3y = x -4
5x - 6y = 8
How many solutions does the system have?
O One solution
O No solution
0 Infinitely many solutions

Answer:

y= 5/7x -2.7

Step-by-step explanation:

Y= mx + c                             (-3,-3)   (4,2)

                                           x1  , y1     x2, y2

to find m (gradient)

y^2 - y^1 / x^2 - x^1

2-(-3) / 4 - (-3)

5/7                               m = 5/7

take (4,2)  and gradient and substitute

2=5/7(4) + c

2=4.7+ c

2-4.7 = c

-2.7 = c

now we have c and m so just put it in the equation

y= 5/7x -2.7

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

===========================================================

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

Answer:

x = 9/11

Step-by-step explanation:

5x = -6x + 9

Add 6x to both sides

11x = 9

Divide both sides by 11

x = 9/11

Answer:
X Equals 9/11

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.

Answer:

7x - 7

Step-by-step explanation:

In this equation you are going to add like terms.

The like terms you have are the terms with x and then the terms without the x.

So 4x + 3x = 7x

5 - 12 = -7

So your answer is 7x-7

Answer:

Step-by-step explanation:

raduis and diameter.

The alternate interior angles shown are <3 and <5, as well as <2 and <8.

I hope this helped!

Answer:

ur answer would be

<2 and <5

step-by-step explanation:

hope this helps

Answer:

Game =$6 and ride=$9, to solve is 3x+4y=54

x+y=15

Step-by-step explanation:

;)

Answer:

11a - 8b.

Step-by-step explanation:

7a + 4(a-2b)

= 7a + 4a - 8b

= 11a - 8b.

Answer:

infinitely many solutions cuz in mathmatices any problem has solution

-4(9r+10)+5(10r+7)

Multiply the first bracket by -4

Multiply the second bracket by 5

(-4)(9r)(-4)(10)

=-36r-40

(5)(10r)+(5)(7)

=-50r+35

-36r-40+50r+35

-36r+50r-40+35 ( rearranging)

14r-5

Answer: 14r-5

Answer:

This is really simple, the answer is 1r, or just r

Step-by-step explanation:

this can also be seen as 10r-9r

Answer:

y=5/3x+-3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Creo nose XD (revisa los múltiplos de 11 siempre son pares) xd

Answer:

V ≈ 509 m3 ← with  3.14 for π =2462 feet³

Step-by-step explanation:

I hope I helped, This is my math just round up :)

Answer:

[tex]\boxed{\textsf {The given polynomial is a quadratic polynomial. }}[/tex]

Step-by-step explanation:

A polynomial is given to us and we need to make the polynomial by its degree . Here the given polynomial is 3x² + 5x -3 .

[tex]\sf\implies p(x)= 3x^2+5x-3 [/tex]

So here we can see that the highest power of the variable in the given polynomial is 2 . So the polynomial is a quadratic polynomial .

★ More to Know :-

When we equate this quadratic polynomial with 0 , it becomes a quadratic equation.

That is ,

[tex]\sf\implies p(x)= 3x^2+5x-3=0[/tex]

This is done in order to find the zeroes of the polynomial. The zeroes of the polynomial are the values for which the polynomial becomes 0 .

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

Answer:

x= -11.2

Step-by-step explanation:

5/7x-14=-22

      +14 +14        Add 14 on both sides

  5/7x = -8        

(7/5)*5/7x = -8*(7/5)     Multiply by the reciprocal on both sides to leave x alone

  x= -11.2      Answer

Answer:

h = [tex]\frac{3v}{\pi r^{2} }[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

115 m

Step-by-step explanation:

4 + 9 + 6 + 4 = 23 cm

23 x 5 = 115 m

Answer:

<Ber=<kem(vertically opposite angle)

9x-17=3x+31

9x-3x=31+17

6x=48

x=48/6=8

<kem=3×8+31=55°is answer

Answer:

volume = Pi(2x^2+3x-5) x (2x+5)^2    or     P1(8x^4+52x^3+100x^2-125)

Step-by-step explanation:

radius = (4x+10)/2 = 2x+5

volume = Pi(2x^2+3x-5) x (2x+5)^2

volume = Pi(2x^2+3x-5) x (4x^2+20x+25)

volume = P1(8x^4+52x^3+100x^2-125)

Answer:

4/30 or 4/120

Step-by-step explanation:

Answer:

The time it will take is 8hours 45mins.

Step-by-step explanation:

Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.

A descent of 2100 means y = –2100. Hence,

–2100 = –240x

x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).

Answer:

i think it is b but i am not 100%

sorry if i am wrong

Step-by-step explanation:

Answer:

The answer is 18

Step-by-step explanation:

18 + x really means 18 + 0, because x is equal to 0

and if 18 + x = y, it means 18 + 0 = y,

so y is equal to 18

hope this helped!

Answer:

Ge I Joe 02 04 Soccer balls height

mag Aral ka wag ka mag hanap Ng sagot

Answer:

3 tenths

Step-by-step explanation:

The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

We know, A number has two values face value and place value,

Given, A decimal number 16.35.

Now, The digit 3 is one digit after the decimal,

So, It has a face value of 3 and a place value of 3×10⁻¹.

learn more about face value and place value here :

https://brainly.com/question/23719802

#SPJ2

Answer: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1