(2,4), (4,8), (3,6), (5,10) because they’re all ratios of 1:2
Given the function. y = 3x + 5
For, x = -3; y = 3(-3) + 5 = -9 + 5 = -4
For x = 1; y = 3(1) + 5 = 3 + 5 = 8
For x = 4; y = 3(4) + 5 = 12 + 5 = 17
Thus the table representing the function is the table with: -3, 1 and 4 as x-values and -4, 8, 17 as y-values.
For x = 0; y = 3(0) + 5 = 0 + 5 = 5
For y = 0; 0 = 3x + 5; 3x = -5 and x = -5/3
Thus the graph of the function is a straight line passing through points (0, 5) and (-5/3, 0).
To illustrate the fuction as a word statement we say that y is five more than three times x
From the given descriptions, the graph does not represent the graph of y = 3x + 5.
Therefore, the one that does not describe the same situation is the graph.
Answer:
- 40
Step-by-step explanation:
Answer:
DB = 24
Step-by-step explanation:
First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.
Also, AE + CE = CA
So, using this, we can write this equation:
AE = CE
x + 4 = 3x -12
Subtract 4 from both sides.
x = 3x -16
Subtract 3x from both sides.
-2x = -16
Divide both sides by -2
x = 8
Then, substitute this into AE + CE = CA
x + 4 + 3x - 12 =
8 + 4 + 24 - 12 = 24
Then, because CA = DB,
DB = 24
I hope this helps! Feel free to ask any questions! :)
Answer:
3.5 hours
Step-by-step explanation:
Ediburgh -------------------------------350 miles-------------------------London
Let the distance traveled by train from Edin to London be "x"
hence the distance traveled by train from London to Edin would be "350-x"
- The rate of Edin to London train is 60
- The rate of London to Edin train is 40
Let the time they meet be"t"
Now, we know distance formula to be D = RT
Where
D is distance
R is rate
and
T is time
<u>Train from Edin to London:</u>
x = 60t
<u>Train from London to Edin:</u>
350-x = 40t
Solving for x:
350 - 40t = x
We put this into first equation:
x = 60t
350 - 40t = 60t
350 = 100t
t = 350/100
t = 3.5
They meet after 3.5 hours
