Answer:
Area of the rectangular pen is:
Step-by-step explanation:
We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:
Perimeter= 2 x + 2 y = 36
so, 2 (x+y) = 36 then (x+y) = 18
and therefore the side y should be:
y = 18 - x
Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y
There are 6 balls to every box (a ratio of 6 to 1). Therefore, when there are 78 balls, there are 13 boxes.
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost dollars and each pound of jelly beans cost dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So, --------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So, --------------- 2
Multiplying equation 2 by -3, we get
Now, adding equations 1 and 3, we get
Now, plug in in equation 1 and solve for .
Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
For 64 it’s A. , C. , D. and for 3 it’s D. and F
Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.
The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).
A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.
In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.