answer.
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
oee [108]
2 years ago
6

How do you factor: 5x^3+30x^2+45x (please show steps)

Mathematics
2 answers:
zheka24 [161]2 years ago
7 0

Answer:

<u>5x³ + 30x² + 45x = 5x (x+3)²</u>

Step-by-step explanation:

Given: 5x³ + 30x² + 45x

Take 5x as a common

5x³ + 30x² + 45x

= 5x ( x² + 6x + 9) ⇒ Factor ( x² + 6x + 9)

= 5x (x+3) (x+3)

= <u>5x (x+3)²</u>

Natasha2012 [34]2 years ago
3 0

Answer:

Idk

Step-by-step explanation:idk

You might be interested in
Help quick The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks throu
QveST [7]

Answer:

Do you have answer choices

Step-by-step explanation:

8 0
2 years ago
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Wh
nata0808 [166]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-3/4 + 2/5x = 7/20x - 1/2

Step 2: Subtract 7/20x on both sides

-3/4 + 1/20x = -1/2

Step 3: Add 3/4 to both sides

1/20x = 1/4

Step 4: Divide 1/20 on both sides

x = 5

6 0
2 years ago
A company administers an "aptitude test for managers" to aid in selecting new management trainees. Prior experience suggests tha
RoseWind [281]

Answer:

0.94

Step-by-step explanation:

The question after this basically is:

<em>"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"</em>

<em />

So,

P(successful if hired) = 60% = 0.6 [let it be P(x)]

P(success at passing the test) = 85% = 0.85   [let it be P(y)]

P(successful and pass the test) =  P(x) + P(y) -[P(x)*P(y)]

So,

P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)

5 0
2 years ago
An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck
kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300

\text{Weight of tires of the fully loaded semi-truck}=59,400

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

\text{Weight of 26 pallets of cargo}=59,400-30,000

\text{Weight of 26 pallets of cargo}=29,400

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

\text{Average weight of one pallet of cargo}=\frac{29,400}{26}

\text{Average weight of one pallet of cargo}=1130.769230769

\text{Average weight of one pallet of cargo}\approx 1131

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0
2 years ago
A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defe
xxMikexx [17]

Answer:

P(N_1 = a , N_2 = b)= \frac{1}{5-a C 1} * \frac{5-a C 1}{5C2} = \frac{1}{5C2}=\frac{1}{10}

Step-by-step explanation:

For the random variable N_1 we define the possible values for this variable on this case [1,2,3,4,5] . We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:

5C2 = \frac{5!}{2! (5-2)!}= \frac{5*4*3!}{2! 3!}= \frac{5*4}{2*1}=10

We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable N_1 like this:

P(N_1 = a) = \frac{5-a C 1}{5C2}

For the distribution of N_2 we need to take in count that we are finding a conditional distribution. N_2 given N_1 =a, for this case we see that N_2 \in [1,2,...,5-a], so then exist 5-a C 1 ways to reorder the remaining transistors. And if we want b additional steps to obtain a second defective transistor we have the following probability defined:

P(N_2 =b | N_1 = a) = \frac{1}{5-a C 1}

And if we want to find the joint probability we just need to do this:

P(N_1 = a , N_2 = b) = P(N_2 = b | N_1 = a) P(N_1 =a)

And if we multiply the probabilities founded we got:

P(N_1 = a , N_2 = b)= \frac{1}{5-a C 1} * \frac{5-a C 1}{5C2} = \frac{1}{5C2}=\frac{1}{10}

8 0
2 years ago
Other questions:
  • A seamstress has a piece of cloth that is 3 yards long. She cuts it into shorter lengths of 16 inches each. How many of the shor
    12·1 answer
  • A. B. C. D. E. Which expressions listed on the left are equivalent to ? Check all that apply. (Assume that a ≠ 0.) A B C D E
    8·2 answers
  • What is the midpoint of the segment shown below?
    8·1 answer
  • Carmen buys 4 daisies and some roses to make a flower arrangement. The number of daisies is 1/3 of the number of roses that she
    6·1 answer
  • What is the following quotient? Sqrt 96/ Sqrt 8
    15·2 answers
  • An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of
    13·1 answer
  • The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea
    7·1 answer
  • The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201
    14·2 answers
  • In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical va
    12·1 answer
  • Read the sentence from Nikita's analysis of "The Children of the Drug Wars." Nazario feels that refugee kids totally shouldn't b
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!