Step-by-step explanation:
<u>Step 1: Determine an ordered pair</u>
A solution of an equation just means that the point lies on the line. We can find any y-value when we plug in a specific x-value. For example, if we want to know what ordered pair lies at x=1, we just plug in y = -1/2(1) and solve for y which gives us -1/2. This gives us an ordered pair of (1, -1/2). We can continue to do this for any x value.
We can also reverse the order and plug in the y-value and get the x-value in order to accomplish the same goal but it's a bit harder.
Hope this helps!
Answer:
32.
Step-by-step explanation:
Answer:
21 books are on each shelf.
Step-by-step explanation:
To solve this you need to divide 130 and 6 so you should get 21 with a remainder of 4 which is the amount of books on each shelf and the amount of books that are left over.
I hope this helps :D
Answer: t= 13.2 seconds
Step-by-step explanation:
The quadratic function for ball's height in terms of time t is given as
s(t)= -16t² +192t + 256
Now we want to find out the time at which the ball hits the ground.
When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0
0= -16t² +192t + 256
or 16t² -192t - 256 = 0
Solving this quadratic equation, we have
t= 13.211 and t= -1.211
Since time can't be negative so
t= 13.2 seconds
We have the equations:
x + 3 = 15 and 3y - 1 = 2x - 4
x + 3 = 15 |-3
x = 12
Put the value of x to the second equation:
3y - 1 = 2(12) - 4
3y - 1 = 24 - 4
3y - 1 = 20 |+1
3y = 21 |:3
y = 7
<h3>Answer: x = 12 and y = 7.</h3>