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
Alenkinab [10]
3 years ago
7

lou thinks the expression 27x^3-64 factors to (3x-4) (9x^2+12x+16). is he correct? How can you check his work? Show all work to

justify your thinking.
Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

Step-by-step explanation:

(a³ - b³) = (a - b) (a² + ab + b²)

27x³ - 64 = 3³x³ - 4³

               = (3x)³ - 4³   {a = 3x & b= 4)

Substitute in the above formula.

               = (3x -4)([3x]² + 3x*4 + 4²)

              = (3x - 4)(9x² + 12x + 16)

The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).

You might be interested in
1. What is the value of 668 + 575 + 453, rounded to
Brums [2.3K]

Answer:

E. 1,700 is your answer.

Step-by-step explanation:

What you do is you add 668 + 575 + 453 together.

668 + 575 + 453 = 1,696.

The hundreds place is the 9. Since the 9 is bigger than 4 it gets rounded up. That means the 6 in front of the 9 becomes a 7 and 9 and 6 become a zero.

E. 1,700 is your answer.

6 0
3 years ago
Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
Dovator [93]
The confidence interval is from 0.2191 to 0.2649, given by

0.242\pm0.0229.

The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05

Divide that by 2:
0.05/2 = 0.025

Subtract that from 1:
1 - 0.025 = 0.975

Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.

Now our confidence interval is given by
\overline{x} \pm z\times \frac{\sigma}{\sqrt{n}}
\\
\\0.242\pm 1.96 \times (\frac{0.037}{\sqrt{10}})
\\
\\0.242 \pm .0229
\\
\\0.242-0.0229=0.2191
\\
\\0.242+0.0229 = 0.2649
5 0
3 years ago
If these two figures are similar, what is the measure of the missing angle? 180 90 70 110
yawa3891 [41]

Answer:

70

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Compare the values of the underlined digits
katrin [286]
Unfortunately I can not answer this question because there are no underlined digits in your question
7 0
3 years ago
(2) The population density of a region in Alaska is 3,000 people/200 mi? Which of the
Vesna [10]

Answer:

15 people/mi

Step-by-step explanation:

The population density of a region in Alaska is 3,000 people/200 mi.

We need to find the equivalent to the population density of this Alaskan region.

x=\dfrac{3000\ \text{people}}{200\ \text{mi}}\\\\x=\dfrac{30\ \text{people}}{2\ \text{mi}}\\\\x=\dfrac{15\ \text{people}}{\text{mi}}

So, the correct option is (c) "15 people/mi"

8 0
3 years ago
Other questions:
  • Does (3, –8) make the equation y = –x + –5 true?
    13·1 answer
  • How would you simplify this -5x+2x+7y-3x
    14·2 answers
  • Which statements about the hyperbola are true? Check all that apply. There is a vertex at (–5, 2). The center of the hyperbola i
    7·2 answers
  • point d is the interior of angleABE and point E is the interior of angleDBC....(press on the picture please) (also i scratched o
    11·1 answer
  • Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
    10·1 answer
  • A takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B by 3/2 hours . Find their speed of walkin
    11·1 answer
  • Can someone help me really quickly and have a explainton for as well
    8·1 answer
  • Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
    8·1 answer
  • A square with a side of y is transformed into a rectangle by adding 10 to one side and then subtracting 10 from another. Express
    10·1 answer
  • Guys this question is really difficult ok what... is... 2+2?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!