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
Nitella [24]
2 years ago
11

Factor

xy^2+32y^3" align="absmiddle" class="latex-formula"> completely.
Mathematics
2 answers:
Darya [45]2 years ago
7 0

Answer:

y(3x + 4y)(x + 8y)

General Formulas and Concepts:

<u>Alg I</u>

  • Factoring

Step-by-step explanation:

<u>Step 1: Define expression</u>

3x²y + 28xy² + 32y³

<u>Step 2: Simplify</u>

  1. Factor out <em>y</em>:                    y(3x² + 28xy + 32y²)
  2. Factor trinomial:              y(3x + 4y)(x + 8y)
  • What multiplies up to 32 adds up to 28 with 3 being multiplied as a coefficient? Numbers are 4 and 8.
balandron [24]2 years ago
6 0

SOLVING STEPS...

<u>STEP</u><u>1</u><u> </u>

FACTOR OUT y FROM THE EXPRESSION

SO ITS

y \times (3x {}^{2}  + 28xy + 32y {}^{2} )

<u>STEP</u><u>2</u><u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>WRITE 28y AS A SUM

<u>STEP3</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>FACTOR OUT 3x2 + 24xy

SO IT'S

y \times (3x \times (x + 8y) + 4xy + 32y {}^{2} )

<u>STEP</u><u>4</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>FACTOR OUT 4xy + 32y2

SO IT'S

y \times (3x \times (x + 8y) + 4y \times (x + 8y) \:   )

<u>STEP5</u><u> </u>

FACTOR OUT (3x × ( x + 8y ) + 4y × ( x + 8y ) )

SO THE ANSWER IS

y \times (x + 8y) \times (3x + 4y)

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

You might be interested in
Ralphie has 23 more toys than his little brother Joey. If they were to get all of their toys out and lay them on the floor, ther
fiasKO [112]
I cant see the question.
7 0
3 years ago
Read 2 more answers
PLEASE ANSWER + BRAINLIEST !!
PtichkaEL [24]

Answer:

Shouldn't the answer be A

Step-by-step explanation:

Because you are only increasing the rate interest and not the result itself.

3 0
3 years ago
State the most appropriate metric units to use to measure the width of an eyelash
liberstina [14]
Hmmm A millimeter  would be too big for that .
I  think  millionths of a meter would be about right. Micrometers.
3 0
3 years ago
7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you’d like.
Black_prince [1.1K]

The different possible mixtures can you make is 1716 .

<u>Step-by-step explanation:</u>

Given that,

  • The total number of flavors available in the shop = 13 flavors
  • The number of flavors you need to choose = 6 flavors

Here, we have to use  the formula for combination,

nCr = n! / r! × (n-r) !

where,

  • n is the total number of flavors
  • r is the number of flavors you need to choose

⇒ 13C6 = 13 ! / 6! × (13-6)!

⇒ 13! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1

⇒ 1716

Therefore, you can 1716 different possible mixtures.

3 0
3 years ago
The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x
Semenov [28]

Answer:

Option C.The decrease in the value of the motorcycle, which is 9%

Step-by-step explanation:

we have a exponential function of the form

f(x)= ab^x

where

a is the initial value

b represents growth or decay factor

If b >1 then it is an exponential growth

if 0<b<1 then it is an exponential decay

In this problem

a=$19,000

b=0.91 -----> it is exponential decay factor

Find the rate of decrease r

b=(1-r)

substitute

0.91=1-r

r=1-0.91=0.09

Convert to percentage

0.09*100=9%

therefore

0.91 represent the decrease in the value of the motorcycle, which is 9%

7 0
3 years ago
Read 2 more answers
Other questions:
  • NEED SMART STUDENT PLEASEE​
    5·2 answers
  • The slope of a linear function h(x) is 2. Suppose the function is translated 8 units up to get d(x). How can h(x) be translated
    6·1 answer
  • There are 14 apples in a blanket. 9 of these apples are green. The rest of them are red.
    12·2 answers
  • Given that the acceleration vector is a(t)=(−1cos(1t))i+(−1sin(1t))j+(3t)k, the initial velocity is v(0)=i+k, and the initial po
    9·1 answer
  • Help so u can get points
    6·2 answers
  • "Express as a mixed numeral: 39/8" is a problem found in a fifth-grade arithmetic textbook. This problem is BEST solved through:
    9·1 answer
  • Which expression below is equivalent to 10?<br> 06+1 + 3<br> 012-3<br> O 5+3+1<br> 015-2-1
    6·1 answer
  • As the city planner of Right City, you are responsible to report information to help the Board of Supervisors make decisions abo
    12·1 answer
  • It’s not b <br> I’ll mark u as brainlist
    12·1 answer
  • Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursd
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!