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nevsk [136]
3 years ago
5

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

See attached picture

Step-by-step explanation:

The function f(x) = -x^2-4x+2 has the following characteristics:

• Not factorable

• Zeros/roots: x= -2 +/- \sqrt {6}

• Negative leading coefficient

•       Has a vertex at (-2,6)

• Its graph is a parabola and upside down U shape.

• It has a maximum value of 6.


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Toyota campy sold 20,600 in 2008. percent change is 1.2%. how many sold in 2009?
Artyom0805 [142]
So 20600=100%
in 2009=1.2% change from 100%

not specific whether percent change is up or down so solve fo r1.2%
d
find 1.2% of 100
percent means parts out of 1001.2%=1.2/100=0.12/10=0.012/1=0.012

'of' means multiply
20600 times 0.012=276.2

the change is 276.2

20600-276.2=20352.8
20600+276.2=20847.2
you must round down since you can't sell 0.2 or 0.8 of a car

the sold either 20,352 or 20,847 cars in 2009

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3 years ago
Which of these expressions is equivalent to (12/5) ?
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D is the answer for equivalent
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3 years ago
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Dilate the trapezoid using center (-3,4) and scale factor 1/2.
pochemuha

The coordinates of the vertices of the image of the trapezoid are given as;

A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) , D'(x, y) = (- 7 / 2, 5 / 2).

<h3>How to find the image of a trapezoid by dilation?</h3>

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described :

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where O(x, y) - Center of dilation

k - Scale factor

And P(x, y) - Coordinates of the original point, P'(x, y) - Coordinates of the resulting point.

Since k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4),

Therefore, the coordinates of the vertices of the image are:

Point A'

A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2)  (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B';

B'(x, y) = O(x, y) + k [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2)  (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C';

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2)  [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k  [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

To learn more on dilations:

brainly.com/question/13176891

#SPJ1

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The table below represents...
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The equation for d represents the table
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Choose the set of measurements listed in order from greatest to least. A. 20 kl, 20 L, 20 ml B. 20 L, 20 ml, 20 kl C. 20 ml, 20
Alex17521 [72]

Answer: A

Step-by-step explanation:

First, we know that each set has 20 kL, 20 L, and 20 ml. To know if they are in the order from greatest to least, we should make sure all three have the same units. Once we do, we can put them in order.

20 kL=20000 L

20 mL=0.02 L

20 L=20L

Now that we have made sure the units are all the same, we know that 20 kL is the greatest and 20 mL is the smallest. The final order is 20 kL, 20 L, 20 mL.

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3 years ago
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