Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
Answer:
The vertex form of a quadratic function:
(h,k) - the coordinates of the vertex
If a>0, then the parabola opens upwards, so the vertex is the minimum of the function.
If a<0, then the parabola opens downwards, so the vertex is the maximum of the function.
3/3-1/3= 2/3 of the glasses
Answer: y = 2x - 13
Step-by-step explanation: Start with the formula y=mx+b. Remember that the slope of the parallel line, m, is the same. Now you have y = 2x + b. You can find b, the y intercept, knowing that the line passes through the point given: -1 = (2) * 6 + b. So now we see that b = -13.
4 I’m not that sure though