Answer:
y = 3x + 5
Step-by-step explanation:
The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5
<u>Case 1 :</u>
5 positive x-tiles = 5x
1 positive unit tile = 1
5 positive x-tiles and 1 positive unit tile = 5x + 1
<u>Case 2 :</u>
2 negative x-tiles = -2x
6 positive unit tiles = 6
so, 2 negative x-tiles and 6 positive unit tiles = -2x+6
We see that Gracia has represented the 1st case as 5x+(-1), which should be 5 positive x-tiles and 1 negative unit tile.
Hence the statement : 5 positive x-tiles and 1 positive unit tile to represent 5x+(-1) , explains Gracia's error.
Answer:
255 minutes
Step-by-step explanation:
306 can be subtracted by 102 a total of 3 times. We know that for every 102 miles = 85 minutes. So 85 * 3 = 255.
Answer: -23
Step-by-step explanation:
Since we are given the value of m, all we have to do is to plug m into the expression and solve.
-23(-38+39) [parenthesis]
-23(1) [multiply]
-23
Now, we know that the expression is -23 when m=-38.
Answer:
Option b
Step-by-step explanation:
To write the searched equation we must modify the function f (x) = | x | in the following way:
1. Do y = f(x + 4)
This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.
y = | x +4 |
2. Do 
This operation horizontally expands the function f (x) = | x | in a factor of 4 units. 
3. Do 
This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

4. After these transformations the function f(x) = | x | it looks like:

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)
