The graphs below have the same shape. What is the equation of the blue graph? G(x) =

A. G(x)= (x+4)^2
B.G(x)=x^2+4
C.G(x)= (x-4)^2
D.G(x)= x^2-4

Answer:

1/5 = 20% not occupied.

Step-by-step explanation:

There are 72 occupied seats out of 90 total seats. We can say that there are 18 empty seats (90 - 72 = 18).

So there are 18 out of 90 seats occupied. We can rewrite that as 18/90. 18/90 simplifies to 9/45 = 3/15 = 1/5 = 20%.

As such, 20% of the seats are not occupied.

Answer:

The answer is B. x^2+14x

Answer:

x^2+8

Step-by-step explanation:

Answer:

The two functions are inverses.

Step-by-step explanation:

We are supposed to find whether the two functions are inverses.

[tex]f(x)=5x+4[/tex]

[tex]g(x)=\frac{x-4}{5}[/tex]

To find the inverse of f(x)

y = 5x+4

y-4=5x

[tex]\frac{y-4}{5}=x[/tex]

Replace x with y and y with x

So, [tex]\frac{x-4}{5}=y[/tex]

So, [tex]\frac{x-4}{5}=g(x)[/tex]

So,The two functions are inverses.

Answer:

The top one, that is the hyperbole.

The equation of hyperbola is      [tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]

A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

• If the foci lie on the x-axis, the standard form of a hyperbola can be given as,

[tex]\frac{(x-h)^{2} }{a^{2} } - \frac{(y-k)^{2} }{b^{2} } = 1[/tex]

• If the foci lie on the y-axis, the standard form of the hyperbola is given as,

[tex]\frac{(y-k)^{2} }{a^{2} } -\frac{(x-h)^{2} }{b^{2} } = 1[/tex]

• Coordinates of the center: (h, k).

• Coordinates of vertices: (h+a, k) and (h - a,k)

• Co-vertices correspond to b, the ” minor semi-axis length”, and coordinates of co-vertices: (h,k+b) and (h,k-b).

• Foci have coordinates (h+c,k) and (h-c,k). The value of c is given as, c2 = a2 + b2.

• Slopes of asymptotes: y = ±(b/a)x.

According to the question

Foci = (3,7) (3,-3)

Vertices = (3,5) (3,-1)

As per coordinates and graph the hyperbola is vertical so x will be constant y varies

Distance between foci = 2c (where c is center)

10 = 2c

C = 5

Therefore Centre (h,k) = (3,5)

Distance between vertices = 2a

2a= 6

a = 3

The value of c is

[tex]c^{2} = a^{2} + b^{2}[/tex]

25 = 9 + [tex]b^{2}[/tex]

[tex]b^{2}[/tex] = 16

Now as per our equation

h=3 , k=5 , [tex]a^{2}[/tex] = 9, [tex]b^{2}[/tex] = 16

[tex]\frac{(y-k)^{2} }{a^{2} } -\frac{(x-h)^{2} }{b^{2} } = 1[/tex]

[tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]

Hence, equation of hyperbola =    [tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]

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Answer:

O & T have rotational symmetry

Answer:

37.6991 or C

Step-by-step explanation:

Radius = 6

diameter = 12

Answer:

C

Step-by-step explanation:

You basically multiply the 2 functions together which gives you (2x + 3)(x + 1) = 2x² + 5x + 3

Answer:

The answer is C.

Step-by-step explanation:

Given that f(x) = 2x + 3 and g(x) = x + 1. So you have to multiply both functions together :

[tex]f(x) = 2x + 3 \\ g(x) = x + 1[/tex]

[tex]f(x) \times g(x)[/tex]

[tex] = (2x + 3)(x + 1)[/tex]

[tex] = 2x(x) + 2x(1) + 3(x) + 3(1)[/tex]

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

[tex] = 2 {x}^{2} + 5x + 3[/tex]

Answer:

18 since 12 x 2 = 24 so 9 x 2 = 18

Step-by-step explanation:

Answer:

18 ft

Step-by-step explanation:

12 * 2 = 24

SO

9 * 2 = 18

Answer:

25%

Step-by-step explanation:

Let p be the percent

Of means multiply and is means equals

p * 75 = 18.75

Divide each side by 75

75p/75 = 18.75 /75

p =.25

Change to percent form

p = 25%

Answer:

[tex]25\%[/tex]

Step-by-step explanation:

Let the percent as x

[tex]x \times 75 = 18.75 \\ 75x = 18.75 \\ \frac{75x}{75} = \frac{18.75}{75} \\ x = 0.25 \\ \\ \\ 0.25 = \frac{25}{100} = 25\%[/tex]

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Answer:

45/84

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

The cost for the whole group using distributive property to expand the expression and solve the problem is $28

Total cost of the group = Number of people including Kate(Cost of getting in per person) + (Number of people including Kate(Cost per ride per person)

= 4(5) + 4(2)

= 20 + 8

= $28

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Answer: [tex]3*\sqrt{3}[/tex] = x

Step-by-step explanation:

With our knowledge of a 30 60 triangle we can determine the value a from dividing 6 by 2. Look at my diagram for clarification. From now know the value of a as 3 we can make x = [tex]3*\sqrt{3}[/tex] .

Step-by-step explanation:

Near (-4.4,0)

.....

.....

Answer:

-4.4  ,   0      =  x , y

Step-by-step explanation:

The answer is of where the coordinates are.

As you didn't say the statements in your question.

We realize x is 4.4 times  the size of  y as y is '0' so this means the negative value for x is 4.4 smaller than y.

Answer:C

Step-by-step explanation:

Answer:

a= 2 b=-9

Step-by-step explanation:

Please refer to the picture attached.

You can clarify the answer by substituting random points like (0,0) and transformed point

E. G. (0, - 4) in step 1 and (4,0) in step 2 into the original equation and transformed equation for checking.

Answer:

B

Step-by-step explanation:

Answer:

its b :D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-9x+1 = -x+17

1-17 = -x+9x

-16 = 8x

-16/8 = x

-2 = x

Answer:

B x = - 2

Step-by-step explanation:

-9x + 1 = -x + 17

-9x + x = 17 - 1

- 8x = 16

- x = 2  | ·(-)

x = - 2

Answer:

Property of equality division

Step-by-step explanation:

Given

c = d

b ≠ 0 then c∕b = d∕b

Required

State the property used

From list of options a through d, only option A best fits the description.

This is so because property of equality division is such that

given two variables c and d where c = d

[tex]\frac{c}{b} = \frac{d}{b}[/tex]

Provided that b ≠ 0

Take for instance;

b = 2; c = 8 and d = 8;

This implies that

[tex]c = d[/tex]

[tex]8 = 8[/tex]

Divide both sides by 2 (assumed value of b)

[tex]\frac{8}{2} = \frac{8}{2}[/tex]

[tex]4 = 4[/tex]

Answer:

y= -4x-9

Step-by-step explanation:

We just need to find the y-intercept, b. Recall that y-intercept form is y=mx+b. Plug in what we have. y=-4, m=-4, x=-4. 7=-4(-4)+b. 7=16+b -9=b now rewrite the equation with b now. y=-4x-9

Answer:

y = - 4x - 9

Step-by-step explanation:

Line is passing through the point [tex] (-4,\: 7)= (x_1, \: y_1) [/tex] and has slope m = - 4.

Equation of line in slope point form is given as:

[tex](y-y_1) = m (x-x_1) \\

\therefore (y-7) = - 4\{x-(-4)\}\\

\therefore y - 7 = - 4(x + 4)\\

\therefore y = - 4x - 16+7\\

\huge \red {\boxed {\therefore y = - 4x - 9}} \\[/tex]

This is the equation of line in slope-intercept form.

Answer:

i don't know okkkkkk

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Lobachevsky's Negation created spherical geometry.

● A. True

O B. False

Answer:

Amount 2382.03

Interest = 382.03

Step-by-step explanation:

A = P (1+r/n)^nt

Answer:

Volume=  base*height*length; Volume= 24*9*24; Volume= 5,184 square feet

Step-by-step explanation:

The lenghth of the square is 24 feet which makes the base 24 since it is a square.  So, you just have to multiply 24*24*9 to get the total volume.

Answer: 28.27 cm

Step-by-step explanation: A circle of radius = 3 or diameter = 6 or circumference = 18.85 centimeters has an area of 28.27 square centimeters.

Answer:

[tex]= 28.26 {cm}^{2} \\ \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ r = 3 \\ \\ \\ area = \pi {r}^{2} \\ = \pi \times 3 \times 3 \\ = 28.26 {cm}^{2} \\ [/tex]

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good luck! have a nice day!

Answer:

i have the same thing that im confused on

Step-by-step explanation:

confused help-

Answer:

B

Step-by-step explanation:

U find the gradient of the line by subtracting the y intercepts and the x intercepts

4-3/1--2=1/3

Y-3/x--2=1/3

3(y-3)=x+2

3y-9=x+2

3y=x+2+9

3y=x+11

Y=x/3 + 11/3

Answer:

78.5, or 25 pi

Step-by-step explanation:

25(3.14)

Answer:

The answer is 3.53

Step-by-step explanation:

The formula for a semicircle is pi x r2 divided by 2, so divide the diameter by 2, then plug that in as the radius into the formula.

Answer:

work is shown and pictured