x-4<13x-7

A. [1,2,3]
B. [1,2,3......]
C. [0,1,2,3...]
D. [0,1,2,3]​

Answers

Answer:

[tex]\huge\boxed{B. [1,2,3,........]}[/tex]

Step-by-step explanation:

[tex]9x - 4 < 13 x - 7[/tex]

Combining like terms

=> [tex]-4 + 7 < 13x-9x[/tex]

=> [tex]3 < 4x[/tex]

Dividing both sides by 4

=> [tex]x > \frac{3}{4}[/tex]

=> [tex]x > 0.75[/tex]

This means that x can be any number that is greater than 0.75

So, The solution set = [1,2,3,........]

Christopher is designing a rectangular fence to go around his school's chicken coop The length should be 2 ft longer than the width Christopher marks two vertices of the rectangle at Pando in the coordinate plane PO is one of the shorter sides. Each unit in the coordinate plane represents ift Daw rectangle PORS in the coordinate plane to model the fence b. How many feet of long does wed to go around the chicken coop! pls help​

Answers

Answer:

Christopher needs 24 feet of fencing. Your rectangle should be 5x7 feet.

Step-by-step explanation:

Line PO is 5 feet wide, and we know that the side across from it is 5 feet wide. 5+5=10. The longer sides are supposed to be 2 feet longer than the shorter sides, so they have to be 7 feet long. 7+7=14. 10+14=24.

Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?

Answers

Answer:

17

Step-by-step explanation:

$4.25 - 17 quarters

$3.10 - 31 dimes

Answer:

17 quarters and 31 dimes are in the jar

Step-by-step explanation:

First, you need to set up two equations based on the information given.

First is an equation for the total number of coins:

48 = d + q

d = dimes

q = quarters

Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).

7.35 = .1d + .25q

Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.

48 = d + q

d =  48 - q

Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.

.1(48-q) +.25q = 7.35

4.8 - .1q + .25q = 7.36

4.8 + .15q = 7.35

.15q = 2.55

q = 17

Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q

48 = 17 + d

d = 31

I hope this helps!

-TheBusinessMan

What is the quotient when the product of 20 and 5 is divided by the sum of 20 and 5?

Answers

Answer:

=4

Step-by-step explanation

(20x5) divided by (20+5)

100 divided by       25=4

Answer:

its 4

Step-by-step explanation:

5 four times is 20. Count by fives and once you get to 4 you'll get 20.

write a letter to your friend and tell him at least three reasons why he should come to your school​

Answers

Answer:

hi my friend I can't come to the school because of these three reasons is

1)I went to tirupati

2)I got I'll

3)I went to my grand parents house

this is your answer bro

x-3 divided by 4 = 12

Answers

Answer:

x = 51

Step-by-step explanation:

(x-3) /4 = 12

Multiply each side by 4

(x-3) /4 *4 = 12*4

x-3 = 48

Add 3 to each side

x-3+3 = 48+3

x = 51

Answer:

[tex]\Huge \boxed{x=51}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x-3}{4} =12[/tex]

Multiplying both sides by 4.

[tex]\displaystyle \frac{x-3}{4} *4=12 *4[/tex]

[tex]x-3=48[/tex]

Adding 3 to both sides.

[tex]x-3+3=48+3[/tex]

[tex]x=51[/tex]

[tex]\rule[225]{225}{2}[/tex]

Which phrase is equivalent to the expression (17×4)−35?

Answers

Answer:

-2380

Step-by-step explanation:

you first multiply 17 by 4

next multiply 68 by 35

you get 2380

finally add a negative sign in front of it

Solve for x:
9x - 3 - 8x = 7 - x
x= -7
x=-2
x = 4
x = 5

Answers

Answer:

x = 5

Step-by-step explanation:

Given

9x - 3 - 8x = 7 - x , that is

x - 3 = 7 - x ( add x to both sides )

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

Step-by-step explanation:


show all work to multiply 3 plus the square root of negative 16 times 6 minus the square root of negative 64

Answers

Answer:

[tex]\Huge \boxed{3+16i}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]3+\sqrt{-16} * 6-\sqrt{-64}[/tex]

Using imaginary number rule : [tex]\sqrt{-n} =\sqrt{n} *i[/tex]

Where [tex]n[/tex] is a positive integer.

[tex]3+\sqrt{16} *i* 6-\sqrt{64}*i[/tex]

[tex]3+4i* 6-8i[/tex]

Multiplying.

[tex]3+24i-8i[/tex]

Combining like terms.

[tex]3+16i[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

3 + 16i

Step-by-step explanation:

3 + √-16 * 6 - √-64

= √-16 * 6 = 24i;    √-16 * 6;     √-16 = 4i

= 4 * 6i    multiply the numbers 4 * 6 = 24

= 24 i

√-64 = 8i;   √64    apply a radical rule

= √-1 √64

= √64  i;    √64 = 8

= 8i

= 3 + 24i - 8i

= 3 + 16i

20 points!!! please please help I don't understand how to do this :( please explain it so that I can do problems similar​

Answers

Answer:

Line n

Step-by-step explanation:

We see on the picture that XM=MY

So M is midpoint of the segment XY

Line n passes through midpoint M, so it is the segment bisector of XY

Correct choice is Line n

-8(2z - 7c) use z = 5 and c = 2

Answers

Answer:

The answer is

-8(2×5-7×2)

=-8(10-14).

= -8(-4)

= 32.

Answer is 32

Step 1. Solve inside the parentheses so 2x5= 10 and 7x2=14 then you have -8(10-14)

Step 2. Distribute -8 so -8x10= -80 and -8x14= -112 = -80- -112

Step 3. Subtract totals: -80- -112 = 32 it’s a positive because of the two negatives being subtracted together
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