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Tatiana [17]
3 years ago
5

What is the best name for the figure with vertices at the following coordinates? (0,0), (-1, 1), (6, 1), and (2, 0)

Mathematics
1 answer:
algol [13]3 years ago
4 0
We are given with the following vertices:
A (0,0)
B (-1,1)
C(6,1)
D (2.0)

Next is to plot the vertices in the Cartesian plane so that we can identify the figure. See attached image.

The identified shape is a "Parallelogram".

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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

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If we recreated the scene from Fast &amp; Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft
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Step-by-step explanation:

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kodGreya [7K]

y = (2/3)x + 6

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1<br> 1 point<br> Find the difference:<br> 5.2 -0.12 = type your answer...
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And the answer is......

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