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2 years ago

Which rule should be applied to reflect f(x)=x^3 over the y-axis?

2 answers:

7 0

To make a reflection over the y axis, make the whole equation negative.
The new equation should look like this:

f(x) = -x^3

lyudmila [28]2 years ago

4 0

Answer:

Substitute $-x$ in place for x.

Step-by-step explanation:

We have been given a function $f(x)=x^3$ . We are asked to reflect our given function over the y-axis.

We know that after reflecting a function over y-axis, the y-coordinates remains same, while sign of x-coordinates changes to opposite.

The rule of reflection of a point over y-axis is $f(x)\rightarrow f(-x)$ .

Therefore, we need to substitute $-x$ in place for x in our given function and simplify the equation.

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The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units. A sphere has a radius of x units. What is the val

Tpy6a [65]

Answer:

(b) Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere = $(\frac{500}{3})\pi$ cubic units ... (1)

Also, radius of the sphere = x units

Now, VOLUME OF SPHERE = $(\frac{4}{3}) \pi r^3$

So, volume of a sphere with radius x = $(\frac{4}{3}) \pi (x)^3$

But volume of sphere is given by (1).

$\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3}) \times (\frac{3}{4}) = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x = 5$

Hence, radius of the sphere = 5 units.

4 0

2 years ago

Read 2 more answers

Suppose that G(x)=F(x-6)-3. Which statement best compares the graph of G(x) with the graph of F(x)? Te graph of G(x) is the grap

Marta_Voda [28]

THat would be 6 units to the right and 3 units up.

B

7 0

2 years ago

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Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s

telo118 [61]

Answer:

(1/2, 5)

Step-by-step explanation:

8x + 7y = 39

-2(4x - 14y = -68)

-8x + 28y = 136

8x + 7y = 39

add the two equations together

35y = 175

y = 5

8x + 7(5) = 39

8x = 4

x = 1/2

3 0

1 year ago

-67b + 6 ≤ 9b + 43 solve for b

qaws [65]

Answer:

b ≥ -(37/76)

Step-by-step explanation:

5 0

2 years ago

the united states has 12,383 miles of coastline.if 0.8% of the coastline is located in georgia,about how many miles of coastline

Sever21 [200]

Answer:

825.5 miles of coastline

Step-by-step explanation:

The United States has 12383 miles of coastline.

0.8% of the coastline is in Georgia

Total number of coastline in Georgia will be

0.8% /100% x 12383

0.0667 x 12383

825.5

So there are 825.5 miles of coastline Georgia

6 0

1 year ago