Answer:
So the maximum value of P is 138.
Step-by-step explanation:
P(0,0)= 24(0) + 30(0) =0
P(0,1)= 24(0) + 30(1) =30
P(5,0)= 24(5) + 30(0) =120
P(2,3) =24(2) + 30(3) = 138
I also attached the graph images and constraints image as well so according to this is answer for this question, and i hope you got the idea thanks.
Answer:
3/2
Step-by-step explanation:
First, let's simplify the given equation to make it easier to see the gradient (slope).
2y = 3x - 4 (Given)
y = 3/2x - 2 (Divided 2 on both sides)
Now, we can see that the gradient of the given line is 3/2. Since line AB is parallel to the given line, it will have the same gradient. Therefore, line AB's gradient is 3/2.
Hey there!
On this problem, we have to combine like terms. A like term in this sense doesn't have to have the same coefficient, but it has to have the same variable.
Our like terms are 2m and 4m, along with 3 and 5.
When we add 2m and 4m we get 6m, and when we add 5 and 3 we get eight.
Notice how 5 and three are like terms because they're both whole numbers and don't have any variables.
Your solution is 6m + 8.
My advice to you is pay attention to your like terms and don't mix them up. A strategy is to underline like terms in the same color.
Hope this helps!
Answer:
See below. The series converges.
Step-by-step explanation:
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.
