1) To graph y = 2x +3, give 2 different value for x & find its related y value:

for instance if x = 0 , then y = 3

if x = 1, then y = 5
Plot The coordinates of A(90,3) & B(1,5). You need just 2 point to draw a line.

2) The inverse of y=2x+3

a) Switch the x & y ===> x=2y+3

b) subtract 3 from both sides ===> x-3=2y+3-3===> x-3 = 2y

c) divide both sides by 2 ===> (x-3) / 2 =2y / 2 ==> 1/2(x-3)=y

And the inverse function of y = 2x+3 is y= 1/2(x+3)

7 0

3 years ago

An object is moving at a speed of 4 meters per month. Express this speed in inches

BartSMP [9]

Answer:

<h2>0.22inches/hour</h2>

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence 4 metres = 157.77inches.

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence 1 month = 720hours

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour

7 0

3 years ago