Answer:
y = -1/5x +32/5
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b
we know m = -1/5
y = -1/5x+b
We know a x and y on the line
7 = -1/5(-3) +b
7 = 3/5 +b
Subtract 3/5 from each side
35/5 -3/5 = b
32/5 =b
So the equation is
y = -1/5x +32/5
Answer:
A familiar situation is: cost of books you pay for versus the quantity of books bought.
Cost of books ($) and quantity of books are directly proportionally related in the situation.
The graph will look like the graph in the attachment below.
A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.
A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.
That is:
Number of books = independent variable
Cost ($) = dependent variable
A change in the number of books will cause a change in the cost you will pay for buying books.
This shows a direct proportional relationship between the two quantities.
On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.
Therefore:
A familiar situation is: cost of books you pay for versus the quantity of books bought.
Cost of books ($) and quantity of books are directly proportionally related in the situation.
Step-by-step explanation:
hope this helps cutey ;)
Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)
So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)
It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A.
So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5
The greatest value of sin(A)*cos(A) is 1/2 = 0.5
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
