Answer:
y = (1/2)(x + 4)(x + 1)(x - 3)
Step-by-step explanation:
Since this graph begins in Quadrant III and continues growing in Quadrant I, and has three roots/zeros, we know immediately that it's a cubing function and can confidently write out
y = d(x - a)(x - b)(x - c) as one general form of the cubing function.
In this particular case we have:
y = d(x + 4)(x + 1)(x - 3) (where the '4' comes from the x-intercept (-4, 0) )
From the graph we know that y = -6 when x = 0, and therefore:
-6 = d(0 + 4)(0 + 1)(0 - 3), or -6 = d(-12), leading to d = 1/2
Then our tentative equation (above) becomes y = (1/2)(x + 4)(x + 1)(x - 3)
Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
Angle 1: 50
angle 2: 130
angle 3: 50
angle 4: 130
angle 5: 40
angle 6: 140
angle 7: 90
angle 8: 140
Answer:
8)
Step-by-step explanation:
d is the correct answer
sorry if its incorrect
I try by best
Answer:
<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>
Step-by-step explanation:
