Answer:
Step-by-step explanation:
• The shape of the curve is a rose curve.
• The domain are real numbers
• And the range is approximately from -2 to 2
The maximum value of r on the graph is 2
• Yes the graph is continuous and it is bounded above and below
• The graph is symmetrical about the x axis and not about the y axis.
• No asymptotes
Let L = lengthLet W = width Length is 5 yd less than twice the width ==> L = 2*W - 5 Area is 52 yd^2 ==> 52 = L*W Substitute the value for L from the 1st equation into the 2nd equation
52 = (2*W - 5) * W52 = 2*W^2 - 5*W0 = 2*W^2 - 5*W - 52 0 = (2W - 13)*(W + 4) 2W - 13 = 0 or W + 4 = 0W = 13/2 or W = -4 Width cannot be negative so discard W = -4 W = 13/2 ==> L = 2*(13/2) - 5 = 13 - 5 = 8 So the width is 13/2 yards and the length is 8 yards Check: 2*(13/2) - 5 = 13 - 5 = 8 (13/2)*8 = 4*13 = 52 yd^2
Answer:
x = 33
y = 38
z =109
Step-by-step explanation:
We get the values of m as 1 and n as 0.
We are given a function:
f(x) = m / (x - 1) + n
We are also given that:
f (-2) = 1 and f (4) = 3
We have to find the value of m and n.
f (-2) = m (2 - 1) + n
1 = m + n
n = 1 - m
f (4) = m / (4 - 1) + n
3 = 3 m + n
3 = 3 m + 1 - m
3 = 2 m + 1
2 m = 3 - 1
2 m = 2
m = 2 / 2
m = 1
m + n = 1
1 + n = 1
n = 0.
Therefore, we get the values of m as 1 and n as 0.
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