PEMDAS
parentheses, exponent, multiplication/division, addition/subtraction
first, start with what is inside the parentheses that is solvable.
5(6) - (x-3) = -4(4x+5) + 13
multiply what you can
30 - (x-3) = -16x - 20 + 13
simplify
30 - (x-3) = -16x - 7
subtract 30 on both sides
- (x-3) = -16x - 37
let’s separate -(x-3).
-x - 3 = -16x - 37
add 16x to both sides
15x - 3 = -37
add 3 to both sides
15x = -34
x = -34/15 or -2.2667
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➷ base x height / 2 = area
6 x 7 / 2 = 21
answer is 21 units
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Charge of the electrons. the electric current is produced when electron move from one position to another position.
The distributive property is when the coefficient in front of the parentheses is applied to both terms inside.
a. distribute the 6 to make 6xa+6x5. simplify to make 6a+30
b. distribute the 12 to make 12x4+12x3a. simplify to make 48+36a
c. distribute the c to make (1/2)xb-(1/2)x12. simplify to make (b/2)-6
Answer:
B) f(x) = -3/5x +5
Step-by-step explanation:
There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.
The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.
The slope, the change in y divided by the change in x for two points, is ...
... (-1 -2)/(10 -5) = -3/5
This is the slope and the coefficient of x in the linear equation.
Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:
... y = mx + b
... y = (-3/5)x + 5
