When the two equations are graphed on a coordinate plane, they intersect at two points.

y=3x^2+4x+3

y=−2x+3

what are the points of intersection?

enter your answers in the boxes.

and

  (-2, 7) and (0, 3)

Step-by-step explanation:

A graph of the two equations clearly shows the points of intersection.

The equations are conveniently graphed by a graphing calculator (as here) or by a spreadsheet program, on-line graphing tool, or graphing app.

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Alternate solution

You can set the two values of y equal to each other, then solve for x.

  3x^2 +4x +3 = -2x +3

  3x^2 +6x = 0 . . . . . subtract the right side expression

  3(x)(x +2) = 0 . . . . . factor the equation

  x = 0, x = -2 . . . . . . solutions that make the factors zero

  y = -2{0, -2} +3 . . . . substitute the values of x into the expression for y

  y = {0, 4} +3

  y = {3, 7} . . . . . . . . . the values of y corresponding to x = {0, -2}

Then the points of intersection are (0, 3) and (-2, 7).

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.