All categories

3 years ago

Which of the following could be the graph of y = –xn where n is odd?

Mathematics

1 answer:

mina [271]3 years ago

8 0

Answer:

Step-by-step explanation:

I think you meant y = -x^n, where ^ denotes exponentiation.

If n is odd, the graph begins in Quadrant II and decreases through the origin into Quadrant IV. This is true of -x, -x^3, -x^5, and so on.

You might be interested in

Someone please help me with these 2 problems :(

k0ka [10]

If the discriminant b^2-4ac is 0, then you have TWO EQUAL, REAL ROOTS.

If you're given the x-intercepts, you can determine the factors of the polynomial as follows: Take -3, change the sign and write (x+3). Take 5, change the sign and write (x-5). Then the eq'n of the parabola is

f(x) = (x+3)(x-5) = x^2 - 2x -15, in which a=1, b = -2 and c= -15.

You can find the x-coordinate of the vertex, which is also the equation of the axis of symmetry, using

x= -b / (2a). Here, x = -(-2) / (2[1]), or x = 1

Find the y-coordinate by subbing 1 for x in the equation above:

y = (1)^2 - 2(1) - 15 = 1 - 2 - 15 = -16

The vertex is at (1, -16) and the equation of the axis of symm. is x = 1.

7 0

3 years ago

Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is larges

Karolina [17]

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12 Product Difference Product- Difference

11 +1 11 10 1

10 +2 20 8 12

9 +3 27 6 21

8 +4 32 4 28

7 +5 35 2 33

6+6 36 0 36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

4 0

3 years ago

Could you please look at this question?

MrMuchimi

Answer:

a. see attached

b. H(t) = 12 -10cos(πt/10)

c. H(16) ≈ 8.91 m

Step-by-step explanation:

The cosine function has its extreme (positive) value when its argument is 0, so we like to use that function for circular motion problems that have an extreme value at t=0. The midline of the function needs to be adjusted upward from 0 to a value that is 2 m more than the 10 m radius. The amplitude of the function will be the 10 m radius. The period of the function is 20 seconds, so the cosine function will be scaled so that one full period is completed at t=20. That is, the argument of the cosine will be 2π(t/20) = πt/10.

The function describing the height will be ...

H(t) = 12 -10cos(πt/10)

The graph of it is attached.

See part a.

The wheel will reach the top of its travel after 1/2 of its period, or t=10. Then 6 seconds later is t=16.

H(16) = 12 -10cos(π(16/10) = 12 -10cos(1.6π) ≈ 12 -10(0.309017) ≈ 8.90983

The height of the rider 6 seconds after passing the top will be about 8.91 m.

8 0

3 years ago

What's 2\5 =12/n solving proportions

gogolik [260]

<span>Cross multiply: 2 * n = 5 * 12

Simplifying 2 * n = 5 * 12

Multiply 5 * 12 2n = 60

Solving 2n = 60

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '2'. n = 30

Simplifying n = 30</span>

8 0

3 years ago

Desmos Introduction to Geometry Proofs<br> Proof #5 Challenge

xz_007 [3.2K]

Answer:

For statement 2, reason is Segment addition postulate.

Statement 3 and reason is

BD=AC+CD using substitution property of equality.

Statement 4 and reason is

AC+CD=BD using symmetric property of equality

Statement 5 is

BD= BC+CD

Statement 6 and reason is

AC+CD=BC+CD using transitive property of equality

Reason for 7 is

Subtraction property of equality.

Step-by-step explanation:

For statement 2, we use segment addition postulate to say AC= AE+EC.

8 0

3 years ago