The table below represents a linear function. Find the
value of y when x = 2.
- 2
0
4
6
y
4
8
16
20

[tex]\\ \sf\longmapsto \sqrt{(x^2-2x-2)}+\sqrt{2x-3}=5[/tex]

We know

if x=√a+√b then

[tex]\\ \sf\longmapsto x^2-2x-2+2x-3+2\sqrt{(x^2-2x-2)(2x-3)}=5^2[/tex]

[tex]\\ \sf\longmapsto x^2-3+2\sqrt{2x^3-4x^2-4x-3x^2+6x+6}=25[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{2x^3-7x^2+2x+6}=25-x^2+3=28-x^2[/tex]

[tex]\\ \sf\longmapsto \sqrt{2x^3-7x^2+2x+6}=\dfrac{28-x^2}{2}[/tex]

[tex]\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{(28-x^2)^2}{4}[/tex]

[tex]\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{784-56x^2+x^4}{4}[/tex]

[tex]\\ \sf\longmapsto 8x^3-28x^2+8x+24=784-56x^2+x^4[/tex]

[tex]\\ \sf\longmapsto x^4-8x^3-28x^2-8x+760=0[/tex]

The equation has no real solutions .(attached a pic of calculator )

Answer:

[tex]{ \rm{ \sqrt{( {x}^{2} - 2x - 2) } + \sqrt{(2x - 3)} = 5 }}[/tex]

• let's first collect like terms

[tex]{ \rm{ \sqrt{( {x}^{2} - 2x - 2)} = 5 - \sqrt{(2x - 3)} }}[/tex]

• Then, let's take a square:

[tex]{ \rm{ {( \sqrt{( {x}^{2} - 2x - 2)}) }^{2} = {(5 - \sqrt{(2x - 3)} )}^{2} }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = (5 - {(2x - 3)}^{ \frac{1}{2} } )(5 - {(2x - 3)}^{ \frac{1}{2} }) }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = 25 - 10 \sqrt{2x - 3} - 2x - 3 }} \\ \\ { \rm{ {x}^{2} - 2x + 2x - 2 - 22 + 10 \sqrt{2x - 3} = 0}} \\ \\ { \rm{ {x}^{2} + 10 \sqrt{2x - 3} - 22 = 0}} \\ \\ { \rm{the \: roots \: of \: the \: equation \: are \: not \: real}}[/tex]

Answer: x = 3(-1 + i) or 3(-1 - i)

Using a system of equation, the Number of tickets sold at $27 is - 380615

Let :

a + b = 6000 - - - - (1)

27a + 40b = 5188000 - - - - - (2)

From (1) :

Put (3) in (2)

27a + 40(6000 - a) = 5188000

27a + 240000 - 40a = 5188000

-13a = 5188000 - 240000

-13a = 4948000

a = -380615

Kindly check the question as it might contain an error.

Learn more :https://brainly.com/question/15165519

Answer:

the statements are not equivalent

Answer:

sorry I don't no the answer

Answer:

109

Step-by-step explanation:

let the greatest number=x

therefore, the other number=x-11

Since, x+x-11=207

         ==> 2x-11=207

         ==> 2x=218

         ==> x=109

Step-by-step explanation:

sum of all angles of triangle are 180°

therefore,

angle,

P + T + S = 180°

P = 90° , T = 36° ( given )

so,

→ 90 + 36 + S = 180

→ 126 + S = 180

→ S = 180 - 126 = 54°

→ S = 54°

therefore, S is 54° so, option D is correct.

hope this answer helps you dear...take care and may u have a great day ahead and! also ur exam/test goes well!

Answer:  

amplitude=2

Step-by-step explanation:

The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x).  The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.

Answer:

27%

Step-by-step explanation:

75-55=20

75 - 100%

20 - x%

x=20*100:75=26.(6)7~27%

Answer:

They lost 29.3% of the softball games.

Step-by-step explanation:

Total number of games = 75

Number of games won = 55

Number of games lost = 75 − 55 = 22

Percentage of games lost: Number of games lost/ total games x 100%

Which means: 22/75 x 100% = 29.3%

Hope this helped you!

Have a nice day/night <3

Answer:

Step-by-step explanation:

Given,

Perimeter of fencing bought by Claire for rectangular garden

= 2(4x - 4 + x - 4)

= 2 ( 5x - 8 )

= 10x - 16

Perimeter of fencing bought by Claire for triangular garden

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

= 3x + 3x + 3x - 1 - 1

= 9x - 2

Since,

The two gardens have same perimeter,

By the problem,

10x - 16 = 9x - 2

=> 10x - 9x = 16 - 2

=> x = 14

Hence,

Feet of fencing bought by her,

Putting value in any of the perimeters of the gardens,

10x - 16

= 10(14) - 16

= 140 - 16

= 124 feet (Ans)

9514 1404 393

Answer:

  3.24

Step-by-step explanation:

The weighted average GPA is ...

  (9(2.40) +18g)/(9+18) = 2.96

Then the girls' GPA (g) is ...

  ((27)(2.96)-9(2.40))/18 = g = 58.32/18 = 3.24

The GPA of the girls in the class is 3.24.

_____

Additional comment

The solution expression can be rearranged to ...

  ((9+18)(2.96) -(9)(2.40))/18 = g

  2.96 +(9/18)(2.96 -2.40) = g

  2.96 +(1/2)(0.56) = g

That is, the difference of the boys' GPA from the overall average, multiplied by the ratio of boys to girls, is the amount that must be added to the overall average to get the girls' GPA. This is arithmetic you can do in your head.

The key idea with the average is that the sum of differences from the average is zero. If 9 boys each have a GPA 0.56 units below the average, then twice as many girls will each have a GPA that is half as much above the average.

Answer:

Lol why are you right about this?

Step-by-step explanation:

Answer:

Agreed.

Step-by-step explanation:

I agree with you bro. Spend hours answering and researching a question, and all I get is a measly 5 points. COME ONE Y'ALL!!

Also, there are a few grammatical errors in your letter. I'm not sure if I should point that out or not, because I thought that part was in the question, so...

Also, are we even supposed to answer this question?????

(PLEASE MARK ME AS BRAINLIEST)

Using the principle of proportional relationship, the number of milk cups required per cup of oat is 0.75 cups

Setting up a proportional relationship between milk and oat :

1/2 cups = 2/3 cups

x cups = 1 cup

Cross multiply :

(2/3)x = 1/2

0.666666x = 0.5

Divide both sides by 0.66666 to isolate x

x = 0.5 / 0.666666

x = 0.75

Therefore, 0.75 cups of milk is required per cup of oat.

Learn more : https://brainly.com/question/18112348

Answer:

-2.25 + 1 1/10 = -1.15

-2.25 + 1 2/10 = -1.05

-2.25 + 1 3/10 = -0.95

-2.25 + 1 4/10 = -0.85

-2.25 + 1 5/10  = -0.75

-2.25 + 1 6/10  = -0.65

-2.25 + 1 7/10  = -0.55

-2.25 + 1 8/10 = -0.45

-2.25 + 1 9/10 = -0.35

-2.25 + 1 8/9   = -0.361111111

-2.25 + 1 7/8   = -0.375

(-2.25) + 1 6/7 = -0.392857143

(-2.25) + 1 5/6 = -0.416666667

(-2.25) + 1 4/5 = -0.45

(-2.25) + 1 3/4 = -0.5

(-2.25) + 1 2/4 = -0.75   is the same as 1 5/10 = -2.25 + 1/2 = -0.75

(-2.25) + 1 2/3 = -0.583333333 - 0.47222222

(-2.25) + 1 7/9 =-0.472222222   1 7/9 is smaller number than 1 2/3 by 0.10555555

We know 1  7/9 it is smaller than 1 8/9 as  -2.25 + 1 8/9   = -0.361111111 but only by -0.111111112

as the difference of 1/9 = -0.111111112

etc etc.

Summary when adding additional 1/10 it adds 0.1

when adding additional 1/9 it adds 0.111111112

when adding additional 1/8 it adds 0.125

when adding additional 1/7 it adds 0.142857143

when adding additional 1/6 it adds 0.166666667

when adding additional 1/5 it adds 0.2

when adding additional 1/4 it adds 0.25

when adding additional 1/3 it adds 0.333332224

when adding additional 1/2 it adds 0.5

when adding additional 10/2 it adds 5 etc etc.

-

Answer:

ok

Step-by-step explanation:

you do  a little bit of this a little bit of that and get ok

Answer:

Simplify the matrix.

2√5=3=3,31,1,−3.5

Step-by-step explanation:

Answer:

13.5 + 16 + 12.6 + 15.2 +12.8 + 11.8 + 17.2 + 12.1

                                  8

= 94.2/8

= 11.76

Answer:

I might be able to help what do you need to know

Answer:

[tex]\frac{1}{11^{4} }[/tex]

Step-by-step explanation:

To solve this, simply change the negative sign to a positive and place this in the denominator, so it is [tex]\frac{1}{11^{4} }[/tex]

Answer:

Step-by-step explanation:

Length, L = 2x + 2

Width, W = 3x

Height, H = 4x - 2

[tex]Surface\ Area = 2 (LW + WH + HL)\\\\[/tex]

                     [tex]= 2 ( (2x +2)(3x) + (3x)(4x -2) + (4x - 2)(2x + 2))\\\\=2(6x ^2 + 6x + 12x^2 - 6x + 8x^2 + 8x - 4x - 4)\\\\=2(26x^2 +4x -4) \ square \ units[/tex]

[tex]Volume = L \times W \times H[/tex]

           [tex]= (2x+2)(3x)(4x-2)\\\\=(6x^2 + 6x)(4x-2)\\\\=24x^3 -12x^2 + 24x^2 - 12x\\\\=24x^3 +12x^2 -12x \ cubic \ units[/tex]

Answer:x= 3

Step-by-step explanation:

bc ik it does not really sure

Answer: -x = 2.12 (approx.)

Step-by-step explanation:

x = -70/33 -- divide -70 by 33

x = -2.12

x/-1 = -2.12/-1 -- divide each side by -1

-x = 2.12

Answer:

162

Step-by-step explanation:

Answer: 162

Step-by-step explanation:

The formula for this is lxw (length x width) so just multiply 6 by 27 which gives you 162.

Answer:

The answer would be 6^2 = 36 , 8^2 = 64, 15^2 = 225

Step-by-step explanation:

Answer on Edmentum!

Answer:

20

Step-by-step explanation:

In class 1, they used 10 sweet potatoes.

If they need 30, in class 2, they used 20.

The second class needs 0.4 sweet potatoes to make the remaining pies.

The percentage is defined as a ratio expressed as a fraction of 100.

If Ms. Knight's two cooking classes are making a total of 30 sweet potato pies and each pie requires 2% sweet potatoes, then the total amount of sweet potatoes needed is:

30 pies x 2% sweet potatoes per pie = 0.6 sweet potatoes

Her first class makes 1/3 of the total number of pies needed, which is:

1/3 x 30 pies = 10 pies

This means that the first class used:

10 pies x 2% sweet potatoes per pie = 0.2 sweet potatoes

So, the second class needs to make the remaining pies, which is:

30 pies - 10 pies = 20 pies

The second class needs to use:

20 pies x 2% sweet potatoes per pie = 0.4 sweet potatoes.

Therefore, the second class needs 0.4 sweet potatoes to make the remaining pies.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

-13, 8

Step-by-step explanation:

(x-3)(x+8) = 80

use FOIL to eliminate parenthesis

x² +8x - 3x - 24 = 80

combine like terms

x² + 5x - 24 = 80

move the constant to the left

x² + 5x - 104 = 0

factor x and then factor -8

x(x+13) - 8(x+13) = 0    factor (x+13)

(x+13)(x-8) = 0

separate into possible cases

x + 13 = 0

x - 8 = 0

solve

x = -13

x = 8

have a lovely day <3

Answer:

Answer is 6^9 ÷ 6^-2

Step-by-step explanation:

6^14 ÷ 6^2 = 6^14-2

= 6^12

And

6^9 ÷ 6^-2 = 6^9-(-2)

= 6^11

Which is less than 6^12

Hope that my answer is helpful to you

Step-by-step explanation:

3y+8y=11y and -ax+4x=4ax

Answer:

a = 6

Step-by-step explanation:

Perpendicular lines have slope that are negative reciprocal of each other. There product = -1

Solve both equations for y.

3y - ax = 8                                 4x + 8y = 2

3y = ax + 8                                  8y = -4x + 2

y = ax/3 + 8/3                               y = -4x/8 + 2/8

 y = a/3(x) + 8/3                              y = -1/2(x) + 1/4

Now you know that the slope of  y = -1/2(x)+ 1/4  is -1/2

and the slope of y = a/3(x) + 8/3 is a/3.  

Looking for the value of "a" that will make the lines perpendicular.

You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.   Also remember that the slope is the coefficient of the x term.

Now   a/3 = 2 ; a = 6  

Answer:

see it it is right

Answer:

-2/9

Step-by-step explanation:

Answer:

The answer for this question is11÷2&5÷2