Find the solution(s), if any, of the given equation using quadratic formula:
6x2 – 30x = 36

Answers

Answer 1

Answer:

x = 6 and x = -1.

Step-by-step explanation:

The given equation is :

[tex]6x^2-30x=36\\\\6x^2-30x-36=0\\\\or\\\\x^2-5x-6=0[/tex]

We can solve it using the middle term splitting method.

[tex]x^2-(6x-x)-6=0\\\\x^2-6x+x-6=0\\\\x(x-6)+1(x-6)=0\\\\(x-6)=0\ and\ (x+1)=0\\\\x=6\ and\ x=-1[/tex]

So, the solutions are x = 6 and x = -1.


Related Questions

What is the perimeter of the triangle?

Answers

Answer:

43.26 unit

Step-by-step explanation:

Hope it helps you!

Can you answer your own questions?

Answers

I don't understand what you asked?

helpppppppppppp pleaseeeeeeee?

Answers

What’s the question.??

Please help. Timed!!

Answers

Answer:

68°

Step-by-step explanation:

Since angle 1=68° and angle 5 is a corresponding angle, thus, angle1=angle 5

therefore angle 5 is 68°

Researchers studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

A) Population of interest = children between the ages of 5 and 15

Sample = 160 children between the ages of 5 and 15.

B) Yes, the results of the study can be generalized to the population if the sample is randomly selected and represents the entire population.

Yes, the findings can be used to establish causal relationship because the study is just an experiment.

Step-by-step explanation:

A) Population of interest = children between the ages of 5 and 15

Sample = 160 children between the ages of 5 and 15.

B) Sample size is 160 which is above 30.

Thus, we can say;

Yes, the results of the study can be generalized to the population if the sample is randomly selected and represents the entire population.

Yes, the findings can be used to establish causal relationship because the study is just an experiment.

GIVING BRAINY AND EXTRA PTS NO LINKS GIVE EVIDENCE

Answers

Answer:

60

Step-by-step explanation:

I think that is the best choice sorry if i got it wrong.

Answer:

60 degrees

Step-by-step explanation:

Angle 1 is already 55 degrees, if you move the y line 5 degrees clockwise then it equals 60 degrees. Angle 1 and 3 are vertical angles so they are equal, if angle 1 is 60 degrees after we move the line then angle 3 is also 60 degrees

What is the volume of a cube with 1/2 inch sides pls answer I’ll give brainliest if you answer fast

Answers

Answer:

0.125

Step-by-step explanation:

volume = l* w*h

so you have to multiply 1/2 three time

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

its either 5,7 or 9, 3

Given f(x) = 5x4 – x2 + 6x – 1. What is Limit of f (x) as x approaches negative 1?

–3
–13
–25
–29

Answers

Answer:

-3

Step-by-step explanation:

The limit of the given function f(x) = 5[tex]x^{4}[/tex] – x2 + 6x – 1 approach negative 1 will be -3 so correct option will be (A).

What is limit?

Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.

In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.

Because the value of that function at that point doesn't define.

For example, limits tend to 0 of sine x, limits tend to infinite of cosx.

Given that the function

5[tex]x^{4}[/tex] – x2 + 6x – 1

Limit is from x is tends to -1

[tex]\lim_{x \to \-1} f(x)[/tex] = 5(-1)⁴ - (-1)² +6(-1) -1

⇒ -3 hence it will be the correct answer.

For more about limits

https://brainly.com/question/12207558

#SPJ5

hi guys what is and can u please do the method 4050 divided by 100

Answers

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

The graph of y = f(x) is shown below. Find all values of x for which f(x) > 0.

Answers

Answer:

from 2 to 6

or x [2,6]

I hope it's right

convert 0.5t5kg5hg to kilogram​

Answers

Answer:

505.5kg

Step-by-step explanation:

To convert 0.5t5kg5hg to kilogram​, first we need to convert 0.5t and 0.5hg to kg as shown;

1t = 1000kg

0.5t = 0.5 *1000

0.5t = 500kg

Similarly

1hg = 0.1kg

5hg = 5 * 0.1

5hg = 0.5kg

Adding up;

0.5t5kg5hg = 500kg+5kg+0.5kg

0.5t5kg5hg = 505.5kg

Hence the conversion to kg is 505.5kg

URGENT (WILL GIVE BRANLIEST) whats 1 + 1?

Answers

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Have a nice day!

and can I maybe have brainliest?

Answer:

1+1=2

Step-by-step explanation:

hold up one finger then add another and it equals two: )

Hope this helps!

Have a great day!

- Hailey

I will give extra points please help

Answers

Answer:

z is less than 3/4

Step-by-step explanation:


Find lateral surface
area of the play tent.
h = 4 in
14 in
5 in
5 in
W
6 in

Answers

Answer:

224 in.²

Step-by-step explanation:

The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.

Lateral surface area of a triangular prism = Perimeter of base × height of prism

Perimeter of base = 5 + 6 + 5 = 16 in.

Height of prism = 14 in.

Plug in the values

Lateral Surface Area = 16 × 14 = 224 in.²

Let X and Y be independent Bernoulli random variables with parameters 0.2 and 0.3, respectively. Find the distribution of X Y. List all possible values that X Y can take. Write your answer as a comma-separated list ordered from smallest to largest value. possible values: List the probabilities that X Y takes each of the values. Write your answer as a comma-separated list giving the probabilities in the same order as in (a)

Answers

Answer:

a)  0 , 1

b) 0.56 , 0.06

Step-by-step explanation:

X = 0.2

Y = 0.3

Find the distribution of X + Y

a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56

P( X +Y = 1) = 0.2*0.3 = 0.06

4000 adults in a random sample

Answers

Answer:

huh? what does that mean k

10 % of 4,000 is 400

Given the figure below, find EF if CA = (6n) and EF = (n + 8)

Answers

Answer:

[tex]EF = 12[/tex]

Step-by-step explanation:

Given

[tex]CA =6n[/tex]

[tex]EF= n + 8[/tex]

Required

Find CN

From the attachment:

[tex]EF = CD\ and\ CD = DA[/tex]

Where

[tex]CA = CD + DA[/tex]

This means that:

[tex]CA = CD + CD[/tex]

[tex]CA = 2CD[/tex]

or

[tex]CA = 2*EF[/tex]

This gives:

[tex]6n = 2*(n+8)[/tex]

Open bracket

[tex]6n = 2n+16[/tex]

Collect anf simplify like terms

[tex]4n = 16[/tex]

[tex]n= 4[/tex]

So:

[tex]EF= n + 8[/tex]

[tex]EF = 4 + 8[/tex]

[tex]EF = 12[/tex]

Find the gcd of 30,45,75

Answers

Answer:

gcd is 15

have a good day ahead

Answer:

15

Step-by-step explanation:

each number is divisible by 15

Solve 3≥y−2. Graph the solution. The solution is

Answers

Answer:

y  ≤  5

Step-by-step explanation:

too lazy to explain :/

7m+3 what is the constants of 7m+3​

Answers

Answer:

3

Step-by-step explanation:

in the triangle shown determine j to the nearest degree

Answers

Answer:

63

Step-by-step explanation:

Tan x = 3.5/1.8

Tan X=1.94444

x=62.78

If I set aside $5,000 in the bank to earn 6% annually, how much would I have after 5 years?

Answers

Answer:

$1,500

Step-by-step explanation:

How many sides does a polygon have if the sum of the interior angles is 3420

Answers

Answer: 21 sides

Step-by-step explanation: (n-2)=3420  you should divide each side by 180

The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rater.
P = $9000.00, A = $12150.00, t = 5 years
% (Round to the nearest tenth of a percent as needed.)

Answers

Interest rate = 7%

I= PRT where I is the interest earned, p is the principal, r is rate as a decimal, and t is time in years.


A - P will give us the interest earned.

12,150 - 9,000 = 3,150

3150 = (9000)(r)(5)
3150 = 45,000r
r = 0.07
r = 7%

I WILL GIVE YOU BRAINERLEST AND A LIKE

The area of a triangle is 20 square feet.
What are the height and base of the
triangle?

Answers

The height is 5 and the base is 8

I need help if you are correct I will mark you as brainlest

Answers

i believe it’s A but if i’m wrong i’m sorry
Its A. Pls mark me brainliest

For what values of x and y. Thank you

Answers

Answer:

x = 4 y = 9

Step-by-step explanation:

3x-1 = 2x+3

x = 4

2(4)+1 = 9

11-2 = 9

Evaluate 2.5(8.6/2)-1.8

Answers

Step-by-step explanation:

Given the expression:

[tex]2.5( \frac{8.6}{2} ) - 1.8[/tex]

Follow BODMAS rule.

always evaluate brackets first, followed by multiply or division then addition or subtraction from LEFT to RIGHT.

[tex]2.5( \frac{8.6}{2} ) - 1.8 \\ = 2.5(4.3) - 1.8 \\ = 10.75 - 1.8 \\ = 8.95[/tex]

round off 421 562 to the nearest 5​

Answers

Answer:

422,000

Step-by-step explanation:

Hope this helps!

:)

422,000 I took. A question
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