In a surey of 375 dog and cat owners there were 215 dog owners and 193 cat owners. how many in the survey own a dog
2 answers:
First, draw venn diagram and determine how many people own both cat and dog. See image attached.
x represents the number of people own both cat and dog
dog only owner + cat only owner + both cat and dog owner = 375
215 - x + 193 - x + x = 375
408 - x = 375
x = 408 - 375
x = 33
The number of people own both cat and dog is 33
Second, find the number of people own dog only
dog only = 215 - 33
dog only = 182
The number of people own dog only is 182
x represents the number of people own both cat and dog
dog only owner + cat only owner + both cat and dog owner = 375
215 - x + 193 - x + x = 375
408 - x = 375
x = 408 - 375
x = 33
The number of people own both cat and dog is 33
Second, find the number of people own dog only
dog only = 215 - 33
dog only = 182
The number of people own dog only is 182
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Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by
x coordinate =
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)