Answer:
x=0 x = 1/6
Step-by-step explanation:
5x -30x^2 = 0
Factor out the greatest common factor which is 5x
5x(1 -6x) =0
Use the zero product property
5x =0 and 1-6x =0
x =0 -6x = -1
x = -1/-6
x = 1/6
2/3x=10
x=10÷2/3
x=10×3/2
x=5×3
x=15
Answer:
x=-8
Step-by-step explanation:

on squaring both sides

either x-2=0 or x+8=0
either x=2 or x=-8
Putting x=2 in original equation, we get

7=7 hence, it is not an extraneous solution
Putting x=-8 in original equation

i.e. 3=-3
Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)
If you would like to know what is the sum of 667 and 23, you can calculate this using the following steps:
the sum of 667 and 23:
667 + 23 = 690
The correct result would be B. 690.
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Years of experience (X) :
1
3
3
5
7
8
10
10
12
12
Annual sales (Y) :
85
97
95
97
105
106
122
120
113
134
The estimated regression equation obtained is :
y = b0 + b1x
b0 = 82.82967
b1 = 3.46061
ŷ = 3.46061X + 82.82967
The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)
The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).
The Coefficient of determination gives the proportion of explained variance.
About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.
Using the regression equation :
ŷ = 3.46061X + 82.82967
Years of experience, x = 8
ŷ = 3.46061(8) + 82.82967 = 110.514
111 = (to the nearest whole number)