Solve the quadratic equation.

Solve The Quadratic Equation.

Answers

Answer 1

Answer:

Step-by-step explanation:

-9 + sqrt(9^2 - 4(1)(-36)

               2

-9 + sqrt(81 + 144)

            2

-9 + sqrt(225)

          2

-9 + 15

    2

(-9 + 15)/2 = 6/2 = 3

(-9 - 15)/2= -24/2= -12

answer is B

Answer 2

Answer:

[tex]x = 3, x = -12[/tex]

Step-by-step explanation:

Hello!

We can factor the quadratic by grouping. We have to find two numbers that add up to 9 but multiply to -36.

The two numbers are 12 and -3. Expand 9x to 12 x and -3x.

Factor by Grouping[tex]x^2 + 9x - 36 = 0[/tex][tex]x^2 +12x - 3x -36 = 0[/tex][tex]x(x + 12) - 3(x + 12) = 0[/tex][tex](x - 3)(x + 12) = 0[/tex][tex]x = 3, x = -12[/tex]

The answer is Option B. x = 3 or -12.


Related Questions

Find the discount to the nearest cent for: $50 shoes, 30% off.

Answers

Answer:

https://www.calculatorsoup.com/calculators/financial/sale-price-calculator.php

Step-by-step explanation:

plz help me!!!!!!!!!!!!!!​

Answers

Answer:

10/3

Step-by-step explanation:

A medicine dropper releases about 1 liter of medicine in a day. How many milliliters of medicine would be released in an hour?

Answers

Answer:

41.7 ml milliliters of medicine would be released in an hour.

Step-by-step explanation:

1 day = 1 Liter

24 hours = 1000 ml

Now,

1000/24 = 41.7 ml

Thus, 41.7 ml milliliters of medicine would be released in an hour.

-TheUnknownScientist 72

Answer:

41.7 ml milliliters of medicine would be released in an hour.

Step-by-step explanation:

can someone tell me the answer to. 16 = 2(2x + 4)​

Answers

Answer:

16= 4x+8

16-8=4x

x=8/4

x= 2

Step-by-step explanation:

16=2(2x+4) 16=(2×2x) + (4×2) 16= 4x+8. 16-8=4x+8-8. 8=4x. 8/4=4x/4. 2=x

Point (-1,3). m= Undefined.

Find the equation of the line that contains the given point and has the given slope.
And explain..

Answers

Answer:

m=1/0 (undefined)

equation=y2-y1/x2-x1=y-y1/x-x1

since M is undefined and M=y2-y1/x2-x1

then the equation=y-y1/x-x1=1/0

y-3/x--1=1/0

cross multiplying

0 (y-3)=1 (x+1)

=x+1

a line has a y-intercept on -11 and a slope of .25. Write it's equation in slope intercept form

Answers

Answer:

[tex]y = \frac{1}{4} x - 11[/tex]

Step-by-step explanation:

Slope- intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Slope

= 0.25

= ¼

Substitute m= ¼ into the equation:

y= ¼x +c

Given that the y-intercept is -11, c= -11.

Thus, the equation of the line is y= ¼x -11.

what is the value of x?

Answers

Answer:

x = 51°

Step-by-step explanation:

The image of the triangle is an isosceles triangle. Since it is an isosceles triangle, ∠DFE = ∠FDE.

78 + x + x = 180

=> 2x = 102

=> x = 51°

Hoped this helped.

A balloon with a 50 ft string makes an angle of 39 degrees with the ground. How high above the ground is the balloon if the land of the person holding the balloon is 5 ft above the ground?

Answers

Answer:

Step-by-step explanation:

This is late but the other is not an answer at all.

The 50 ft string makes an angle of 39 degrees with the ground so the stromg and balloon form a right-angle triangle to the ground.

The height of balloon from string = 50*sin(39degrees)

= 31.47 ft

As the string is held by a person 5 ft above ground, the balloon is above ground at 31.47 + 5

= 36.47 ft.

PLEASE HURRY!!!!
Which table represents a linear function?


Answers

Answer:

1st

Step-by-step explanation:

Find the values of a and b that make each equation true.
1) 3 – 36i = 9a + 4bi
2) a – 15i = -7 – (2b-3)i

Answers

Step-by-step explanation:

1) 3 – 36i = 9a + 4bi

3 = 9a => a = 3/9 =

-36 = 4b => b = -36/4 = -9

2) a – 15i = -7 – (2b-3)i

a = -7

-15 = -(2b-3)

2b-3 = 15

2b = 18

b = 18/2= 9

Lewis buys a bag of almonds from the bulk food section. Almonds cost $9.99 per pound. The bag of almonds that he buys weighs 2.1 pounds. How much will Lewis pay for his bag of almonds before tax?

Answers

Breakdown: $9.99 for every pound, 2.1 pounds

Equation: 9.99 x 2.1 = 20.97

Answer: $20.97

Answer:

20.98$

Step-by-step explanation:

What is the question of the line shown



X= -13
X= -13y+1
Y= -13
Y= -13y+1

Answers

Answer:

x=-13

Step-by-step explanation:

the line is on the x axis and cant change its x axis of -13

graph the equation on the coordinate plane. y = 4x

Answers

The graph of the equation, y = 4x, is shown below.

How to Graph an Equation on a Coordinate Plane?

Given an equation, for example, y = 4x, to plot it on a coordinate plane, we need to find the coordinates of the line that we would plot and connect together to graph the equation.

Find the corresponding y-values when x = 1, x = 2, and x = 3. To do this, see the steps below:

Substitute x = 1 into y = 4x:

y = 4(1)

y = 4

We have a point, (1, 4).

Substitute x = 2 into y = 4x:

y = 4(2)

y = 8

We have another point, (2, 8).

Substitute x = 3 into y = 4x:

y = 4(3)

y = 12

We have a third point, (3, 12).

Plot the three points on a coordinate plane as shown below to get the graph of the equation.

Learn more about graph of an equation on:

https://brainly.com/question/21302696

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20 POINTS HELP, WILL GIVE BRAINLIEST IF CORRECT! (Only if two people answer I will give brainliest)

Answers

Answer:

Bottom(equation 3)=No solution

Middle(equation 2)= Infinite solutions

Top(equation 1)=1 solution

Step-by-step explanation:

Brainly pls I hope this helps

1) 1 solution
2) infinite solutions
3) no solutions

PLEASE HELP ME OUT
STOP WITH LINKS

NAME AT LEAST 3 DIFFERENCES AND SIMILARITIES BETWEEN TU AND USTED

Answers

Answer:

Tu is for u then Usted is like the form to say it but formal

Step-by-step explanation:

help me pls need help​

Answers

Problem 1

w = width

w+36 = length, because it's 36 feet longer compared to the width

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

Problem 2

The area w(w+36) is less than 2040, and it's also larger than 0.

We can write that as [tex]0 \le w(w+360) \le 2040[/tex] which is the same as [tex]0 \le w^2+360w \le 2040[/tex]

If you wanted to drop the first part, then you can say either [tex]w(w+360) \le 2040[/tex] or [tex]w^2+360w \le 2040[/tex]

I used the formula area = length*width

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

Problem 3

There are many possibilities here. Let's say w = 10 feet. If so then the length would be w+36 = 10+36 = 46 feet. This 10 by 46 rectangle has an area of 10*46 = 460 square feet which is under the 2040 sq ft limit.

Another possibility is that w = 20 ft and w+36 = 56. This 20 by 56 rectangle has an area of 20*56 = 1120 sq ft.

It turns out you can pick any value of w between 1 and 30, assuming you only restrict yourself to integers. You can find the largest possible value of w by solving the equation w(w+36) = 2040. The positive solution to this equation is roughly w = 30.62

Side note: even though something like w = 1 is possible, it's not very realistic. A conference hall that's only 1 ft wide won't be able to fit a person comfortably unless they don't mind being sandwiched between two walls and have to walk sideways.

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

Problem 4

If you solved w(w+36) = 360 with a graphing calculator or the quadratic formula, then you would find the positive solution for w is roughly 8.15

If your teacher is considering positive real numbers, then this is realistic; however, if they are only considering positive integers, then something like w = 8.15 isn't possible.

Christina drove to school slowly during a rainstorm. It took her 15 minutes to get to her school, which was 4.5 miles away. Which graph can be used to find the speed at which Christina drove to school?
10 POINTS !! you got this

Answers

the answer is second graph

Multi Step Problem (Show work PLEASE)
14m - 10 = 4x + 18​

Answers

Answer:

x = 7/(m - 2)/2

Step-by-step explanation:

So the picture I attached should have the work

326×8546=_______________________________________________________________
Me ajudem

Answers

The answer to 326*8546 is 2,785,996

A rectangular garden measures 8 x 6 meters. It is desired to remove part of the garden to install a uniform sidewalk of witdh (x) around of such garden. The surface of the new garden must be 1/6 of the old garden. Determine the witdh (x) of the sidewalk of the new garden.
(Using quadratic formula)

Answers

Yes it’s that way too much but I’ll be fine I don’t feel good at work but I’ll be home in a little while I have a few things

The width of the sidewalk is 1.155.

What is a rectangle?

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

Given that,

The dimension of the rectangular garden is  8 x 6.

The surface of the new garden is 1/6 th of the original one.

Suppose the width of the side walk is x.

Then, the dimensions of the sidewalk is given as (8 - 2x)  x (6 - 2x).

As per the question the following equation can be written for the area of new garden,

(8 - 2x)  x (6 - 2x) = (1/6) (8 x 6)

=> 48 - 4x²- 30x = 8

=> 4x² + 30x - 40 = 0

Solve the above quadratic equation to get,

x = -8.655, 1.155

Since the width cannot be negative, the value of x is taken as 1.155.

Hence, the width of the sidewalk of the new garden is 1.155m.

To know more about rectangle click on,

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Help me with this please please please some pieces were planted in three different soils( clay, sand, Loam) under similar conditions. You want to find out from which style the P will go tallest after 7 days choose the most appropriate way to collect the data experiment interview questionnaires or observation

Answers

clay due to the thickness of
It and
The moisture

8. Denise using a ladder to clean the outside of her second story windowsThe ladder she is using is 34 feet long , and she puts the base of the ladder 15 feet away from the houseHow high up the side of her house does the ladder reach Round to the nearest tenth , If necessary

Answers

Answer:

30.5 ft

Step-by-step explanation:

Right triangle: a^2 + b^2 = c^2

15^2 + x^2 = 34^2

225 + x^2 = 1,156

x = sqrt (1156 - 225)

x = 30.5 ft


3. Explain why 2x + 6 = 8 and 2x are equivalent and have the same solution.

Answers

Answer:

X = 1

Step-by-step explanation:

2x + 6 = 8

2x [+6 = 8

2x = 8 - 6

2x = 2

x = 1

Help would be much appreciated

Answers

Answer:

D: 5

E: -2x

F: x^1

Step-by-step explanation:

4*5=20

-14x/7=-2x

x^3/x^2=x^1

the last one may not be write but I think that they are all correct

6. Johnny is a plumber, and Darnel is an electrician. Johnny
charges customers a fee of $150 just to come to their house
and then $75 per hour that he is there. Darnel charges a fee
of $50 for a home visit, plus an additional $125 per hour. How
long do they work to earn the same amount?
a

Answers

Answer:

2 hours

Step-by-step explanation:

Equations for each

Johnny:

J(x) = 75x + 150

Darnel:

D(x) = 125x + 50

In order to get J(x) = D(x) we need to make right sides equal and solve for x:

75x + 150 = 125x + 50  125x - 75x = 150 - 50 50x = 100  x = 2

Please help me with this math problem I'm stuck on!! Will give brainliest!! Due tonight at 11:59pm!!

Answers

Answer:

can you give me a base line of whats happenung

`

Step-by-step explanation:

Tara's Ice Cream Shop sold 20 sundaes. 2 of the sundaes had nuts on top. What is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

18:?

Answers

Answer:

18-2

Step-by-step explanation:

the ratio for the shop is 18-2 18 without nuts for every 2 with nuts

Answer:

im pretty sure its 18:2

Step-by-step explanation:

What is the answer to 3/4 x 7/9? I really need help

Answers

7/12

Hope this helped

Fractions can be multiplied directly across as follows:
3 7 21
— x — = ——
4 9 36

We can then divide the numerator and denominator by 3 to simplify to 7/12.

Please help me with this homework

Answers

Answer:

domain is -5, -2, 1, 5

range is 10, 11, 4, 10

Step-by-step explanation:

domain means all x values. range means all y values

2n+3pm=7px solve for x

Answers

Answer:

x is being multiplied by 7p so to find x you need to have it alone on one side of the problem, so you could divide both sides by 7p, making it look like 2n+3pm/7p=x (simplify if needed)

Step-by-step explanation:

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