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muminat
3 years ago
12

What is the largest integer n such that (n^2-38) / (n +1) is an integer?

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

a. 36

Step-by-step explanation:

for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.

we check with the options

option a n=36 sutisfies the above condition.

(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36

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2 years ago
HELP! o.o
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Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6
Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in  order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

3 0
2 years ago
Use the graph to determine the domain and range of the relation, and whether the relation is a function.
Westkost [7]

Answer:

A

Step-by-step explanation:

We can use vertical line test to determine if a relation is a function.

<em>If a vertical line passes the graph at any point only once, then the relation is a function, if there is even 1 line that passes the graph at 2 points, then it is NOT a function.</em>

<em />

The domain is the set of allowed x-values of the function. The range is the set of allowed y-values of the function.

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  • As for domain, we see that curve swings from x = -8 to x = 8, so the domain is from -8 to 8.
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Correct answer is A

5 0
3 years ago
This graph represents
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It is C (2, 1) I think it is because they intersect
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