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n200080 [17]
2 years ago
12

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
shepuryov [24]2 years ago
7 0

The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².

<h3>How to illustrate the graph?</h3>

The vertex of this parabola is (-1, 8).  It opens downward, so the x² term has a negative coefficient.  The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).

Through the vertex form of the equation of a parabola we get:

y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².

Find coefficient a by substituting the coordinates (-3, 0) in this equation:

0 - 8 = a(-3 + 1)^2, or

-8 = a(-2)² or a = -2

The desired equation is y - 8 = -2(x + 1)^2

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

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Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the
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688,747,536 ways in which the people can take the seats.

<h3></h3><h3>How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>

There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.

When the whistle blows, each person needs to change to an orthogonally adjacent seat.

(This means that the person can go to the seat in front, or the seats in the sides).

This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.

Now, if we take the options that each seat has, and we take the product, we will get:

P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.

If you want to learn more about combinations:

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5 0
2 years ago
A right circular cone is intersected by a plane that passes through the cone's
ICE Princess25 [194]

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A a pair of intersecting lines

Step-by-step explanation:

i got it right on the test bub

3 0
2 years ago
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0.113,1.001,1.101 This is the right answer
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X-Axis
When a figure flips over the X-axis, the X coordinate stays the same while the Y-coordinate’s sign is flipped.

Y- axis

When a figure is flipped over the Y- axis the Y coordinate stays the same while the X axis coordinate’s sign is flipped

Example- (x,y)
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(2,5) —> (2,-5)

Y axis flipped
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