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elixir [45]
2 years ago
8

Consider the quadratic function y = 0.3 (x-4)2 - 2.5 Determine the axis of symmetry, x =

Mathematics
1 answer:
fomenos2 years ago
5 0

Answer:

x=4

Step-by-step explanation:

We have the quadratic function:

\displaystyle y=0.3(x-4)^2-2.5

And we want to determine its axis of symmetry.

Notice that this is in vertex form:

y=a(x-h)^2+k

Where (<em>h, k</em>) is the vertex of the parabola.

From our function, we can see that <em>h</em> = 4 and <em>k</em> = -2.5. Hence, our vertex is the point (4, -2.5).

The axis of symmetry is equivalent to the <em>x-</em>coordinate of the vertex.

The <em>x-</em>coordinate of the vertex is 4.

Therefore, the axis of symmetry is <em>x</em> = 4.

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posledela

Answer:  a= -3,0 and b= 0,18 c= -1,0 d= 3,0

Step-by-step explanation:

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8 0
3 years ago
given line passes through the points (-4, -3) and( 4, 1) what is the equation in point slope form of the line that's perpendicul
Diano4ka-milaya [45]

Answer:

y= -2x-5

Step-by-step explanation:

First find the gradient of the first line

m =  \frac{y2 - y1}{x2 - x1}

m=

\frac{1 -  - 3}{4 -  - 4}

m=

\frac{4}{8}

m=1/2

From this we can find the gradient of the perpendicular line, or the normal.

m1 × m2 = -1

Replace m1 with 1/2

1/2 × m2 = -1

m2= -2

Substitute values into

y-y1=m (x-x1)

y-3=-2 (x+4)

y-3=-2x -8

y=-2x-5

6 0
3 years ago
Read 2 more answers
Suhal buys a total of 24 books from a charity shop. Hardbacks cost £2 and paperbacks cost £1.50. He spends £43.50. Let x represe
laiz [17]
Hello, sorry if this seems a bit odd, it’s a common method though. Hope you can understand this. Thanks

4 0
2 years ago
Explain how to prepare, use and review a budget.
stich3 [128]

Answer:

Use a spreadsheet.

Step-by-step explanation:

If you mean a household budget you could use a spreadsheet.

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7 0
3 years ago
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A cube has sides of length 2 meters. Explain what happens to the volume of the cube if the length of the sides is doubled.
ohaa [14]
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3 years ago
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