ANSWER THE FOLLOWING:​

Answer:

Logical first step: divide everything by

3

Explanation:

→

x

2

−

8

x

+

8

=

0

Completing the square would mean: taking half of the

x

-coefficient and squaring that:

x

2

−

8

x

+

(

−

4

)

2

=

x

2

−

8

x

+

16

=

(

x

−

4

)

2

But we still have to balance the

16

with the

8

we had:

→

x

2

−

8

x

+

16

→(x−4)2−8=0→(x−4)2=8

So

x-4=√8=2√2→x=4+2√2

Or

x−4=−√8=−2√2→x=4−2√2

Often written as x1,2=4±2√2

The solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].

Completing the square method is factorizing a quadratic equation, and henceforth finding the roots or zeros of a quadratic polynomial or a quadratic equation.

According to the given question.

We have a quadratic equation

[tex]3x^{2} + 24x - 24 = 0[/tex]

The above quadratic equation can be written as

[tex]3(x^{2} + 8x - 8) = 0[/tex]

[tex]\implies x^{2} + 8x -8= 0[/tex]

Now, we will solve the above equation by completing the square method.

[tex]x^{2} +8x - 8= 0[/tex]

[tex]\implies x^{2} + 2(4x) +(4)^{2} -(4)^{2} -8 = 0[/tex]

[tex]\implies x^{2} + 2(4x) + 16 - 16 -8 = 0[/tex]

[tex]\implies (x+4)^{2} - 24=0[/tex]

[tex]\implies (x+4)^{2} = 24[/tex]

[tex]\implies (x+4)^{2} = 24[/tex]

[tex]\implies (x+4) = \sqrt{24}[/tex]

[tex]\implies x+ 4 = \pm 2\sqrt{6}[/tex]

[tex]\implies x = 2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex]

Hence, the solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].

Find out more information about completing the square method here:

https://brainly.com/question/26107616

#SPJ2

Answer:

Y =4x^4 + 4x^3 − 37x^2 + 41x −12

Step-by-step explanation:

Y = (2x - 1 ) (x + 4) (2x - 3) (x - 1)

Using commutative property we can re-arrange RHS,

Y= (2x - 1) (2x - 3) (x + 4) (x - 1)

Using the property

[(x+a) (x+b) = x^2 + (a+b)*x +ab],

Y =

[(2x)^2 + (-1 - 3)*2x + (-1 )*(-3)] [x^2 + (4 - 1)*x + 4*(-1)]

From here onwards I would recommend u to do the calculation by your own bc I might have made mistakes

in the steps but I got right but still just check yourself if u copy all the steps as it is

Y = (4x^2 -8x + 3) (x^2 + 3x -4)

Y = 4x^4 + 12x^3 - 16x^2 -8x^3 -24x^2 + 32x + 3x^2 + 9x - 12

Y = 4x^4 + 4x^3 -37x^2 + 41x - 12

Here I got the answer right so my calculations will also might be right

I checked my answer if it's right using an app called "MathPapa" and it's a great app to solve algebra questions like urs. The screenshot of the answer using this app is here on the top. This is the longest question I have solved for anyone, bye and have a nice day ahead!

Answer:

can you send a better picture of the question so it can be clearer

Step-by-step explanation:

Answer:

Step-by-step explanation:Given

-3+(-5)

-3+(-5)=-3-5=-8

Observing option A.) -3+-(-5)=-3+5=2

Observing option B.)-3+5=2

Observing option C.)-5-(-3)=-5+3-2

Observing option D.)-5-(-3)=-5+3=-2

It doesn’t seem that any option is correct maybe ask your teacher show them this or something

Answer:

-18 is the ans you can calculate it

Answer:

Step-by-step explanation:

Medical treatments that involve laser beams.

We can measure how far we put perpendicular the laser beam to a patient skin and we can calculate using right triangles how wide the beams go to only target certain cells (like cancer cells.)

Answer:

Yes it does.

Step-by-step explanation:

I gives an estimate of what the weather is.

Step-by-step explanation:

Answer is option A

f(1)=3

f(2)=f(2-1)+4=f(1)+4=3+4=7

... So on

Hence the series would be 3,7,11,15,..

The required first four terms are 3,7,11,15

I hope it helped you

Answer: the answer is a

3,7,11,15 (+4 each time )

Step-by-step explanation: we are adding 4 each time .Hope it helps .

Answer:

false true false false

Answer:

34 28 37 56 34 37 28 20 43 15

Answer:

C 28

Step-by-step explanation:

16 tiles is enough for 28  i think cuz i can't use links

Answer:

it is C 28

Step-by-step explanation:

Answer: T-R

Step-by-step explanation:

Answer:

B. 967 units is the answer

Answer:

C

Step-by-step explanation:

Answer:

2(11x+6)

Simplify to 22x + 12

Greatest common factor is 2

2x11x = 22

2x6 = 12

Answer:

Purple to 1/4

red to 13/10

blue to 2/5

green to 1/5

Step-by-step explanation:

I think that is correct, butttt I am not postive

Step-by-step explanation:

h=b-4

A=30ft^2

A=1/2bh

30=1/2b(b-h)

Cross Multiply

60=b(b-4)

60=b^2-4b

b^2-4b-60=0

Factorise the equation

(b^2+6) (-10b-60)

b(b+6)-10(b+6)

(b-10) (b+6)

b-10=0 or b+6=0

b=10 or b=-6

base =10 (since measurement can not be negative)

h=b-4

Sub the value of b

h = 10-4

h=6

So the height is 6ft and base is 10ft

Answer:

5

Step-by-step explanation:

|x+3| =

|2+3| =

|5| =

5 =

Answer: 5

Step-by-step explanation:

If x = 2, the numbers in the brackets should now be 2 and 3.
2+3 = 5.
Because having numbers in brackets like these | | means absolute value, the number you get is always a positive number.

Answer:

If you mean 6 / 7215 it is 0.00083

but if you meant 7215 / 6 it is 1202.5

Step-by-step explanation:

Answer:

  256

Step-by-step explanation:

The revenue from the sale of n tickets at $38 each is given as ...

  38n = 9728 . . . . total sales from special event tickets

Dividing by the coefficient of n gives the number of tickets:

  n = 9728/38 = 256

256 tickets were sold for the special event.

No. A function maps one input to exactly one output. The given relation maps 1 to both 1 and -1, as indicated by the pairs (1, 1) and (1, -1).

Using the Central Limit Theorem, it is found that the standard error for this sample is of 1.67.

It states that for a population of standard deviation [tex]\sigma[/tex], the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, we have that [tex]\sigma = 10, n = 36[/tex], hence the standard error is given by:

[tex]s = \frac{10}{\sqrt{36}} = 1.67[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

16 times

Step-by-step explanation:

This problem is solved by ratio. Since the ratio of 28 out of 25 times is 4:5, he has to catch the ball 4:5 or 4 of 5 times. You multiply both 5 and 4 by 4, because that's how many times he's gonna catch it. 4 x 4 = 16, so the answer is 16 times.

Answer:

(4/5)^20

Step-by-step explanation:

1) First, write the numbers of times Raymond caught the football out of 35 attempts. This is a necessary step in order to obtain an appropriate operand.

28

35

2) Reduce the fraction to lowest terms. This is an optional step but it simplifies the problem.

28   /  4

35      4

= 4

  5

3) Raise the fraction to the 20th power. If the ball is thrown at him 20 times, the probability of him successfully catching the ball must be (4/5)^20.

= (4)^2

  (5)

Answer:

A, B,C, and E. I hope this helps.

Step-by-step explanation:

Answer:

The answer is 486,732

Answer:

hotdog is $1.25

hamburger is 1.75

Step-by-step explanation:

INn FOUR hours Jennifer will travel 12 m/h x4 = 48 miles

it will take Thomas 48 miles / 4 m/hr = 12 hours to reach the bike in the meantime Jennifer has EIGHT hours of walking 3 m/hr x 8 = 24 miles form the bike Thomas now sets out at 10 m/h this is 10 - 3 = 7 m/h faster than Jennifer is walking he will close the 24 miles and catch Jennifer in 7 m/hr *x = 24 m

24/7hours

So Thomas walks for 12 hours then bikes for 24/7 hr = 15 3/7 hrs = ~ 15 hr 26 min

Answer:

The mean is 33 and the MAD is 6.

Step-by-step explanation:

I took it on edge and got it right. Sorry I don't have a better explanation.

The person above me is correct.

Step-by-step explanation: