<span>Simplifying
2x + 6 = 4x + -2
Reorder the terms:
6 + 2x = 4x + -2
Reorder the terms:
6 + 2x = -2 + 4x
Solving
6 + 2x = -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.
6 + 2x + -4x = -2 + 4x + -4x
Combine like terms: 2x + -4x = -2x
6 + -2x = -2 + 4x + -4x
Combine like terms: 4x + -4x = 0
6 + -2x = -2 + 0
6 + -2x = -2
Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6
Combine like terms: -2 + -6 = -8
-2x = -8
Divide each side by '-2'.
x = 4
Simplifying
x = 4</span>
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
1) y= 2x+ 5
2) -6x + 2y = 8; y = 3x;
because when u put the first equation in slope-intercept form the slope will be 3x. Notice parallel line are always the same slope.
3) perpendicular of -4x is 1/4x
y = 1/4x - 3
4. first u find the slope
slope is: -3/2
new find the slope-intercept form
by using the formula y-y1 = m (x - x1)
y = -3/2x + 5
5
9514 1404 393
Answer:
(3) 35·cos(57°)
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
For the given triangle, this is ...
cos(57°) = QR/QS
Multiplying by QS gives ...
QS·cos(57°) = QR
Filling in the value of QS, we have ...
QR = 35·cos(57°)
Answer:
$ 558k
Step-by-step explanation:
the condition 'the house was sold for 124% of its purchase price' means Initial_price*1.24, where Initial_price is $450k:
$450000*1.24=$558000.