Which would be the best method to use to solve the following equations? Explain your reasoning.
Use each method only once.

Factoring
Square root Property
Completing the square
Quadratic Formula

A. 3x^2-192=0
Method:
Why:

B. x^2-x-6=0
Method:
Why:

C. x^-6x-7=0
Method:
Why:

D. x^2-17x-7=0
Method:
Why:​

Answers

Answer 1

A. square root property

[tex]3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}[/tex]

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format

B. factorising

[tex]x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3[/tex]

i just felt like this was easier to factorise than the other 2 options left

C. Completing the square

[tex]x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7[/tex]

same reason personal preference

D- Quadratic

[tex]x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402[/tex]

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal


Related Questions

Alexis, Bart, Chuck, and Dariah all called in to a radio show to get free tickets to a concert. List all the possible
orders in which their calls could have been received.

Answers

Answer:

heh u have to write a lot

Step-by-step explanation:

Question 5 (4 points)
(04.05)

Which description best describes the graph? (4 points)

A graph is shown. The line begins at the origin and moves in a downward curve through the points 1 comma -1, 2 comma -3, and so on
a
Linear increasing

b
Linear decreasing

c
Nonlinear increasing

d
Nonlinear decreasing

Answers

I think it’s D bc yes and yes and yes

Answer:

The answer is D

Step-by-step explanation:

Last week, Mahmoud drove 109 kilometers. This week, he drove n kilometers. Using n, write an expression for the total number of kilometers he drove in the
two weeks

Answers

Last week: 109
This week: n
We need the total, so T=109+n where T is the total number of kilometers driven.

I'm genuinely confused​

Answers

Answer:

Basically what you wanna do is find all points on the x axis since it is at 0 y

So the answer is -2 1 or 3 only

3600 divided by 1760?

Answers

Answer:

[tex]3600 \div 1760 \\ \\ = 2.04545[/tex]

The sum of 1/4 and three times a number is equal to 2/3 subtracted from four times the number. Find the number.

Answers

Answer:

5

Step-by-step explanation:

anyone please help me​

Answers

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

Use midterm splitation

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]

The equation has two solutions:x=5, x=-1

Graph is in the attachment!!

Rewrite 5/12 and 3/4 so they have a common denominator

Answers

Answer:

5/12 = 5/12

3/4 = 9/12

Step-by-step explanation:

The common denominator is 12.

5/12 is already in the common form.

3/4= 3*3 / (4 * 3) = 9/12

Approximate the length of the diagonal of the rectangle to the nearest tenth. The sides are 10 and 18

Answers

Answer:

20.59

Step-by-step explanation:

Find the x - and y- intercepts of the graphs of the linear equation 2x + 3y = 12
The x intercept is ?
The y intercept is ?

Answers

Answer:

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

x

=

6

+

3

y

2

2x+3y=12
3y-2x=12
y=-2/3x+4
The y intercept is (0,4)
The x intercept is (6,0)

Please helppp
I’ll mark

Answers

3 *7=21
1 *21=21
That’s simple enough

DerekPangrel60 Answer this question​

Answers

Answer:

hello thank you for brainliest

Kendjs akdjksdj aksjsksk aldjksjs skdkss kasjosd kajsis kadjks skdj

A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?

Answers

Answer:

0.3 pounds

Step-by-step explanation:

[tex]0.5 - 0.2 = 0.3[/tex]

what is the probability of selecting four red cards from a standard deck if each card is replaced before the next one is selected

Answers

Answer:

1/16

Step-by-step explanation:

1/2 * 1/2 * 1/2 * 1/2

=1/16

Error Analysis Describe and correct the error made in solving the literal
equation at the right for n.
*need help asap!*

Answers

Answer: 2m+1/2

Step-by-step explanation: 2m=-6n+3

2m-3=-6n

(2m-3)/-6

n= 2m+1/2

What is the least common denominator of 1/2 and 17/20

Answers

17/40 I think cause if u time 1 and 17 it’s 17 and 2 times 20 40

How many different 9-letter "words" can you
make by arranging the letters in DEVIATION?
The arrangements don't have to be actual words
that are included in any dictionary.

Answers

There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.

To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.

The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.

Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.

Now, we need to find out the value of n.

The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.

Therefore, n = 9 - 2 = 7.

We will substitute these values in the formula to get the required answer:

nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040

Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

For more questions on permutations

https://brainly.com/question/28065038

#SPJ8

Which simplified equation below represents the equation of the line, y - y1 = m(x - x1), through the point (4,4) that is perpendicular to x - 3y = -18?
A: y = 2/3x + 8/3
B: y = -3x + 4
C: y = 1/3x + 4
D: y = -3x + 16
(I asked this already but some genius messed it up)

Answers

Answer:

D

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16

What is the slope of the line through (3, 2) and (-3, 4)?
5
(-3, 4)
4
(3, 2)
2
1
x
-3
-2
-1
1
2
3
4.


A. 3
B. - 1/3
C. 1/3
D. -3

Answers

Answer:

- 1/3

Step-by-step explanation:

Plllllllllleeeeeeeeeeeesssse help!

Answers

Answer:

3x + 2

Step-by-step explanation:

Find the value of the x.

Answers

Step-by-step explanation:

By angle sum property

7x-41+5x-12+2x+9 = 180

14x -44 =180

14x =224

x= 224/14

x= 16°

Answer:

thanks for this question as I also wanted it

Step-by-step explanation:

may I know in which grade are you

if mary has 36,392 ants and mary gives her 37,993 times that amount plus 3833 fewer ants how many ants does mary have? PLZ HELPP

Answers

Answer:

i dont know

Step-by-step explanation:

sorry

Jason deposits $1200 in an account that earns 7% interest compounded quarterly. How much will Jason have after 6 years?

Answers

the amount is $1819.73 and the interest is $619.73

Answer:

50400

Step-by-step explanation:

hope this helps

-5/8 does this mean the entire fraction is negative

Answers

Answer: Yes

Step-by-step explanation:

Remember, a fraction with a negative sign anywhere is a negative fraction; in other words, it represents a negative quantity. As long as you write only one negative sign, it doesn't matter whether you put it before the denominator, before the numerator or before the entire fraction

Solve −163 = −25d .

Multiple choice question.

A)
−403


B)
−3215


C)
3215


D)
403

Answers

Answer:

the answer to this question is d

Cuanto es 103+80 entre 4

Answers

Answer:

732

Step-by-step explanation:

Evaluate -2 + 7 + (-4)

Answers

1 simplify the expression

Answer:

1.

Step-by-step explanation:

+ (-4) = - 4 so we have

-2 + 7 - 4

= 5 - 4

= 1.

12 = 2x + 4x



solve and show your work. pls help.

i didn't pay attention to the class

Answers

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

12=2x+4x

12=(2x+4x)(Combine Like Terms)

12=6x

12=6x

Step 2: Flip the equation.

6x=12

Step 3: Divide both sides by 6. 6x/6=12/6

x=2

Hope you found this helpful and have good day (.

Answer:

2

Step-by-step explanation:

plus the like-terms (x plus x): 2+4

so 12=6x. get 6 out of the x-term. X is the unknown number being multiplied by 6. To get it to the other side, divide the numbers. So: 12/6=x and 12/6 is 2. so x=2.

Work out the angle of x 97degrees

Answers

Answer:

Answer is 3x

Step-by-step explanation:

120% of what number is 102 and how do you write the question? (Include a variable)

Answers

Answer:

y = 85

Step-by-step explanation:

120% times y = 102

That's how you write the equation.

Other Questions
Frank multiplied 7 and 528 and got the product 3,696.Which estimate shows that his answer is reasonable? helllpppp I need to get my grade up to a B by Thursday!! 2x=182 Value of x??? Help me with this math question. Please no links. Im giving brainliest whoever awnser coreectly and this is 5th grade Please awnser :)))What was the name of the religion of the Pueblo people?The religion was called the Hopi Way.The religion was called the Village Way.The religion was called the Southwest Way.The religion was called the Pueblo Way. At Rose's Beading Boutique, 14 out of the 56 beads on clearance are plastic. What percentage of beads on clearance are plastic?Write your answer using a percent sign (%). Graphs show relationships between two or more variables. Which three features describe a line graph?A.Shows how a variable changes in relation to another variabledoneB.Has an x-axis and a y-axisC.Shows the dependent variable on the x-axisD.Has neither an x-axis nor a y-axisdoneE.Shows the independent variable on the x-axis (secA - cosecA)^3+ 3secA.cosecA (secA - cosecA ) bru 1. Name two countries with arithmetic densities of 200+ persons per square. kilimeters.2. Name two countries with arithmetic densities of below 50 persons per square. kilimeters. 3. Low arithmetic density=______ total population. OR _________ total land4. Costa Rica & UAE both have a population of 4 million. Costa Rica has a physical density of 1803, & UAE has a physical density of 6404. This means which has more arable land?5. What can you infer about a countrys amount of arable land if there is a large difference between its arithmetic density & physiological density?6. More Developed Countries (MDCs) usually have __________ (higher or lower?) agricultural densities than Less Developed Countries (LDCs).7. Explain why MDCs dont have (or need) as many farmers per unit of arable land as LDCs.Can you help me answer these 7 questions they are due tonight by 8:00 PM In the last section of her essay, the author describes how her mother polished her grandmothers shoes on the day she had to move to a nursing home. The grandmother "left her house walking, supported by her children, carrying her pocket book, and wearing her polished black shoes." Explain why this story is significant to the author. Kill most of the hawks using the button and then click play observe the graph for about 12 months and then click phase what happen A student pushes a chair into a desk. If the student's push is the action force, then what is the reaction force in this example of Newton's third law?A. the force that the chair exerts on the desk after it is pushed inB. the force of friction acting on the chairC. the force of gravity acting on the chairD. the force from the chair on the student which five oregon cities/towns have populations greater than 100,000? Jim has a bank account balance of $15.46. As soon as he realizes this, he deposits $25.50 in the account.What is Jim's bank account balance after the deposit is made?Enter your answer in the box.$ Find the area of the figure. (Sides meet at right angles.) 3 cm 3 cm # cm cm 9 cm 4 cm 9 cm 10 cm can anyone help me with this problem with a full explanation?? thank you Angle Q measures 30 degrees. If angle Q is rotated 15 degrees, what is the measure of angle Q? What are the three parts of sound? (Select all that apply.) the transfer of energy through a medium the detection of sound the identification of pitch the energy source Read the sentences:There is evidence that suggested Nero, the Roman Emperor, enjoyed frozen treats and demanded that a constant supply of ice from the mountains be available to him. He wanted to be able to eat the delicious dessert whenever he pleased. He added honey to the top of his dessert regularly.What words in the text show that the word constant means something that occurs all the time?a. Available, regularlyb. Demanded, wantedc. Enjoyed, treatsd. Supply, dessert __% of 4 is 7 Please help Steam Workshop Downloader