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gregori [183]
3 years ago
14

Play with the interactives to view the line graphs of various equations. Use positive and negative values for the slope, or m. T

hen explain in your journal how these slopes changed the behavior of the graph.
Basically can someone explain how slopes change the behavior of a graph when changed?
Mathematics
1 answer:
grandymaker [24]3 years ago
4 0
The higher the slope closer it is to being vertical. The lower the slope the closer it is to being horizontal.If the slope is positive Y increases as X increases if the slope is negative Y decreases as X increases.
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Bailey will have 1103 jelly beans after Andrew gave him 88
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The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range
forsale [732]

Answer:

We can not see the graph, but that does not matter.

For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.

First, for the domain, we start assuming that the domain is the set of all real numbers.

Then we look at our function, there is a point that causes a problem?

(a problem can be a zero in a denominator, for example)

Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.

For the range we first need to find the minimum (or maximum value) of f(x).

Here we know that the vertex is (1, - 3)

If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3

And the arms go upwards infinitely, so there is no upper limit.

Then the range is the set of all numbers such that:

-3 ≤ y

Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3

And with similar thinking than in the above case, we can find that the range is:

R:  y ≤ -3.

6 0
3 years ago
3 more than the quotient of a number and 8 is 27.
worty [1.4K]
(x/8) + 3 = 27 <===ur equation
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3 years ago
An angle that measures 82° is bisected. What is the measure of each resulting angle?
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Answer and Explanation:

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Prolog expressions are containing truth-functional symbols, which have the same intervention as in predicate calculus.

For example:  

English Predicate calculus prolog

and ^ ,

or v ;

By using information, given in the question,

We can make prolog:

Grandfather(X, Y)  :-mother(M,Y), father(X,M); father (F, Y), father(X,F)

Prolog (:- ) means define,

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And

Prolog (;) represent a disjunction

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