Answer:
-2.25
Step-by-step explanation:
9(1-x) = 27Y
9-9x =27y
-9x -27y = -9 multiply all terms by -1
9x +27y =9 equation (1)
x-y= -11/2 equation (2)
by solving 2 equations
x= -3.875
y= 1.625
∴ x+ y = 1.625 +(-3.875) = -2.25
Answer:
y ≥ -2x + 2.5
Step-by-step explanation:
It's kind of hard to tell because no points are given on the graph, but we can first find the b value of 2.5 in the equation y = mx +b as it is the y-intercept.
Using that value, we can also recognize that at one, it looks like the y-value is .5. using our slope formula (change in y / change in x), we can plug in the two points of (0, 2.5) and (1, 0.5) to get a slope of -2.
Now that we have our equation, we can make it an inequality!
Since the graph is shaded upwards, we know it is going to be a greater than symbol, and since the line itself solid and not dotted, we know that the points on the line are also solutions, meaning that it is also equal to the line
Hence, we get the ≥ sign.
Putting it all together, we get our final equation of y ≥ -2x + 2.5 ! :))
The 50th percentile is the median so the z score will be 0
Answer: A golfer finds himself in two different situations on different holes. On the second hole he is 120 m from the green and wants to hit the ball 90 m
Step-by-step explanation:
Solution:
Variables used = x and y
In the kite (figure provided), there are four sides in which two are equal and other two are equal.
Let the longer two sides be a and b & smaller two sides be c and d.
a=b and c=d
Equation for longer two sides which are equal:
2x+5 and x+12
Using above two equations, we find the value of x.
By equating,
2x+5 = x+12
2x-x = 12-5
x = 7
Now equation for smaller two sides are:
y-4 and x+5
x = 7
so, x+5 = 7+5 = 12
Now we need to find value of y. We know c=d (both smaller sides are equal), therefore, if one side is 12 then other should be 12 as well.
12 = y-4
y = 16
Answer: x = 7 and y = 16