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
Otrada [13]
3 years ago
7

Directions:Use the product rule to simplify the following monomials.

Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0

<u>Question :</u>

❖ Use the product rule to simplify the following monomials.

\\  \tt \: 19.  \: ( - 15x {y}^{4} ). \bigg( -  \frac{1}{3} x {y}^{3}  \bigg)  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\   = \tt\bigg[( - 15) \times  \bigg(  - \frac{1}{3}  \bigg)  \bigg] {x}^{(1 + 1)} . {y}^{(4 + 3)}  \\  \\  \tt = 5 {x}^{2}  {y}^{7 \ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }  \\  \\  \\

\\  \tt20. \:  \:   \tt (  5 {a}^{2}  {bc}^{3} ). \bigg(   \frac{1}{5} a {bc}^{4}  \bigg)   \tt   \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\   = \tt\bigg[5 \times  \frac{1}{5}   \bigg] {a}^{(2 + 1)} . {b}^{(1 + 1)} . {c}^{(3 + 4)}  \\  \\  \tt =  {a}^{3} {b}^{2}   {c}^{7 \ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }  \\  \\  \\

\\ \tt \:21. \:  \:   \frac{1}{3} (2a³b)(6b³) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \tt =  \frac{1}{3}  \times (2 \times 6) {a}^{3} . {b}^{(1 + 3)} \\  \\  \tt =  \frac{1} { \cancel{3}}  \times \cancel{ 12} \:  ({a}^{3} {b}^{4}) \:  \:  \:  \\  \\  \tt = 4{a}^{3} {b}^{4} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\

sattari [20]3 years ago
5 0

Answer:

19. 5x²y⁷

20. a³b²c⁷

21. 4a³b⁴

Step-by-step explanation:

hope i helped! good luck in class!!

You might be interested in
When 15 is subtracted from 3 times a number the result is -32. what is the number?
Vilka [71]

Answer:

15.6

Step-by-step explanation:

15+32=47

47/3=15.6

since the - is there

it will be -15.6

5 0
3 years ago
Read 2 more answers
F(x) is a function.<br> 3<br> 5<br> 2<br> 10<br> 15<br> 0<br> f(x)<br> O A. True<br> O B. False
elixir [45]

Answer:

False

Step-by-step explanation:

X = 5 goes to two different values of y so it is not a one to one correspondence.  This is a relation not a function.

3 0
3 years ago
Read 2 more answers
Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
Estimate then record the product, 181×2
Sauron [17]
I estimated it is around or near 360
8 0
3 years ago
Write 3729 correct to the nearest hundred.
tekilochka [14]

Answer:

<h2>3700 is the result of rounding 3729 to the nearest 100.</h2>

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The volume (V) of a sphere varies directly with the cube of its radius (r). If k is the constant of proportionally, which is the
    14·1 answer
  • A rectangle has a length of 6 cm and a width of 3 cm. Each side is doubled in length. What is the ratio of the areas of the two
    9·1 answer
  • What is the value of 19 + 5a4 – 3b2 when a = 2 and b = −4?
    13·1 answer
  • Find the missing number in this sequence<br> 1,0,1,1,0,1,_.1.0.1.1.1.10
    10·2 answers
  • Expanded form of 99.438
    11·1 answer
  • Susana has 4 academy shirts, 3 pairs of jeans and 5 pairs of sneakers. How many different outfits can she make consisting of one
    7·1 answer
  • Which expressions are completely factored? Select each correct answer. 32y10−24=8(4y10−3) 18y3−6y=3y(6y2−2) 16y5+12y3=4y3(4y2+3)
    13·1 answer
  • Jolene and Samantha begin a trip from the same place at the same time. If Jolene's speed is 40 mph and
    7·1 answer
  • 1. Marla coloured 1/4 of a picture, and Suman painted some, too. When they were finished, 2/3 of the picture still needed to be
    14·1 answer
  • Express the following repeated subtraction as a division fact 36-12-12.- 12,=0 ​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!