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DiKsa [7]
3 years ago
13

What is the vertex of a parabola defined by the equation x = 5y2?

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Find the critical points of f(y):Compute the critical points of -5 y^2
To find all critical points, first compute f'(y):( d)/( dy)(-5 y^2) = -10 y:f'(y) = -10 y
Solving -10 y = 0 yields y = 0:y = 0
f'(y) exists everywhere:-10 y exists everywhere
The only critical point of -5 y^2 is at y = 0:y = 0
The domain of -5 y^2 is R:The endpoints of R are y = -∞ and ∞
Evaluate -5 y^2 at y = -∞, 0 and ∞:The open endpoints of the domain are marked in grayy | f(y)-∞ | -∞0 | 0∞ | -∞
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:The open endpoints of the domain are marked in grayy | f(y) | extrema type-∞ | -∞ | global min0 | 0 | global max∞ | -∞ | global min
Remove the points y = -∞ and ∞ from the tableThese cannot be global extrema, as the value of f(y) here is never achieved:y | f(y) | extrema type0 | 0 | global max
f(y) = -5 y^2 has one global maximum:Answer: f(y) has a global maximum at y = 0

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5 0
2 years ago
memo is one year older than twice tecatito's age if the sum of their ages is 52 years, how old are both of them​
ch4aika [34]

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Hope this helps!

4 0
3 years ago
Which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9
rusak2 [61]
Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form ax^2+bx+c. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
x^2+2x-8=(x+4)(x-2)
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Now we can rewrite our function:
y= \frac{x^2+2x-8}{x^2-9} = \frac{(x+4)(x-2)}{(x+3)(x-3)}

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at x=3 and x-3

We can conclude that the graphic of our rational function is: 

7 0
3 years ago
A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is
DedPeter [7]

Answer:

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3 0
2 years ago
The Smith Family made an $800 down payment and pays $75 per month for new furniture. At the same time the Cooper family made a $
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75m + 800 = 95m + 500
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