Answer:
x=5
Step-by-step explanation:
Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
Answer:
D) 12x² - 20x + 7
Step-by-step explanation:
Use FOIL when multiplying 2 binomials...
FOIL is Firsts, Outsides, Insides, Lasts. It's the order in which you multiply the numbers in the binomials...
(2x - 1)(6x - 7)
Firsts: (2x)(6x) = 12x²
Outsides: (2x)(-7) = -14x
Insides: (-1)(6x) = -6x
Lasts: (-1)(-7) = 7
Now add them up...
12x² - 14x - 6x + 7
12x² - 20x + 7
Answer:
(-20,0) (0,-4)
Step-by-step explanation:
Answer: x = -2
Step-by-step explanation: vertical lines are the x axis
