Subtract 7.72 from both sides
x+7.72-7.72=19-7.72
x=11.28
X^2 - 9....factor
= x^2 - 3^2
= (x+3)(x-3)
Answer:
The zeroes would be -3 and a double root at 5.
Step-by-step explanation:
We can find this by first expanding the function.
c(x) = (x + 3)(x - 5)^2
c(x) = (x + 3)(x - 5)(x - 5)
Then we can solve for the zeroes by setting each parenthesis equal to 0 and solving.
x + 3 = 0
x = -3
x - 5 = 0
x = 5
x - 5 = 0
x = 5
Answer:
Step-by-step explanation:
Hello!
Given the variables
X₁: Weight of a safety helmet for racers
X₂: Price of a safety helmet for racers
Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.
a) Scatterplot in attachment.
b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.
c) The estimated regression equation is ^Yi= a + bXi
n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536
Y[bar]= 380.35; X[bar]= 59.29

![a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77](https://tex.z-dn.net/?f=a%3D%20Y%5Bbar%5D-%20bX%5Bbar%5D%3D%20380.35-%28-30.18%29%2A59.29%3D%202169.77)
The estimated regression equation for the price of the helmets as a function of their weight is:
^Yi= 2169.77 -30.18Xi
I hope it helps!
For this case we are going to assume that Nina wrote:
3/4 (1440) + 295.25 + (-33.50).
The expression is correct since we have:
ticket sales were three-fourths as much as yesterday. That means
3/4 (1440)
food sales were down by $ 33.50, that means:
295.25 + (-33.50)
Therefore, today's sales were:
3/4 (1440) + 295.25 + (-33.50).
answer
Nina's expression is correct