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OLEGan [10]
3 years ago
6

Determine the point of discontinuity if it exists v(x)=x^2-25/2x^2+13x+15

Mathematics
1 answer:
kumpel [21]3 years ago
5 0

Answer:

x=-5 and x=-1.5

Step-by-step explanation:

The given function is

v(x) =  \frac{{x}^{2}  - 25}{2 {x}^{2}  + 13x + 15}

The points of discontinuity occurs at where the denominator is zero.

2 {x}^{2}  + 13x + 15= 0

We solve by factoring.

We first split the middle term:

2 {x}^{2}  + 3x + 10x + 15= 0

We factor by grouping:

x(2x  + 3) + 5(2x + 3)= 0

(x + 5)(2x + 3) = 0

The points of discontinuity occur at x=-5, and x=-1.5

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When given a function in standard form,how can you determine if the parabola has aminimum or maximum value
andrezito [222]

Answer:

It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point

Step-by-step explanation:

The function that describes a parabola is a quadratic function

The standard form of a quadratic function is given as follows;

f(x) = a·(x - h)² + k, where "a" ≠ 0

When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"

When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve

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3 0
3 years ago
How many posts does it take to support a fence around a square field measuring 100 feet on a side if posts are placed every 10 f
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Step-by-step explanation:

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Which equation is graphed in the figure?
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Answer: Option B.


Step-by-step explanation:

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2. Therefore, you must solve for y to write the equation in that form:

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3. As you can see, the y-intercept is b=4, therefor, the equation of the option B is the equation graphed in the figure.


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3 years ago
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