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aksik [14]
3 years ago
10

The table below represents a proportional relationship. The unit rate of the relationship is

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Answer:

the unit rate is 3

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!!!!Pls help!!!!!
hichkok12 [17]

Answer:

(2,4) is a solution to this system of equations

Step-by-step explanation:

Given system of equation are

y=2x \hfill (1)

y=\frac{-1}{2}x+5\hfill (2)

To find the solution of the given system of equations

To Check that (2,4) is a solution to this system or not

Solving equations (1) and (2)

From equation (1) and y=2x

Now substitute y=2x is equation (2)

2x=\frac{-1}{2}x+5

\frac{-1}{5}x+5-2x=0

5-\frac{x}{2}-2x=0

5-\frac{x+4x}{2}=0

5-\frac{5x}{2}=0

\frac{10-5x}{2}=0

10-5x=0

-5x=-10

x=\frac{10}{5}

Substitute x=2 in equation (1)

y=2x

y=2(2)

Therefore y=4

Therefore the solution is (2,4)

Therefore (2,4) is a solution to the system of equations.

4 0
3 years ago
Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the dist
lesya [120]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

v = x + ( x-3 )\\\\v = 2x - 3

Now, distance travelled in 3 hours is (98-2) miles .

So,

2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

5 0
3 years ago
Austin and Dale earn money by painting fences over the summer. Working alone, Austin takes 3 hours longer than Dale to paint a f
mojhsa [17]

Answer:

Austin will take 9 hours to paint a room and dale with take 3 hours to paint a room

Step-by-step explanation:

3 0
3 years ago
If you vertically compress the linear parent function, F(x) = x, by multiplying by 1/2 , what is the equation of the new functio
ElenaW [278]
Vertical compression of a function is moving the graph of the function towards the x axis.
It is done by multiplying F(x) with IaI<1, the absolute value of a is less than 1. Then we get f(x)=a*F(x).

If we have a function F(x)=x, and we multiply it by a=1/2, we get:

f(x)=a*F(x)=a*x=(1/2)*x.

This linear function is vertically compressed because the the graph of a new function is closer to the x axis. 
6 0
3 years ago
Read 2 more answers
PLEASE HELP IM STUCK
kkurt [141]

Answer:

y= 2x + 10

Step-by-step explanation:

The variable depends on the $2 so, the green box should be 2

4 0
1 year ago
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