Answer:
y = 4.125x + 496.25
Step-by-step explanation:
Set the data up as points. Then deal with the points.
Givens
(30,620)
(70,785)
y2 = 785
y1 = 620
x2 = 70
x1 = 30
Formula
Slope = (y2 - y1) / (x2 - x1)
Solution
Slope = (785 - 620)/(70 - 30)
Slope = 165 / 40
Slope = 4.125
===================
Now you need the y intercept. Either one of the two given points will give you that.
y = 620
x = 30
m = 4.125
y = mx + b
620 = 4.125*30 + b
620 = 123.75 + b
620 - 123.75 + b
b = 496.25
So you just need to use the crocodile signs < or >
As j is less than 113 we put j on the smaller side and 113 on the bigger side to make:
j<113
My answer-
Simplifying
5x + -14 = 8x + 4 Reorder the terms:
-14 + 5x = 8x + 4
Reorder the terms:
-14 + 5x = 4 + 8x Solving
-14 + 5x = 4 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x
-14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0
-14 + -3x = 4 + 0
-14 + -3x = 4
Add '14' to each side of the equation.
-14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0
0 + -3x = 4 + 14
-3x = 4 + 14 Combine like terms: 4 + 14 = 18
-3x = 18 <span>
Divide each side by '-3'.
x = -6
Simplifying
x = -6
If you need anything else on brainly let me know :)</span>
Answer:
Step-by-step explanation:
Begin the solution by squaring both sides of the given equation. We get:
(3x - 4)^2 = 2x^2 - 2x + 2, or:
9x^2 - 24x + 16 = 2x ^2 - 2x + 2
Combining like terms results in:
7x^2 - 22x + 14 = 0
and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92
According to the quadratic formula, the solutions are
-b ± √discriminant -(-22) ± √92 22 ± √92
x = ------------------------------- = ----------------------- = ------------------------
2a 14 14
The product to your question is 2a+b