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solmaris [256]
3 years ago
5

Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill i

s $250 a month. Jill will be picking up the water bill for everyone as well as half of the electric. Ron will be paying the other half of the electric bill as well as his third of the rent. Jack will be paying Jill's portion of the rent as well as his own. 
Match each person with the appropriate algebraic expression.-abcd -abcd 185-abcd -abcd Jill's paymentJack's paymentRon's paymentNo Match
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0
Jack: 2R/3
Jill: 3 • 20 + 0.5 • 250 = 185
Ron: R/3 + 125

hope that helps

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Fred borrows $1120 at 19% intenest
myrzilka [38]

Answer:

$638.4

Step-by-step explanation:

19% of 1120 = 212.8

212.8 x 3 = 638.4

5 0
3 years ago
Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
the area of a parallelogram is 36x^6y^5. if the base of the parallelogram is 3xy^2,what is the height of the parallelogram ​asap
trapecia [35]

Answer:

h = 12x^5y^3

Step-by-step explanation:

The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.

A = b*h

36x^6 y^5 = 3xy^2 * h

36x^6 y^5 ÷ 3xy^2 = h

12x^5y^3 = h

4 0
3 years ago
Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?
Vikki [24]

Answer: The correct option is second.

Explanation:

The given function is,

f(x)=5(0.8)^x

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

(x,y)\rightarrow(x,-y)

The given given equation can be written as,

y=5(0.8)^x

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

-y=-5(0.8)^x

Because f(x)=y and g(x)=-y.

g(x)=-5(0.8)^x

Therefore the second option is correct and the graph of both function is given below.

6 0
3 years ago
Read 2 more answers
PLEASE HELP FASTTTTTT IT IS DUE SOON thank you!
lions [1.4K]

Answer:

The answer to both photos is 1.

Step-by-step explanation:

Rise over run is looking at each plotted point on the graph and counting upward until level with the first point from zero, then going across the graph until you reach the plotted point.

The rise for the first picture is 3/1, and if you reverse them, you get, (1, 3).

- Hope this helps, good luck.

5 0
3 years ago
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