Answer:
Step-by-step explanation:
-2x -3y = 5
4x + 3y = 17
2x = 22
x = 11
4(2) + 3y = 17
8 + 3y = 17
3y = 9
y = 3
(11,3)
Answer: she could serve 8 people
Step-by-step explanation:
each guest wanted 1/8 so first she would have to make it into 8 equal parts then give each guest 1 slice of pie.
9514 1404 393
Answer:
- relative maximum: -4
- relative (and absolute) minimum: -5
Step-by-step explanation:
The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.
The relative maximum is -4.
__
A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)
The relative minima are -5.
__
A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)
_____
Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.
For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: 
Then, the complete expression is represented as:

Adding 10 to both sides of the equation:

Thus, the value of the variable is 
Answer:

Answer:
13 m
Step-by-step explanation:
<u>The distance x is:</u>
x = √12² + (13 -8)² = √144 + 25 = √169 = 13 m