Answer:
x = -1
Step-by-step explanation:
6 − 4x = 6x − 8x + 8
Combine 6x and −8x to get −2x.
6 − 4x = −2x + 8
Add 2x to both sides.
6 − 4x + 2x = 8
Combine −4x and 2x to get −2x.
6 − 2x = 8
Subtract 6 from both sides.
−2x = 8 − 6
Subtract 6 from 8 to get 2.
−2x = 2
Divide both sides by −2.
Divide 2 by −2 to get −1.
Hope this helps and have a great day! =D
Answer:
y = 3 - x + x²
Step-by-step explanation:
Given the data:
x. y
-5 33
-2 9
-1 5
0 3
3 9
4 15
6 33
General formof a quadratic model:
y = A + Bx + Cx²
Using the quadratic regression model solver for the data Given:
The quadratic model fit obtained is :
y = 3 - x + x²
Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
For this case we have that by definition, the GCF of two numbers is the biggest common factor that divides both numbers without leaving residue. We find the factors:
26: 1,2,13,26
78: 1,2,3,6,13,26
Thus, the GCF of both numbers is 26
Answer:
26
Option C
