Start by adding 34 to both sides so that the equation becomes -7x^2 + 3x + 6 = 0. To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac)] /(2a)
x = [-3 ± √((3)^2 - 4(-7)(6)) ] / ( 2(-7) )
x = [-3 ± √(9 - (-168) ) ] / ( -14 )
x = [-3 ± √(177) ] / ( -14)
x = [-3 ± sqrt(177) ] / ( -14 )
x = 3/14 ± -sqrt(177)/14
The answers are 3/14 + sqrt(177)/14 and 3/14 - sqrt(177)/14.
The unit rate meant the slope, which is represented by m in y=mx+b
First we must isolate the y by dividing both sides by -1 to get:
y=-x/7 or y=(-1/7)x, so the the unit rate is -1/7 or B
Hope this helps :)
Answer:
a) 0.92; b) 84%
Step-by-step explanation:
First we enter the data into a graphing calculator. Use the values for X, The number of tourists, in the first list and the values for Y, the number of riders, in the second list.
Bring up the scatter plot and then run the linear regression. We get the equation
y = 1.59x + 5.06.
For part a,
The correlation coefficient, r, is 0.92. This means the equation is a good fit for the data.
For part b,
The coefficient of determination, r², tells us what percentage of variation in the dependent variable, y, is explained by the independent variable, x. This value is 0.84, which is 84%.
This can be solved by the distance formula.
If the center of the circle is at (h,k)
r² = (h - 0)² + (k - 0)²
r² = (h - 6)² + (k - 0)²
r² = (h - 6)² + (k - 4)²
Equating the equations
h² + k² = (h - 6)² + k²
h = 3
(h - 6)² + k² = (h - 6)² + (k - 4)²
k = 2
Therefore, the center of the circle is at (3,2).
18.81 divide by 9 multiply by 2 it will be $4.18