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yarga [219]
3 years ago
12

If f(x) = 2x2 – 8x + 9, which statement regarding the vertex form of f(x) is true?

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

A. In vertex form, f(x) = 2(x - 2)² +1 and therefore has a minimum value of 1.

Step-by-step explanation:

Function is given as;

f(x) = 2x² - 8x + 9

From quadratic formula, we know that;

a = 2

b = -8

c = 9

Now, x-coordinate of the vertex is;

x = -b/2a

x = -(-8)/2(2)

x = 2

Let's find the y-coordinate;

f(2) = 2(2)² - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

Thus, y-coordinate = 1

This means the vertex coordinate is (2, 1)

Now, vertex form of a quadratic equation is;

f(x) = a(x - h)² + k

Where, (h, k) is the coordinate of the vertex and a is the first term as earlier seen.

Thus;

f(x) = 2(x - 2)² + 1

Now, the leading coefficient is positive and so it means that the parabola will open upwards and thus, will have a minimum value of 1.

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Ostrovityanka [42]

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Step-by-step explanation:

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3 years ago
the scale map says that 10cm represents 2km what distance on the map in centimeters represent an actual distance of 15 kilometer
Leno4ka [110]

Answer:

75cm

Step-by-step explanation:

Well, I can't see a photo, so I'll have to assume that the description provides enough info.

10cm/2km = x/15km,

where x is the distance on the map (in centimeters) of a real-life distance of 15 kilometers.

10cm/2km = x/15km

10/2 = 5/1

This means we have to multiply 5 by 15 to find x.

x = 5 · 15

x = 75

Let's plug the new value back in...

10cm/2km = x/15km

10cm/2km = (75cm)/15km

<em>(Simplify each side to its simplest form)</em>

10cm/2km = 75cm/15km

5/1 = 5/1

It works! So x = 75cm.

Hope this helps! :)

8 0
3 years ago
A coin is biased to display heads 75% of the time . It’s tossed 20times and the out comes are recorded the most improbable simul
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Multiply the number of tosses by the percent of heads:

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The answer is 15.

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How to calculate this question?
Degger [83]

Answer:

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