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Aloiza [94]
3 years ago
14

At the BOBA CLUB you must be a member to buy boba. A membership cost $4. Once you are a member of BOBA CLUB each Boba drink is $

2. At JACK’S BOBA you do not need to be a member. Anyone can walk in JACK'S BOBA shop and buy one drink for $3
Boba Club: y=2x+4
Jacks Boba: y=3x

Which is cheaper if you want to buy 7 boba drinks? How much cheaper? What is the solution to the system of equation?
Mathematics
2 answers:
Paul [167]3 years ago
7 0

Answer:

Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.

Step-by-step explanation:

mash [69]3 years ago
4 0

Answer:

Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.

Step-by-step explanation:

Boba Club: y=2x+4

Jack's Boba: y=3x

Replace the X variable with 7 for both equations. For Boba Club, multiply 2 by seven to get 14, then add four to get 18. For Jack's Boba, multiply 3 and 7 to get 21. Boba Club is cheaper. (What would you need 7 Boba drinks for though?)

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Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
4x/3+3=x-2 <br>value of x ?​
Gekata [30.6K]

Answer:

x = - 15

Step-by-step explanation:

Given

\frac{4x}{3} + 3 = x - 2

Multiply through by 3 to clear the fraction

4x + 9 = 3x - 6 ( subtract 3x from both sides )

x + 9 = - 6 ( subtract 9 from both sides )

x = - 15

6 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (2,3) and (8,6)
Ugo [173]

Answer:

3/6

Step-by-step explanation:

slope is rise over run so y-axis is rise x-axis is run. that gives me the answer

8 0
3 years ago
How do graphs and equations reveal information about a relationship between two quantities
ohaa [14]
When two quantities have a relationship, there is a corresponding equation that could describe it. These two quantities may be expressed in variables of x and y. When you plot the graph, you may see a line or a curve. This presents the trend of the relationship of the two quantities when the independent variable changes.
7 0
4 years ago
Read 2 more answers
If 32^2c=8^c what is the value of c? 1 2 3 5
Elina [12.6K]

Answer:

  • as written, c ≈ 0.000979 or c = 4
  • alternate interpretation: c = 0

Step-by-step explanation:

<em>As written</em>, you have an equation that cannot be solved algebraically.

  (32^2)c = 8^c

  1024c = 8^c

  1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

  32^(2c) = 8^c

  (2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

  2^(10c) = 2^(3c) . . . . . . . simplify

  10c = 3c . . . . . . . . . . . . . .log base 2

  7c = 0 . . . . . . . . . . . . . . . subtract 3c

  c = 0 . . . . . . . . . . . . . . . . divide by 7

7 0
3 years ago
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