Given: 2x^2+ 32x + 16 = 0 Step 1: x^2+ 16x +8=0
Step x^2+ 16x = -8
Write numbers in each box to correctly complete the square In Step 3.
Step 3: x^2+ 16x +

Step 3: x² + 6x + 64 = -8 + 64

Step-by-step explanation:

At step 3 add 64 on both sides to complete the square.

so x² + 6x = -8

becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.

continuing from there, we get

x² + 6x + 64 = 56

we then use a² + 2ab + b² = (a + b)² on the left side to get

(x + 8)² = 56 (solve the equation for x)

by taking the root on both sides

√(x + 8)² = √56

x + 8 = +- 2√14 (separate the equations

x + 8 = 2√14

x + 8 = -2√14

Solving for x

x = 2√14 - 8 or x = -2√14 - 8

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

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.