Answer:
The correct option is B.
Step-by-step explanation:
It is given that there is a strong, negative, linear relationship between x and y. where, x is the number of consecutive hours a worker has been assembling chainsaws and y is the number of chainsaws he can produce in an hour.
He finds that 70%of the variation in chainsaws produced per hour can be explained by the regression of y on x.
The slope is -0.7, therefore option B is correct.
I divided 50 miles by 2 = 25 miles (walked) 25 miles (horseback)
I divided 25 by 3 = 8.33
I divided 25 by 9 = 3
Added together = 8.33 + 3 = 11.33
So time to complete the journey 11.33 hour
D) 1•x=5, 1•5=5 8•5=40, the answer is 40/5 CDs
E) 3/3=1, 26.25/3= 8.75. The answer is 1/8.75
F) 10/10=1, 120/10= 12. The answer is 1/12
G) 2•x=12, 2•6=12, 120•6= 720. The answer is 12/720
Hopefully this helped
Answer: Choice A
y = -3(x+2)^2 + 10
=================================================
Work Shown:
y = -3x^2-12x-2 is in the form y = ax^2+bx+c with
a = -3
b = -12
c = -2
The x coordinate of the vertex is
h = -b/(2a)
h = -(-12)/(2*(-3))
h = 12/(-6)
h = -2
We'll plug this into the original equation to find the corresponding y coordinate of the vertex.
y = -3x^2-12x-2
y = -3(-2)^2-12(-2)-2
y = 10
So k = 10 is the y coordinate of the vertex.
Overall, the vertex is (h,k) = (-2,10)
Meaning that we go from this general vertex form
y = a(x-h)^2 + k
to this
y = -3(x - (-2))^2 + 10
y = -3(x+2)^2 + 10
Since we are only dealing with integers, we do not need to worry about decimals. Therefore, finding the exact values of sqrt(19) and sqrt(77) is not important. We can just estimate.
19 is between 16 and 25 (which are 4^2 and 5^2), so the square root of 18 is some number between 4 and 5.
77 is between 64 and 81 (which are 8^2 and 9^2), so the square root of 77 is some number between 8 and 9.
So the integers (whole numbers) that are between our two sqaure roots are 5, 6, 7, and 8.
Add them up and we have our answer.
5+6+7+8 = 26
