5x + 2y, when x = 5 and y = -2

[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)

Answer:

opposite

Step-by-step explanation:

it's negative

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:

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

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:

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:

205°

Step-by-step explanation:

The total circle is 360°. The right angle is 90°, and you know the other angle is 64°. 90° + 64° is 154°. 360° -154° is 205°.

Answer:

We know that the angle around any given point is 360°

Therefore, according to the given problem,

[tex]x° + 64° + 90° = 360° \\ x° + 154° = 360° \\ x° = 360° - 154° \\ \boxed{x° = 206°}[/tex]

Hence, the value of x° is 206°

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)

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 for this question is11÷2&5÷2

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:

the answer is of mid piont (4&6)

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:

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:

the statements are not equivalent

Answer:

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

Step-by-step explanation:

Answer on Edmentum!

Answer:

10

Step-by-step explanation:

Since we are dealing with area, we need to multiply 16 1/4 by 11 3/4.

If we do that, we get 190 15/16

So, if we divide 190 15/16 by 20:

[tex]190 \frac{15}{16} / 20 = 9.5[/tex]

You cannot have half a bag however. You will need to round the number to 10.

Answer:

[tex]f(7 {x}^{2} - 2x + 9) \\ = - 5(7 {x}^{2} - 2x + 9) - 7 \\ = - 35 {x}^{2} + 10x - 45 - 7 \\ = - 35 {x}^{2} + 10x - 38 \\ f.g( - 3) = - 35 {( - 3)}^{2} + 10( - 3) - 38 \\ f.g( - 3) = -383[/tex]

Answer:

Approx 41.7%

Step-by-step explanation:

150/360=0.41.666666667

0.417*100=41.7%

9514 1404 393

Answer:

  (C)  Mr. Dixon saved about $500

Step-by-step explanation:

The prices can be rounded to hundreds to give ...

The sale price is about 20/25 = 4/5 of the regular price. It is about 2500-2000 = 500 dollars lower.

The true description is ...

  Mr. Dixon saved about $500

Answer:

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

                                  8

= 94.2/8

= 11.76

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:

A. -2.5

hope that helped <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

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.

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