y varies inversely as x, if y = -3 when x = -6, find y when x = 14.

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:

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:

Josie and Emmanuel are the same.

Step-by-step explanation:

By pluggin the numbers given into the equations, you find that Josie and Emmanuel are 5/8 while Maria is 120.

Answer:

josie and emmanuel

Step-by-step explanation:

Answer:

The inequality can be written as:

45x + 1240 ≥ 6000

Step-by-step explanation:

Total number of members = 45

If one person donates the sum of = $x

Then the total amount raised by 45 people becomes = 45x

Minimum amount of money required to compete in the championship = $6000.

Money which they already have = $1240

So, Amount of money they have to raise = $6000 - $1240

We can show inequality as:

45x ≥ 6000 - 1240

Which show that the total amount raised by 45 people (45x) should be equal or greater than the amount of money they have to raise ($6000 - $1240)

Rearrange the equation;

45x + 1240 ≥ 6000

Answer:

45/84

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

i am gonna say D

Step-by-step explanation:

because well you don't what the total or the outcome is

correct me if i am wrong

Answer:

work is shown and pictured

Answer:

Im so sorry!

Step-by-step explanation:

>:(

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:

-2,4

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4८३346८

Answer:

B

Step-by-step explanation:

divide equatio with 2/3

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:

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:

The distance between to 2 point is 15 units.

Step-by-step explanation:

You have to apply distance formula using coordinates :

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {y2 - y1)}^{2} } [/tex]

Let (x1,y1) be (-8,6),

Let (x2,y2) be (1,-6),

[tex]distance = \sqrt{ {(1 + ( - 8))}^{2} + { (- 6 - 6)}^{2} } [/tex]

[tex]distance = \sqrt{81 + 144} [/tex]

[tex]distance = \sqrt{225} [/tex]

[tex]distance = 15 \: units[/tex]

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:

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:

i have the same thing that im confused on

Step-by-step explanation:

confused help-

Answer:

True

Step-by-step explanation:

Lobachevsky's Negation created spherical geometry.

● A. True

O B. False

Answer:

78.5, or 25 pi

Step-by-step explanation:

25(3.14)

Answer:

D)[tex] \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{45} }{ \sqrt{9} } = \ \sqrt{ \frac{45}{9} } = \sqrt{5} [/tex]

Answer:

B

Step-by-step explanation:

Answer:C

Step-by-step explanation:

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: Linear; y=-x - 1

Step-by-step explanation: The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x.

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]

hope this helps

brainliest appreciated

good luck! have a nice day!

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]

To know more about hyperbola  here :

https://brainly.com/question/15697124

# SPJ2

Answer:

Amount 2382.03

Interest = 382.03

Step-by-step explanation:

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

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] .

Answer:

9.31

Step-by-step explanation:

Answer:

C. 9.31

Step-by-step explanation:

9.31 is larger than 9.30 and the rest of the decimals. Should be simple to understand.

Answer:

[tex]y>3x+ 2[/tex]

Step-by-step explanation: