Answer:
4 16 2.000
5 25 2.236
6 36 2.449
7 49 2.646
Step-by-step explanation:
-x + 5y = 8
multiply this equation by 3
-3x + 15y = 24
now add it to the other equation ( elimination)
-3x + 15y = 24
3x + 7y = -2
-----------------------
0x + 22 y = 22
divide each side by 22
y =1
substitute into -x + 5y =8 to find x
-x + 5(1) = 8
-x + 5 = 8
-x =3
divide by -1
x =-3
Answer (-3,1)
Choice A
17) replace the given number for "x" and evaluate
a) x² + 2x + 1 ; when x = 3
3² + 2(3) + 1
= 9 + 6 + 1
= 16
b) x² + 2x + 1 ; when x = -4
(-4)² + 2(-4) + 1
= 16 - 8 + 1
= 9
c) x² + 2x + 1 ; when x = 3
(-22.872)² + 2(-22.872) + 1
= 523.128384 - 45.744 + 1
= 478.384384
18) The dependent variable is affected by the other variable and is the "output" The independent variable is the input.
a) y = 3x - 5; "x" is the independent variable
b) the time of day is the independent variable (you would input the time of day to calculate the temperature).
19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.
Option b: 10 in, 18.5 in, 31.5 in.
Explanation:
The three sides of a triangle are 
and 
The perimeter of the triangle is 
.
Since, Perimeter = all sides of the triangle
Let us add all the three sides to determine the length of each side.
Substituting the value of Perimeter and simplifying, we get,
Substituting 
in the three sides of the triangle and , we get,
Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.
