Answer:
(x, y) → (x+8, y-3)
Step-by-step explanation:
You are moving the x coordinates 8 steps to the right, which is in the positive direction. This makes the change +8. This is where the x+8 comes from.
For the y coordinates, you are moving 3 down, which is in the negative direction which means it is y-3.
(You can pick one point, D, and track its movements. We can see that point D had to move 8 units to the right and 3 units down to become D'.)
This equation follows the format y=mx+b, where m is the slope of the line and b is the y intercept. In this question, the slope of the line is -2 and the y-intercept is 5.
<em>The slope of the line is -2:</em> this means that each point is down 2 and to the right 1 of each other.
<em>The y-intercept is 5</em>: this means that the line crosses the y-axis at 5.
The picture shows the graphed line.
Hope this helps!
Complete question :
There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.
Answer:
575 - 12t
Step-by-step explanation:
Given the following :
Total number of fireworks = 575
Number of shots per minute = 12
To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.
In algebraic terms
[total number of fireworks on display - (number of shots per minute × t)]
575 - 12t
Answer:
x ≥ 15
Step-by-step explanation:
First you need to make an equation for this. If he already has $50 and needs <u>at least</u> 500 and deposits $30 per day we can put the equation as 30x + 50 ≥500. The reason we put a greater than or equal sign (≥) rather than the less than or equal sign (≤) is because Fred needs <u>at least</u> meaning you can have exactly or 500 exactly. To solve this you would have to do inverse operation and subtract 50 on both sides. You should have 30x≥450. Then divide 30 on both sides. Your answer should be x ≥ 15.