Prime factors of 42: 2x7x3
prime factors of 126: 2x3x3x7
prime factors of 210: 7x3x5x2
now we multiply all the factors that they all have in common: 2x3x7 which is 42. So the highest common factor is 42
Answer:
Yes
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Answer:x = 2
Step-by-step explanation:
Simplifying
3(x + -4) = 2(-2x + 1)
Reorder the terms:
3(-4 + x) = 2(-2x + 1)
(-4 * 3 + x * 3) = 2(-2x + 1)
(-12 + 3x) = 2(-2x + 1)
Reorder the terms:
-12 + 3x = 2(1 + -2x)
-12 + 3x = (1 * 2 + -2x * 2)
-12 + 3x = (2 + -4x)
Solving
-12 + 3x = 2 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-12 + 3x + 4x = 2 + -4x + 4x
Combine like terms: 3x + 4x = 7x
-12 + 7x = 2 + -4x + 4x
Combine like terms: -4x + 4x = 0
-12 + 7x = 2 + 0
-12 + 7x = 2
Add '12' to each side of the equation.
-12 + 12 + 7x = 2 + 12
Combine like terms: -12 + 12 = 0
0 + 7x = 2 + 12
7x = 2 + 12
Combine like terms: 2 + 12 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
To solve for the X intercepts make y equal to 0. Then factor the quadratic. It would become (X-7)(X-3)=0. Solve for x in each case and the X intercepts are (3,0) and (7,0). The y intercept can be determined by making the X variables in the above quadratic equal to 0. The y intercept is 21, or (0,21).
