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Bingel [31]
3 years ago
9

The graph of a quadratic function (a parabola) has an axis of symmetry x = 4, and passes

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

y = (x - 4)^2 + 5.89

Step-by-step explanation:

The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.  

The general vertex equation of a parabola is

y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.

We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:

5 = a(x - 4)^2 + k

Let's assume that a = 1.  Then

5 = (7.3 - 4)^2 + k.

Simplifying, we get

5 = 3.3^2 + k, or 5 = 10.89 + k.  Then k = -5.89, and the equation is then

y = (x - 4)^2 + 5.89

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What's the answer to this?
beks73 [17]

Answer:

<em>Q'</em> = (-4, -2)

<em>R' </em>= (4, -2)

<em>S'</em> = (4, 2)

<em>T'</em> = (-4, 2)

Step-by-step explanation:

First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.

Our initial matrix to multiply:

4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right]

Moved to the origin:

4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right]

Multiplied by four:

\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right]

This gives us the points of

<em>Q'</em> = (-4, -2)

<em>R' </em>= (4, -2)

<em>S'</em> = (4, 2)

<em>T'</em> = (-4, 2)

which are our answers.

3 0
2 years ago
Construct a probability distribution for the data.
lianna [129]

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

5 0
3 years ago
A kangaroo hops 2 kilometers in 3 minutes. At this rate, how long does it take the kangaroo to travel 5 kilometers?
Mandarinka [93]

Answer: 7.5 minutes (7 min 30 sec)

Step-by-step explanation: If it takes it 3 minutes to travel 2 km, it would take it 1.5 minutes to travel 1 km. So, 1.5 * 5 = 7.5, meaning it would take it 7.5 min to travel 5 km.

7 0
3 years ago
Read 2 more answers
12y x6<br> My Teacher told me To answer this and she will give me 30 points
DaniilM [7]

Answer:

its 72y

Step-by-step explanation:

12 *6=72

Add the y = 72y

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3 years ago
(-8+22)-(-7)+(-9)<br> dx
Xelga [282]

Answer: 12 is the answer

Step-by-step explanation: Brainliest please

8 0
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