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
xz_007 [3.2K]
3 years ago
14

Factor by grouping. 4x^3 − 16x^2 + 12 − 3x

Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0
He first thing that we would really want to consider is that we would definitely want to group this up because it would make things a lot more easier.

(((4 * (x^3)) -  2^4x^2) +  12) -  3x \\ \\ as \ we \ simplify \ this . . . \\ \\  ((2^2x^3 -  2^4x^2) +  12) -  3x \\ \\ Factoring:  \ \boxed{4x^3-16x^2-3x+12 } \\ \\ Factoring: \  4x^2-3 \\ \\

Your answer: \boxed{\bf{  (4x^2 - 3) *(x - 4)}}
You might be interested in
7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an
Viktor [21]

Answer:

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k ......i

Where C = cost

n = number of people

Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k ......1

Case 2

151.25 = 15m + k .....2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50

5 0
3 years ago
5 less than a product of 4 and a number is equal to 6
DIA [1.3K]

Answer:

4x-5=6 is the equation.

Step-by-step explanation:

What you do is look at the product part. That means multiplying.

Less than means subtraction.

Equals to means equals of course so the equation is

4x-5=6.

3 0
3 years ago
Read 2 more answers
What is 5X minus Y equals 6+ negative 2X plus Y=8
vova2212 [387]

Answer:

For the given expression: X = (\frac{10}{3})  , Y =  (\frac{26}{3})

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X  - Y  = 6 + (-2X) + Y  = 8

Now, considering first  and the last  terms,we get:

5 X - Y  = 8  .... (1)

and , considering second and the last  terms,we get:

6 + (-2X) + Y  = 8 or, -2X  + Y  = 2  ......... (2)

Adding (1) and (2) , we get:

5 X - Y  - 2 X  + Y  = 8 + 2

or, 3 X =  10

or, X = 10/3  = 3.34

Now, 5X - Y = 8

or, 5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8  = \frac{50 - 24}{3}  = \frac{26}{3} \\\implies Y = \frac{26}{3}

Hence, for the given expression:

X = (\frac{10}{3})  , Y =  (\frac{26}{3})

3 0
3 years ago
Please select the best answer from the choices provided
Ira Lisetskai [31]

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

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

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

4 0
3 years ago
An ANOVA procedure is used for data that were obtained from four sample groups each comprised of five observations. The degrees
jeyben [28]

Answer:

(3,16)

Step-by-step explanation:

The degrees of freedom of the critical value F are (k-1,n-k).

We are given that there are four sample group, so,

k=4.

Also, we are given that the each four groups contains five observations, so,

n=4*5

n=20

The critical value F has degree of freedom

(k-1,n-k)

(4-1,20-4)

(3,16).

Thus, the degrees of freedom for the critical value of F are (3,16).

6 0
3 years ago
Other questions:
  • What expression is equivalent to (2/x-4/y)/(-5/y+3/x)
    5·1 answer
  • Which ordered pair could not be the coordinates for a clockwise rotation of the point W(-3, 4)?
    14·1 answer
  • Plz helps me I don’t get these I’m hoping for a smart math helper
    13·2 answers
  • A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).
    8·2 answers
  • Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 2.75 days. Computer B runs a virus s
    9·1 answer
  • Question is attached could you please help me and explain how you got your answer?
    5·2 answers
  • Drag each tile to the correct box.
    10·1 answer
  • Geometry - No links please
    11·1 answer
  • What Theorem do you use to find the length of a missing side on a right triangle?
    14·1 answer
  • What type of number is 12.25-5i
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!