Answer:
Because 3(5x) is the same as 3 *5 * x
Step-by-step explanation:
When a number is next to another in parantheses, it signifies multiplication. In this case, we already have 5 and x grouped together by a multiplication sign, so the entire thing is 5 * x. The statement below is key
Distribution in multiplication is only possible if a variable is grouped to another real number by a plus or minus sign.
So in this case, we have 3 * 5 * x, which is 15x. However, if we had 3(5 + x), we would have 15 (3 * 5) + 3x (3 * x).
Hopefully that makes sense!
The Equation of a Line
The slope-intercept form of a line can be written as:
y = mx + b
Where m is the slope of the graph of the line and b is the y-intercept.
In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:
0 = m(0) + b
Solving for b:
b = 0.
Thus, the equation of the line reduces to:
y = mx
We only need to find the value of the slope.
That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.
Solving for y:
The slope of the second line is -4/3.
We must recall that if two lines of slopes m1 and m2 are perpendicular, then:
Substituting the value of m1 and solving for m2:
The slope of our line is 3/4 and the required equation is:
From this last equation, we need to find the general form of the line.
Multiply both sides of the equation by 4:
4y = 3x
Subtract 3x on both sides:
4y - 3x = 0
Reorder:
-3x + 4y = 0
First, he paid 5/6 of the sticker price. He paid $29725 before the tax.
Then he paid a 7.25% sales tax. This can be found by multiplying $29725 by 1.0725
The final answer is C: $31,880.06
To test whether it's a factor:
-- Divide the big number by it. 81 / 6 = 13.5 .
-- If the quotient is a whole number,
then the small number is a factor
of the big number. 13.5 is not a whole number.
-- If the quotient is not a whole number,
then the small number is NOT a factor
of the big number. 6 is NOT a factor of 81 .
Y=mx+b
14=1(-4)+18
This could be an example of an equation in slope intersect form, where y=14 and x=-4
