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BaLLatris [955]
2 years ago
15

Which function is a quadratic function?

Mathematics
2 answers:
MariettaO [177]2 years ago
8 0

Answer:

h(x) = 3x(x - 2) - 4

Step by-step explanation

A quadratic function has a degree of 2.

Firstly, we expand h(x):

h(x) = 3x (x - 2) - 4

OR h(x) = 3x squared - 6x - 4
Therefore, it is h(x)

Musya8 [376]2 years ago
4 0

Answer:

<u>h(x) = 3x(x - 2) - 4</u>

Step-by-step explanation:

A quadratic function is a polynomial having a degree of 2.

==============================================================

On expanding h(x) :

⇒ h(x) = 3x (x - 2) - 4

⇒ h(x) = 3x² - 6x - 4

=============================================================

Hence, h(x) is a quadratic function.

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Step 3a: Calculating the average rate
Alex73 [517]

9514 1404 393

Answer:

  a) average rate = (total distance)/(total time)

  b) Rave = 2·R1·R2/(R1 +R2)

  c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

  First leg distance: AB = 70·t1   ⇒   t1 = AB/70

  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

  average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

  average rate = 560/11 = 50 10/11 . . . mph

__

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

  average rate = 2r1·r2/(r1+r2)

__

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0
3 years ago
Which is greater 8.2 or 8.23
faust18 [17]
I believe 8.23 is greater because 8.2 can be 8.20 so that’s why my answer is 8.23
8 0
3 years ago
Read 2 more answers
What is the solution to this equation x/5=15<br> a.x=75<br> b.x=20<br> c.x=3<br> d.x=10
Darina [25.2K]

\dfrac{x}{5}=15\ \ \ \ |\cdot5\\\\\not5\cdot\dfrac{x}{\not5}=5\cdot15\\\\x=75

Answer: a. x = 75

8 0
3 years ago
Please could someone help me?
Sonja [21]

Answer:

∠ XZY ≈ 23.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin Z = \frac{opposite}{hypotenuse} = \frac{XY}{YZ} = \frac{6}{15}, thus

Z = sin^{-1}(\frac{6}{15}) ≈ 23.6° ( to 1 dec. place )

3 0
3 years ago
Read 2 more answers
Which best describes the character type of Curt Lemon in “The Dentist”?
Yuri [45]

Answer:

dynamic character

Step-by-step explanation:

3 0
3 years ago
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