Answer:
See below
Step-by-step explanation:
Let's suppose you're getting a new phone plan. The phone plan charges a flat fee of $5 and costs $9 a month. How can we represent this relationship?
Since $5 is a flat fee, it doesn't change based on how many months you've had the plan because it always remains $5, so this is our y-intercept.
Because the plan costs $9 a month, this represents our rate of change, or slope, showing that every month you have the plan, you multiply by $9.
So, we can show this as y=9x+5 where x is the number of months of the phone plan and y is the cost of the phone plan given x amount of months
Now, what if you wanted to know how much the phone plan would cost after 4 months?
Simple enough, we can just substitute x=4 into our equation and get y=9(4)+5=36+5=41. So, getting the phone plan for 4 months costs $41.
Let's take this the other way around. What if we wanted to figure out how many months of the phone plan are covered by $50?
We would then substitute y=50 into our equation and solve for x:
y=9x+5
50=9x+5
45=9x
5=x
This would mean $50 would cover 5 months of the phone plan.
All in all, these are real-life examples of algebra.
Answer:
Step-by-step explanation:
Let the dogs' ages be represented by b and m.
b + m = 16
b - m = 2
Adding these equations gives ...
2b = 18
b = 9 . . . . . . divide by 2
m = 7 . . . . . . 2 years younger than Beau
Beau is 9; Max is 7.
_____
Once you realize the above solution is generic, you can write down the answer that <em>(older)</em> Beau is half the <em>sum</em> of the given numbers: (16 +2)/2 = 9. Then Max's age is easily found, or it can be computed as half the difference of the given numbers: (16 -2)/2 = 7.
Answer:
0 = 0
Step-by-step explanation:
The input is an identity: it is true for all values.
Answer: Option A and option B.
Step-by-step explanation:
By definition,t wo angles are vertical when they share the same vertex, this happen when two lines intersect each other. Therefore, they are opposite and equal.
The angles given in the options of the problem, whicht share the same vertex , are the following angles:
∠ATN and ∠RTD
∠BTD and ∠ATP
Then the answer is: Option A and option B.
Answer: y=-2x+12
Step by Step explanation:
4x+2y=24
-4x -4x
-------------------
2y=-4x+24
---- ----- -----
2 2 2
y=-2x+12
