1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitriy789 [7]
3 years ago
6

What is the degree of the power function represented in the table

Mathematics
2 answers:
DiKsa [7]3 years ago
7 0

Answer:

2

Step-by-step explanation:

We need to plot the points in a graph and see the general shape of the curve.

<em>Attached is the graph.</em>

<em />

This Upside Down "U" shaped curve is that of a parabola, which has the general form

ax^2 + bx + c

Thus, we see, the function is a 2nd degree function, highest power is 2.

<em />

Vladimir79 [104]3 years ago
3 0

Answer: The degree of the power is 2.

Step-by-step explanation:

In the table we can see that h(0) = 0, so in our function h(x) there are no term that is not multiplicated by x.

we also have:

h(-2) = -8

h(2) = -8

So we see that the function h(x) is a pair function, so the degree must be a pair degree.

We also see that h(1) = h(-1) = -2

So make sense to think that the function is of the form:

h(x) = a*x^n

and for example:

h(2) = a*(2^n) = -2

where n can be 2 or 4

if n = 4, we have

h(2) = a*(2^4) = a*16 = -2

then a = -1/8

and h(1) = (-1/8)*1^n = -1/8

but we know that h(1) must be equal to -2, so n= 4 is not the correct option.

if n = 2

h(2) = a*(2^2) = -8

a*4 = -8

a = -2

and h(1) = -2*(1^2) = -2

this works.

So the degree power of the function is equal to 2.

You might be interested in
The reflection of the point (4, 6) over the y-axis is:
Brums [2.3K]
(-4,6)
The x value changes bc since it is a reflection y cannot change and x becomes negative
8 0
2 years ago
Read 2 more answers
Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr and then for another 2 hours and 5 minutes with a constant
NemiM [27]
The complete question is
<span>Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr and then for another 2 hours and 5 minutes with a constant speed of 12 km/hr what is her average speed for the total trip?</span>

we know that
speed=distance/time

1) Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr
time=2 1/6 hrs----> 13/6 hrs
speed=6 km/h
distance=speed*time----> 6*(13/6)---> 13 km

2)for another 2 hours and 5 minutes with a constant speed of 12 km/hr
time=2hrs+5 minutes----> 2+(5/60)--> 125/60 hrs
speed=12 km/hrs
distance=speed*time----> 12*(125/60)---> 25 km

3) find the average speed for the total trip
total distance=13 km+25 km----> 38 km
total time=(13/6)+(125/60)----> (10*13+125)/60----> 4.25 hours
speed=38/4.25----> 8.94 km/hrs

the answer is
8.94 km/hrs
7 0
3 years ago
What is the equation of the sinusoid shown in the graph?
ololo11 [35]

Answer:

<em>Answer: C</em>

Step-by-step explanation:

<u>The Cosine Function</u>

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

y=\cos x

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

y=A\cos(\omega x)

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

\frac{\pi}{2}\omega =2\pi

Thus:

\omega = 4

Therefore, the equation of the sinusoid is:

y=3\cos (4x)

Answer: C

3 0
3 years ago
Read 2 more answers
(3,2), (3,5)
MaRussiya [10]

Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

4 0
3 years ago
Write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).
Marina86 [1]

Answer:

x=-3

Step-by-step explanation:

'x = -3', when graphed, passes through the point (-3,7) and (-3,0).

Since the line passes (-3,0), the x-intercept is -3.

(-3, 7) lies on the equation.

I have attached a picture of the graphed equation.

'x = -3' should be the correct answer.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Yvonne is thinking of a number. fifty, decreased by three times the the number, is the same as seven times the number, increased
    6·1 answer
  • By what transformation can the set representing the inverse of a function be found? 1) reflection in the origin 2) reflection in
    10·1 answer
  • The rule is :divided by 5 the pattern is : 625
    5·1 answer
  • Which expression is equivalent to (cd)^5?<br> O c^5 +d^5 <br> O c^5/d^5<br> O c^5d^5<br> O c^5-d^5
    14·1 answer
  • Which two equations are equivalent?a y = (x 4)2y = x2 16 b y = (x – 3)2y = x2 – 6x 9 c y = (x 2)2y = x2 2x 2 d y = (x – 6)2y = x
    10·1 answer
  • What should be calculated first to solve this story problem? A bus driver drove a bus 43.9 miles per hour for 5 hours on Monday.
    7·2 answers
  • PLS ANSWER NOW WILL EARN BRAINLIEST IF RIGHT
    11·2 answers
  • 5/8x + 4 = 3/8x + 12
    7·1 answer
  • Simplify<br> 5т — п — 5п + 2
    7·1 answer
  • You have to solve for X
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!