12 - x

If x = 7, what is the value of the expression above?

Answer:

option B

Step-by-step explanation:

[tex](a+b)^4\\\\=(a+b)^2(a+b)^2\\\\=(a^2+2ab+b^2)(a^2+2ab+b^2)\\\\=a^2(a^2+2ab+b^2)\\\\+2ab(a^2+2ab+b^2)\\\\+b^2(a^2+2ab+b^2)\\\\=a^4+2a^3b+a^2b^2\\\\+2a^3b+4a^2b^2+2ab^3\\\\+a^2b^2+2ab^3+b^4\\\\=a^4+4a^3b+6a^2b^2+4ab^3+b^4[/tex]

Answer:

bus = 50mph and train = 70mph

Step-by-step explanation:

4b + 4t = 480

t = b + 20 [replace the "t" in the next step to solve]

4b + 4(b + 20) = 480

4b + 4b + 80 = 480

8b + 80 = 480 [subtract 80 from both sides of the equation]

8b = 400 [divide by 8 on both sides of the equation]

b = 50 and if the train is 20mph faster, t = 70

4(50) + 4(70) = 480

Answer:

480

Step-by-step explanation:

Answer:

[tex]301.29\ \text{mph}[/tex]

[tex]119.5^{\circ}[/tex]

Step-by-step explanation:

[tex]v_p[/tex] = Velocity of plane = 320 mph

[tex]v_w[/tex] = Velocity of wind = 35 mph

[tex]\theta[/tex] = Angle between wind and plane directions = [tex]125^{\circ}[/tex]

From triangle law we have resultant

[tex]v_r=\sqrt{v_p^2+v_w^2+2v_pv_w\cos\theta}\\\Rightarrow v_r=\sqrt{320^2+35^2+2\times 320\times 35\cos125^{\circ}}\\\Rightarrow v_r=301.29\ \text{mph}[/tex]

Direction is given by

[tex]\phi=\tan^{-1}\dfrac{v_p\sin\theta}{v_w+v_p\cos\theta}\\\Rightarrow \phi=\tan^{-1}\dfrac{320\sin125^{\circ}}{35+320\cos125^{\circ}}\\\Rightarrow \phi=-60.46^{\circ}=180-60.46=119.5^{\circ}[/tex]

The magnitude of the plane is [tex]301.29\ \text{mph}[/tex] moving at an angle of [tex]119.5^{\circ}[/tex].

Answer:

is it 3.00

Step-by-step explanation:

Answer:

0.625.

Step-by-step explanation:

To find the decimal of what Margo spent we have to divide the part ($5.00) by the whole ($8.00). Like this:

(5)/(8) = 0.625

Therefore, the decimal that represents the fraction is 0.625.

I hope this helps!!

- Kay :)

Answer:

6x+2 is the answer

Step-by-step explanation:

.......

Answer:

nobody can work 830 in one week; there are only 168 hours in a week

Step-by-step explanation:

Answer:

-5, -2, 1, 3.

Step-by-step explanation:

This is how you would put them in order from least to greatest.

Answer:

-5,-2,1,3

Step-by-step explanation:

Hope it helps

Answer:

[-9,-4]

Step-by-step explanation:

The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.

This means the range is [-9,-4].

Brackets are used since -9 and -4 are seemingly included.

Answer:

Step-by-step explanation:

2x + 5y = 1     ⇒    2x = 1 - 5y

y = 2xy + 5

y = (1 - 5y)y + 5

y = y - 5y² + 5

5y² = 5

y² = 1

 y₁ = 1               ∨           y₂ = -1

2x₁ = 1 -5(1)                   2x₂ = 1 - 5(-1)

2x₁ = 1 - 5                      2x₂ = 1 + 5

2x₁ = -4                         2x₂ = 6

 x₁ = -2                           x₂ = 3

Midpoint:

[tex]M=\left(\frac{x_1+x_2}2\ ,\ \frac{y_1+y_2}2\right)=\left(\frac{-2+3}2\ ,\ \frac{1+(-1)}2\right)=\left(\frac12\ ,\ 0\right)[/tex]

The coordinates of the midpoint of the line AB is (0, 1/2).

The equation of the curve is given by y = 2xy + 5.

The equation of the line is given by 2x + 5y = 1.

We have to first find the point of intersection between the curve and the line and then find the coordinates of the midpoint of line AB where A and B is the point of intersection between the curve and the line.

If C(x, y) divides a line AB in m:n then we have,

[tex]x = \frac{mx_2 +nx_1}{m+n},~~~y =\frac{my_2+ny_1}{m+n}[/tex]

And if C(x,y) is the midpoint then m = n.

we have,

[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}[/tex]

Where x and y are the coordinates of the midpoint o the line AB.

Find the point of intersection between the line and the curve.

y = 2xy + 5............(1)

2x + 5y = 1..............(2)

From (2) we have,

2x = 1 - 5yx = (1-5y) / 2..........(3)

Substituting (3) in (1).

[tex]y =2\frac{(1-5y)}{2}y + 5\\\\y =\frac{2y-10y^2}{2} + 5\\\\2y = 2y - 10y^2 + 10\\\\10y^2 = 10\\\\y^2 = 1[/tex]

So we have,

y = 1 and y = -1

Puttin y = 1 in (3) we get,

x = (1 - 5) / 2 = - 4 / 2 = -2

Puttin y = -1 in (3) we get,

x = {1-5(-1)} / 2 = (1+5) / 2 = 6 / 2 = 3

Now we have two points of intersection A( 1, -2 ) and B( -1, 3 ).

Finding the coordinates of the midpoint of the line AB.

we have,

[tex]A(1, -2) = A (x_1, y_1)~~and~~B(-1, 3) = B(x_2, y_2)[/tex]

Substituting in the given equation.

[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}\\\\x = \frac{-1 +1}{2},~~~y =\frac{3+(-2)}{2}\\\\x = 0,~~~y=\frac{1}{2}[/tex]

So the coordinates of the midpoint is (x,y) = ( 0, 1/2 ).

Learn more about the midpoint of a given line here:

https://brainly.com/question/24493570

#SPJ2

Answer:

0.96% or 1% to the nearest whole ( use the whole as for your answer )

Step-by-step explanation:

825-817 = 8

8 / 825 = 0.00969696....

x 100 = 0.96%

Answer:

y=x+2

Step-by-step explanation:

the standard form is y=mx+b where m is the slope and b is the y intercept

TO FIND THE SLOPE: we take the x and y intercepts as a fraction. in this case the line touches the y axis (vertical) at point/value 2 and the x axis at point 2 as well. This means the slope is 2/2x which can be simplified to 1x or just x.

TO FIND THE Y INTERCEPT: we find where the line touches the y axis at point 2.

the slope is plugged into the m of the equation and the y intercept is plugged into the b of the equation.

Answer: 3√2

√3 . √6 = √(3.6) = √(9.2) = √(3².2) = 3√2

Step-by-step explanation:

Answer:

b = 3

Step-by-step explanation:

[tex] \sqrt{6} [/tex]can be written as [tex] \sqrt{3} \times \sqrt{2} [/tex]

So, lets arrange it.

[tex] \sqrt{3} \times \sqrt{6} = \sqrt{3} \times \sqrt{3} \times \sqrt{2} = 3 \sqrt{2} [/tex]

Hence b = 3.

Answer:

naygas

Step-by-step explanation:

awdwadjhwyajsdudjHASGVJX wvjbhdaes,cvmdjh,bkn,cdblajnkcdbvhjksnam ,bchbdjkns.a d,cbjhkna.djbc

answer: B

Answer:

[tex]\large\boxed{\pink{ \leadsto The \ given \ equation \ is \ not \ a \ Quadratic \ equation . }}[/tex]

Step-by-step explanation:

Given equation to us is ,

[tex]\green{\implies x^2+\dfrac{1}{x}=4 }[/tex]

So , a equation is said to be a quadratic equation if the highest degree of the variable is 2 . On simplifying the Equation ,

[tex]\implies x^2 +\dfrac{1}{x}=4 [/tex]

Taking x as LCM ,

[tex]\implies \dfrac{x^2.x + 1 }{x}= 4 [/tex]

Transposing x to RHS .

[tex]\implies x^3 + 1 = 4x [/tex]

Putting all terms in LHS

[tex]\boxed{\bf \implies x^3 - 4x - 1 = 0 }[/tex]

Since here the highest degree of the variable is 3 not 2 . So its a cubic equation and not a quadratic equation .

Answer:

D. (-3;-3)

Step-by-step explanation:

2x-3y<9

A. 2×6-3×(-4)=24 FALSE, because 24>9

B. 2×(-1)-3×(-9)=25 FALSE, because 25>9

C. 2×2-3×(-5)=11 FALSE, because 11>9

D. 2×(-3)-3×(-3)=9 TRUE, because 3<9

Answer:

128 and can I get brainliest

Step-by-step explanation:

180-95 = 85

85 plus 43 = 128

180 - 128 = 52

180-52 = 128

Answer:

y=128

Step-by-step explanation:

The exterior pleus interior angle makes a 180 degree

so 180-95=85

now the interior angles of a triangle add up to 180

so the in triangle

get 43+85+?=180

180-85-43=52

nowing this we need to find the exterior angle unlike the first we are given the interior not the exterior but same process goes

180-52=128

y=128

Answer:

[tex]32 {x}^{5} + 240 {x}^{4} + 720 {x}^{3} + 1080 {x}^{2} + 810x + 243[/tex]

Answer:

One-fourth times 32

Step-by-step explanation:

Yes, I know...31.3 rounded is 31, not 32. But it's closer than any other number.

Step-by-step explanation:

x² + 9x < -20

x² + 9x + 20 < 0

(x + 4)(x + 5) < 0

Therefore -5 < x < -4 / (-5,-4)

Answer:

1/4 population

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: 200/800=0.25

                                             Move the decimal places of 0.25 two spaces to the right so is 25.

Answer:

0.16 tons

Step-by-step explanation:

Answer:

The equation becomes

[tex]1\frac{7}{19}=a\frac{b}{c}[/tex]

Therefore,

Hence, option (C) is true.

Step-by-step explanation:

Given the expression

[tex]3\frac{1}{4}\div 2\frac{3}{8}\:=a\frac{b}{c}[/tex]

Solving the L.H.S of the equation

[tex]3\frac{1}{4}\div \:2\frac{3}{8}=\frac{13}{4}\div \:2\frac{3}{8}[/tex]

               [tex]=\frac{13}{4}\times \frac{8}{19}[/tex]

               [tex]=\frac{13\times \:2}{1\times \:19}[/tex]

                [tex]=\frac{26}{1\times \:19}[/tex]

                 [tex]=\frac{26}{19}[/tex]

Converting improper fraction to a fixed number: [tex]\frac{26}{19}=1\frac{7}{19}[/tex]

                 [tex]=1\frac{7}{19}[/tex]

Thus, the equation becomes

[tex]1\frac{7}{19}=a\frac{b}{c}[/tex]

Therefore,

Hence, option (C) is true.