1, 1, 1, 1, 4, 7, 7
Median (middle) = 1
Mode (most common) = 1
Range (largest# minus smallest#) = 6
5, 10, 10, 15, 15, 15, 20
Median = 15
Mode = 15
Range = 15
The value of x that will result for the rational expression to be undefined will be the values that will give 0 value for the denominator.
A. 7
<span>2(7)^2 -32 = 66
</span>
<span>B. 4
</span>2(4)^2 -32 = 0 <span>-------> undefined</span>
C. 2
2(2)^2 -32 = -24
<span>D. -2
</span>2(-2)^2 -32 = -24
<span>E. -4
</span>2(-4)^2 -32 = 0 -------> undefined
F. -7
2(-7)^2 -32 = 66
The quadratic formula is x=(-b+-sqrt(b^2-4(a)(c)))/2a
Using the quadratic formula, we get:
x=(-(-8)+-sqrt((-8)^2-4(15)(1)))/2(1)
x=(8+-sqrt(64-60))/2
x=(8+-sqrt(4))/2
x=(8+-2)/2
x=10/2 and x=6/2
x=5 and x=3
We could do it way faster by completing the square:
x^2-8x+15=0
(x-5)(x-3)=0
x=5 and x=3
Hope both methods make sense! BTW, the +- thing means add or subtract
Answer:
Step-by-step explanation: they are lines that form a right angle
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
<em>proprtional</em><em>-</em><em> </em><em>equal</em><em> </em>
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
<em>16</em><em>×</em><em>12</em><em>=</em><em> </em><em>192</em><em> </em>
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
<em>192</em><em>÷</em><em>21</em><em>=</em><em>9.14</em>
