Answer:
x=20
y=?
Step-by-step explanation:
Answer:
The two equations are y=x+4 and y=2x+5.
Step-by-step explanation:
Given that (-1,3) is solutions of the system of two linear equations.
Let y=mx + c be the generalized equation of line having slope m and y-intercept c.
For different values of m and c, there are corresponding linear equations.
As the lines are passing through the point (-1,3), so, pot x=-1 and y=3 in the generalized equation, we have
All the real values of c and m which satisfy equation (i) are the desired linear equations.
As we required only two linear equations, take any two values of c and m.
For c=4 and m=1 (satisfying equation (i))
and for c=5, m=2
Hence, the two equations are y=x+4 and y=2x+5.
Answer:
$61.92
Step-by-step explanation:
Lets start by applying the sale(discount) on the game. 20% off is synonymous with having 80% of something(the remaining part), so we can multiply 72*.8 in order to get $57.6
Now lets apply sales tax. A simple way to calculate total price when a tax or increase is present is by adding 100% to the % and multiplying. In this case, we would have
Answer:
x=8
Step-by-step explanation:
If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.
If x=16 when y=3/4 we can write their relation as:
x/y = 16/(3/4) = 16*(4/3) = 64/3
So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.
Now we can see what happens to x when y varies. If y=3/8:
x/(3/8) = 64/3
Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.
x/(3/8) * (3/8) = (64/3) * (3/8)
See that we have a 3 multiplying and another dividing, we can eliminate them.
x = 64/8
x = 8
So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.
I think the answer would be 89