Answer:
Step-by-step explanation:
24ty-18t+4y-3
Seperate:
(24ty+4y)+(-18t-3)
Factor out:
4y(6t+1)+(-3)(6t+1)
(4y-3)(6t+1)
Answer:
Step-by-step explanation:
a)General least square regression line is ,
Where,a=intercept. b= slope
To get line just find values of a and b.
Use Excel to find values.
First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.
Then for value of a use functufuas ,
=INTERCEPT(A1:A5,B1:B5)
Then hit enter ,therefore a=20.4595
For b use function as. =SLOPE(A1:A5,B1:B5)
Then hit enter.therefore b=0.3738
Therefore equation of least square regression line is
Y=20.4595+(0.3738*x)
b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.
Y=20.4595+(0.3738+252)
Y=20.4595+94.1976
Y=114.6571
Conclusion: height will be 114.6571 inches when age change by 1 unit.
Answer:
1 1/6
Step-by-step explanation:
2 2/3 = 2+2/3
1 1/2 = 1+1/2
So (2 2/3) - (1 1/2)=2+2/3-(1+1/2)=
2+2/3-1-1/2=1+(2/3-1/2)=1+(4-3)/6=1+1/6=
1 1/6
Answer:
Inverse of f exists.
Step-by-step explanation:
From the graph attached,
If we do the horizontal line test for the function graphed,
We find the function as one to one function.
In other words for every input value (x-value) there is a different output value.
Since, for one-to-one functions, inverse of the functions exist.
Therefore, the answer will be,
The inverse of 'f' exists.
Answer:
No solution
Step-by-step explanation:
-3x + 3y = 4
-x + y = 3
<u>Solve the equation for x:</u>
<u>Move the variable to the right side and change its sign</u>
-x + y = 3
-x = 3 - y
<u>Change the signs on both sides of the equation</u>
-x = 3 - y
x = -3 + y
<u>Substitute the given value of x into the equation -3x + 3y = 4</u>
-3x + 3y = 4
x = -3 + y
-3(-3+y)+3y=4
<u>Solve the equation for y</u>
-3(-3+y)+3y=4
y = 0
There is no solution for y.
And since there's no solution for y, the system has no solution.
