Introductory Algebra: 20% converted into a decimal, wouldn't that be 0.2?
2 answers:
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Answer:
Step-by-step explanation:
Let's look at the prime factors of 210.
210 = 2 * 3 * 5 * 7
Since no factor appears more than once, this radical cannot be simplified.
Answer:
a) not proportional
b) proportional; k =
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation .
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is
This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:
and the equation of the line is
Since b=6, the y-intercept of the line is 6.