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

(This is for my Algebra ll project all you need to do is answer this question) How many siblings do you have?

Answers

Answer:

I have two Sisters

Step-by-step explanation:

Isaac earns 7% commission as a salesperson. He's an old a coat that cost $69. How much commission did Isaac earn?

Answers

Answer:

4.83

Step-by-step explanation:

69$ is the sell price

7% is the commission rate

69$ x 7% = 4.83

what two numbers multiply to 15 and add to -8?

Answers

Answer:

-3 and -5

Step-by-step explanation:

because two negatives equal a positive

idek if this is correct

sorry if its not

What is the slope of (10,3) and (2,3)

Answers

Answer:

m=0

Step-by-step explanation:

the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)

we are given the points (10,3) and (2,3)

label the values of the points to use for the formula:

x1=10

y1=3

x2=2

y2=3

plug into the formula

m=(3-3)/(2-10)

subtract

m=0/-8

divide

m=0

therefore, the slope is 0

Hope this helps! :D

0/-8

i’m not very good at explaining but that is the answer ^^

What is the volume of this figure

Please help me

Answers

I think it’s 840 cubic inches.
840 cubic inches!
I think that it’s thing bc I’m just trying to fill space

write these numbers in order of size starting with the smallest number. 5 to the power of -1, 0.5, -5, 5 to the power of 0​

Answers

Answer:

5^-1, 0.5, 5^0

Step-by-step explanation:

Convert all numbers so that they have the same format.

5^-1 = 0.2

5^0 = 1

Compare:

0.2 < 0.5 < 1

This would be the order of size starting with the smallest.

Make sure you use the numbers in the problem and not the ones that were simplified.

A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,

Answers

Answer: x = 7.5

Step-by-step explanation:

Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )

The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.

a = 4                              First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]

b = x                         Second: [tex]16+x^{2}=72.25[/tex]  

c = 8.5                          Third: [tex]x^{2}=56.25[/tex]

                                  Fourth: [tex]x=\sqrt{56.25}[/tex]

                                      Fifth: x = 7.5

find the angle of 1 and 3

Answers

Answer:

Angle of 1 and 3 as 90*

Step-by-step explanation:

This is because all angles are the same meaning all angles are 90*. Even 1 and 3. Brainiest and a thank you?!

Answer:

We really aren't provided with enough information to give you the answer. I'll explain how to find them, but you should comment on my response and tell be if it gives you any values at all to work with.

So, ∠1 and ∠3 are vertical angles, which means they are equal to each other.

Along with that, ∠2 and ∠4 and also vertical angles, so they're equal to each other as well.

Now we have the information:

∠1 = ∠3

and

∠2 = ∠4

__________________________________________________________

Given that both of the two lines are intersecting, each angle has two angles that it is supplementary to.

Supplementary angle are angles that when added together equal exactly 180°.

A perfectly straight line's angle it 180°.

Using this knowledge, you can find that ∠1 is supplementary to ∠2, ∠2 is supplementary to ∠3, ∠3 is supplementary to ∠4, and ∠4 is supplementary to ∠1.

If that's still confusing, here's it explained simpler:

∠1 + ∠2 = 180°

∠2 + ∠3 = 180°

∠3 + ∠4 = 180°

∠4 + ∠1 = 180°

__________________________________________________________

But still - you haven't given us the information to find these values. Are you given even one angle measurement to work with?? If so, comment it here and I'll work it out for you.

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

A

cuz polynomials cannot have negative exponents

Step-by-step explanation:

Quadrilateral RUST has a vertex at R(2, 4).
T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)

Answers

Given:

The coordinate of point R in quadrilateral RUST are (2,4).

R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 3, centered at the origin, then

[tex](x,y)\to (3x,3y)[/tex]

We value R(2,4).

[tex]R(2,4)\to R_1(3(2),3(4))[/tex]

[tex]R(2,4)\to R_1(6,12)[/tex]

The rule of translation is:

[tex](x, y)\to (x+4,y)[/tex]

Using this rule, we get

[tex]R_1(6,12)\to R'(6+4,12)[/tex]

[tex]R_1(6,12)\to R'(10,12)[/tex]

Therefore, the coordinates of point R' are (10,12) and the correct option is B.

Are the pink arcs congruent?

Answers

Answer:

Yes, they are congruent.

Step-by-step explanation:

Supplementary angles equal up to 180°.

70+40 = 110

180 - 110 = 70.

Angle BAE is 70°.

And, angle ADC is 70° as well.

Therefore, the pink arcs are congruent.

Coach Miguel bought 3 identical soccer balls for his soccer team. After applying a $25.00 store gift card, his total was $13.97. Which equation can be used to calculate by the price of each soccer ball?
A 3b - 25 = 13.97
B. 3b + 25 = 13.97
C. 1/3b - 25 – 13.97
D. 1/3b + 25 = 13.97​

Answers

Answer:

F the person that Post the question

Step-by-step explanation:

He said he couldn’t give me the answer because we went to different schools like who does that

Type the correct answer in each box. Use numerals instead of words.
Bethany collected 200 survey responses regarding recycling behaviors in her city of those responses, 174 people responded that they
participate in the city's recycling program.
Use this information to complete the statement. Round all answers to the nearest hundredth.
, which means that
% of the people surveyed do not participate in the city's
The approximate sample proportion is
recycling program.

Answers

Answer:

Step-by-step explanation:

Answer:

1st one 0.87

2nd one 13

PLATO

Step-by-step explanation:

Multiply the 2nd equation by -4. What value belongs in the green box?

Answers

it would be -12x, 3x(-4) = -12x.

PLS HELP IVE BEEN ASKING FOR 4 HOURS NOT A SINGLE PERSON HAS BEEN RIGHT ITS PAST DUE :( JUST TROLLS I WILL GIVE BRAINLIEST JUST PLS HELP

Answers

Answer:

square on the side - 7

first square on top 3

last square 10

Step-by-step explanation:

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 5 of the salads sold were Caesar salads, how many total salads did the restaurant sell?​

Answers

Answer:

20

Step-by-step explanation:

What percent of 91 is 79

Answers

86.81

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

baii ^^

Answer:

79/91 = x%

0.8681318681 %

79 is about 86.81%  of 91

Step-by-step explanation:

Can you explain how the answer to this question is 8 plz!! Thank chu What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem! I promise to give the best answer brainliest!

Answers

Answer:

3.9

Step-by-step explanation:

i need more detale """))

Answer:

0.2 is 8% of 2.5

Step-by-step explanation:

question: what percent of 2.5 is 0.2

paraphrased: 0.2 is what fraction of 2.5 (then convert to percent)

make into fraction

0.2/2.5

=2/25

therefore 0.2 is 2/25ths of 2.5  !

to convert to percentage, make the denominator /100

2/25

multiply by 4 both sides

= 8/100

8 out of 100 is 8%

=8%

hope this helps !

I need help this is due today

Answers

Answer:

h = 14

Step-by-step explanation:

just substitute the x value and calculate for h

x = (-18)

h = 17 + -(18)/6

h = 17 + (-3)

h = 17 - 3 = 14

(TUTORS WHERE R U?? KIDS NEED HELP LIKE ME!! ILL GIVE BRAINLYY)

Answers

Answer:

11. 10x^2 - 13x - 3

12. 5x^2 + 18x + 5

Step-by-step explanation:

11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).

[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)

So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]

12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).

[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]

Hopefully, this helped you. Good luck & have a good day!

(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible

Answers

Answer:

Likely

Step-by-step explanation:

The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.

Can someone answer this question please, and also show the work.

The question: x+5<6

Answers

Answer:

x<1 I believe.

Step-by-step explanation:

Subtract -5 from 5 and do the same with the other side making the other side 1. So you get left with the answer.

to which sets of numbers dose-1/4 belong. select each correct answer.

A. rational numbers

B. irrational numbers

C. real numbers

D. integers​

Answers

Answer:

Rational.

Step-by-step explanation:

Natural numbers are numbers 1 through infinite.

Whole numbers are numbers 0 through infinite.

Integers are negative numbers (No decimals nor fractions)

Rational numbers are fraction/decimal numbers (can be negative).

Irrational numbers are squared numbers.

Real numbers includes all of the above mentioned.

Hope this helps.

Answer:

A. rational numbers

Step-by-step explanation:

-1/4 belongs to rational number

What is the value of the negative zero of the function g(x) = 3x2 + 14x - 5?​

Answers

Answer: -5

Step-by-step explanation:

The value of negative zero in g(x) = 3x² + 14x - 5 is 1.

What is Descarte's rule of signs in a polynomial?

Descarte's rule for no. of at most positive real roots in a polynomial is the no. of sign changes in the polynomial.

Descarte's rule for no. of at most negative real roots in a polynomial f(x) is the number of sign changes in f(-x).

All the other left over roots are imaginary and come in conjugate pairs.

The number of negative of f is equal to the number of sign changes of successive terms of f(-x).

Given, g(x) = 3x² + 14x - 5.

Now, g(-x) = 3(-x)² + 14(-x) - 5.

g(-x) = 3x² - 14x - 5.

The signs are +, -, - so only one sign changes.

learn more about Descarte's rule of polynomial here :

https://brainly.com/question/28747313

#SPJ2

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

Answer:

Hello, the answer for your question is c (the expression has a variable in the denominator of a fraction)

Step-by-step explanation:

Brian and Mark are fishing. They both catch a fish. Brian's fish weighs 17 pounds less than Mark's fish. Mark's fish weighs 22 pounds How much does Brian's fish weigh, in pounds?

Answers

Answer:

5 pounds.

Step-by-step explanation:

22 - 17 = 5

what is the area of the circle

Answers

Answer:

12.56

Step-by-step explanation:

3.14 times r^2

Miss Laura by 12 pounds and 8 ounces of flour she used 4 ounces of flour in each batch of sugar cookies how many batches of sugar cookies did she make

Answers

Answer:

50

Step-by-step explanation:

so if 16 ounces are in each pound

lets multiply 12 x 16 = 192

now we have the pounds out add the leftover ounces

192 + 8 = 200

now that we can divide, but wait there is more to make its easier!

if 4 x 5 = 20

and 4 x 100 = 400

lets do 4 x 50 = 200

so now that 4 x 50 = 200

Miss Laura can make 50 batches of cookies.

why are these math questions so weird for elementary schoolers?

What is the slope of the line that passes through the points (3,2) and (-1,-4)? Write your answer as a fraction in simplest form

Answers

Answer:

Slope: -1/2

Step-by-step explanation:

Take a look at the slope formula

2-(-4)/3-(-1)

=-2/4

=-1/2

HELP PLEASE
Determine the solution to the following system of equations.

y = -2x2 + 4x + 8
y = -4x + 16

Answers

Answer:

(x, y) =([tex]\frac{9}{2}[/tex], -2)

um yuh?

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