Answer:
Domain : { -3, 0, 3}
Range : { 1 , 1 , 1 }
Function : These set of ordered pairs are functions as every x-value has only one y-value associated with it.
Answer:
Well, how many were left over? Mrs. Adams has a muffin factory and made 1 million muffins. Carl ate 2/5 or 40% or 400,000 muffins, and John ate 25. 599,975 muffins were shipped for sale. That meets the stated requirements.
Hence, we have to guess there were supposed to be no muffins left over.
In that case, Mrs. Adams baked 125/3 muffins, Carl ate 2/5 of them = 50/3, leaving 75/3 = 25 for John.
Step-by-step explanation:
x muffins baked, 2/5 eaten by Carl, 3/5 left to be eaten by John, who ate 25 before running out.
3/5 x = 25
x = 25 × 5/3 = 125/3 = 41 + 2/3
Or, Start with x muffins. Carl ate 2/5 x, leaving 3/5 x. John ate 25 with zero left over. So 3/5 x = 25.
(x - 2/5 x) - 25 = 0
3/5 x = 25
x = (5/3) × 25 = 125/3.
Answer:
Cavalier's principle can be used to find the volume of any solid.
Step-by-step explanation:
Cavalier's Principle:
- Cavalier introduced parallel planes and area to describe the relationship between solids.
- Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.
- Suppose two regions are included between two parallel planes.
- If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
- The formula for the volume of a prism is the area of the base times the height.
Answer:
Step-by-step explanation:
A to C
y = b + mx
b = y-intercept
m = slope of line
Looking at the line, the line crosses the y-axis at the coordinates (0,0). This means that the y-intercept is 0.
The slope formula is m=(y2-y1)/(x2-x1). Using the points on the line (-1, -3) and (1,3) we find that the slope is, 3.
Looking back we can see that our variables now have value so we can plug them into our formula.
y = b + mx
b = 0
m = 3
Substitute
y = 0 + 3x
Answer:
d
Step-by-step explanation:
