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sergeinik [125]

2 years ago

7

Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negati

ve 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)
Group of answer choices

1 answer:

Nat2105 [25]2 years ago

6 0

The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)

<h3>What is simplification?</h3>

The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.

Now we have the original expression as;

(xy^2/x^-3y^3)

The only possible step in the expansion is to open up the bracket by the laws of indices and we get;

x^-4y^-8/x^12y^-12 (Option B)

Learn more about algebraic expression:brainly.com/question/953809

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The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

sasho [114]

Answer: OPTION D.

Step-by-step explanation:

Below are some transformations for a function f(x):

If $-f(x)$ , then the function is reflected over the x-axis.

If $f(-x)$ , then the function is reflected over the y-axis.

If $f(bx)$ and $b>1$ , then the function is horizontally compressed.

If $f(bx)$ and $0 < b$ , then the function is horizontally stretched.

In this case you know that the parent function is:

$y=x^3$

According to the information given in the exercise, the parent function IS horizontally stretched by a factor of $\frac{1}{5}$ and it is also reflected over the y-axis.

Therefore, based on the transformations explained before, you can notice that the transformation is:

$f(-bx)$

Where $0 < b$

Therefore, the equation of the transformed function is:

$y=(-\frac{1}{5}x)^ 3$

8 0

3 years ago

Read 2 more answers

How do you round 2.8497 × 10^3 and 349.69 to 3 significant figures?

Kobotan [32]

Your answer for rounding 2.8497 x 10^3 is correct: 2.85 x 10^3.

350.0 is not correct because it has 4 sig figs. The proper rounding would be simply 350. with not additional zeros.

6 0

3 years ago

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con

marusya05 [52]

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force $F$ applied to an object with mass $m$ is directly proportional to its acceleration $a$ :

$F=ma$ (1)

If we isolate $a$ :

$a=\frac{F}{m}$ (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

$m_{1}=4 kg$

$a_{1}=5 m/s^{2}$

$F=m_{1}a_{1}$ (3)

$F=(4 kg)(5 m/s^{2)$ (4)

$F=20 N$ (5)

If we apply this same force calulated in (4) in another object with an acceleration of $a_{2}=2 m/s^{2}$ , its mass $m_{2}$ will be:

$F=m_{2}a_{2}$ (6)

$20 N=m_{2}2 m/s^{2}$ (7)

Finding $m_{2}$ :

$m_{2}=10 kg$ This is the mass of the object

4 0

3 years ago

Use the order of operations to solve. Please write the problem number on your paper and show your work for this problem. Work wi

umka21 [38]

To this question, 533 is the answer

5 0

3 years ago

Read 2 more answers

A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?

ra1l [238]

Answer:

2 cm = 50 km

Find what the rate would be if 2 became 10 by dividing

10/2=5

multiply the 5 with the rate

5 x 50 = 250

250 km apart

hope this helps

Step-by-step explanation:

4 0

3 years ago