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
miskamm [114]
3 years ago
6

How to factor by grouping:

^{3} - 75x" alt="{27x}^{3} - 75x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

3 x (3 x - 5) (3 x + 5)

Step-by-step explanation:

Factor the following:

27 x^3 - 75 x

Factor 3 x out of 27 x^3 - 75 x:

3 x (9 x^2 - 25)

9 x^2 - 25 = (3 x)^2 - 5^2:

3 x (3 x)^2 - 5^2

Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):

Answer: 3 x (3 x - 5) (3 x + 5)

You might be interested in
Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost
zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots  and 3 pounds of potatoes will cost her

$ (2\times x + 3\times y)

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ (4\times x + 4\times y)

According to the question,

(2\times x + 3\times y) = 8-----(1)

(4\times x + 4\times y) = 13-----(2)

multiplying (1) by 2 we get,

(4\times x + 6\times y) = 16-----(3)

Deducting (2) from (3) we get,

2\times y = 3

⇒ y = \frac{3}{2} = 1.5------------------(4)

Putting value of y in (1) we get,

(2\times x = 8 - 3\times 1.5) = 3.5

⇒  x =\frac{3.5}{2} = 1.75 ------------(5)

8 0
3 years ago
Libby wants to buy 290 raspberry yogurts. They are sold in packs of 4. How many packs does she need to buy?
oksano4ka [1.4K]

Answer:

73 packs

Step-by-step explanation:

Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.

290/4

= 72.5

Since we need a whole number answer, round this up:

72.5

= 73

So, Libby will need to buy 73 packs

3 0
3 years ago
Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an
mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

80d+61=701

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

80d+61-61=701-61\\\\80d = 640

Now Dividing both side by 80 we get;

\frac{80d}{80}=\frac{640}{80}\\\\d=8

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0
3 years ago
Simplify to a single power of 4:<br> 4^7/4^6
Temka [501]

Step-by-step explanation:

\frac{ {4}^{7} }{ {4}^{6} }

= 4

.......

4 0
3 years ago
Read 2 more answers
What is the expanded form of this number?
noname [10]

i think the answer is A

Step-by-step explanation:

i just think it's a

4 0
3 years ago
Other questions:
  • PLEASE HELP ASAP
    14·1 answer
  • 6 is what percent of 40?
    10·2 answers
  • WHAT IS THE DIFFERENCE BETWEEN SQUARE ROOT AND CUBE ROOT?
    9·2 answers
  • If two sides of a triangle measure 12 and 7, which cannot be the perimeter of the triangle?
    6·1 answer
  • Pete has 5 marbles . Jay has a number of marbles that is two more than 5 . How many marbles does jay have?
    8·2 answers
  • The bacterial strain Acinetobacter has been tested for its adhesion properties, which is believed to follow a normal distributio
    11·1 answer
  • This is due tomorrow if someone could help me that would be great &lt;3
    9·1 answer
  • Find the missing angle on a quadrilateral. Angle C equals 80 degrees, Angle D equals 90 degrees, and angle E equals 135 degrees.
    10·1 answer
  • The figure below is a square pyramid. <br><br><br> What is the surface area of the figure?
    12·2 answers
  • 1. Find the value of k.<br> A. 17<br> B. 73<br> C. 118<br> D. 107
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!