Hey there!!
Given equation :
... 2 ( x - ( 3 + 2x ) + 9 ) = 3x - 8
Using the distributive property.
... 2 ( x - 3 - 2x + 9 ) = 3x - 8
... 2 ( -x + 6 ) = 3x - 8
Using the distributive property.
... -2x + 12 = 3x - 8
Subtracting 12 on both sides.
... -2x = 3x - 8 - 12
... -2x = 3x - 20
Subtracting 3x on both sides.
... -2x - 3x = -20
... -5x = -20
Dividing by -5 on both sides.
... x = -20 / -5
... x = 4
<em>Hence, the answer is 4. </em>
Hope my answer helps!
Order of Operation is commonly referred to as PEMDAS, an acronym for "Please excuse my dear aunt Sally," which references the order in which operations should be calculated when solving a math problem.
P = parentheses
E = exponent
M = multiply
D = divide
A = add
S = subtract
So you don't always have all of these components, but you consider the ones present in the problem in front of you. If there is no multiplication, but there is division and a set of parentheses, then you FIRST solve what's inside the parentheses, then you divide. If you have some examples, I'll show you.
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)
Y=t(15)+4 Is what I think this word problem would be written in Slope-intercept form.
