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3 years ago

Q#2 Graph the relation in the table.Then use the vertical-line test.Is the relation a function

Mathematics

2 answers:

34kurt3 years ago

6 0

For this case we have the following table:
x y
-1 3
1 -1
2 2
1 3
We observe that the graph shown in the question shows a scattering of points that do not obey any behavior of known function.
Therefore, the table does not represent any function.
Answer:
The table does not represent a function.

tresset_1 [31]3 years ago

5 0

The graph of the relation between x and y is as shown in attached figure

By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.

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Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

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3 years ago

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Ede4ka [16]

$\mathbb P(286$
$\mathbb P(286$

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$\mathbb P(-2$
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3 years ago

The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba

siniylev [52]

The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

$x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17$

The length of the base of a parallelogram must be a positive number, so x=12.

$\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17$

The base is 12 feet long, the height is 17 feet long.

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3 years ago

Write the explicit formula that represents the geometric sequence-2, 8, -32, 128

maks197457 [2]

Well, since we know is a geometric sequence, we can always get the common ratio of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8 -32/8 = -4 <-- our common ratio

the first term is -2

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
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r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}$

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3 years ago