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krok68 [10]
3 years ago
6

What is the domain and range of f(x)=2x^2+6x+2

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

As is the case for any polynomial, the domain of this one is (-infinity,  +infinity).

To find the range, we need to determine the minimum value that f(x) can have.  The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is  x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on.  That happens to be y = -5/2, so the range is [-5/2, infinity).

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An interactive poll on the front page of the CNN website in October 2011 asked if readers would consider voting for Herman Cain,
Triss [41]

Answer:

The correct option is C) The results do not apply to any population because this was a voluntary response sample.

Step-by-step explanation:

Consider the provided information.

A statistics student used the information from the poll to calculate the 95% confidence interval.

A voluntary response sample is made up of volunteers. these types of samples are always biased.

Because the people who join the sample have strong opinions about a topic in either direction.

Therefore, the correct option is C) The results do not apply to any population because this was a voluntary response sample.

8 0
3 years ago
Can you help answer this question
Darina [25.2K]
1:b
2:f
3:e
4:c
5:a
6:g
7:d
8:h
8 0
3 years ago
Anyone know what the answer is for this
Anika [276]

Answer:

x^9

Step-by-step explanation:

If we have x^2 * x^3 we have (x * x) * (x * x * x) = x * x * x * x * x = x^5 which demonstrates that x^a * x^b = x^(a+b), 4 + 5 = 9

6 0
2 years ago
Read 2 more answers
2.
Nata [24]

Answer:

I tried looking it up, and i found 15 square units. sorry if its wrong :(

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
15
Evgesh-ka [11]

Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

The hypotenuse is the side of the rhombus = 15 cm

One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12

You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

There are 4 of them so 4 * 54 = 216

That's the area of the rhombus.

The h= Area / b

b = 15

h = 216/15

h = 14.4

8 0
2 years ago
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