Select all the correct locations on the graph. At which points are the equations y = x2 + 3x + 2 and y = 2x + 3 approximately equal? 2.
Answer:
Step-by-step explanation:
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:
2x - y = 6
y = 2x - 6
We substitute the equation above to the second equation.
5x + 10y = –10
5x + 10( 2x - 6 )= –10
Simplifying,
5x + 20x - 60 = -10
25x = 50
x = 2
Therefore, the intersection has the value of x equal to 2.
Answer:
156
Step-by-step explanation:
Volume is a three-dimensional scalar quantity. The number of kleenex boxes that can fit in the large box is 4096.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the larger box have a length of the side as 4 feet. Also, the kleenex box is a cube with side lengths of 3 inches. Therefore, the number of cubes that will fit is,
Number of boxes = Volume of Larger box / Volume of kleenex box
Number of box = (4 feet)³ / (3 inches)³
Number of box = (48 inches)³ / (3 inches)³
Number of box = 4096
Hence, the number of kleenex boxes that can fit in the large box is 4096.
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2,180,000 80,000 being rounded up from 78,421