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Rufina [12.5K]
3 years ago
6

Factor the expression. 4x(x^3 − 6) − 7(x^3 − 6) HELP ASAP!!

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
4x(x^3 - 6) - 7(x^3 - 6)

<em>Take out the common factor,  (x³ - 6), from both terms:</em>
= (x^3 - 6)(4x - 7) 

\Longrightarrow Answer \ D

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David's cell phone company charges $0.45 for each text message plus a monthly fee of $50.00. He owes $91.40. Write and solve an
Gelneren [198K]
91.40 - 50.00 = 41.40
41.40 ÷ .45 = 92
David sent 92 text messages.
(sorry if the format is wrong)
5 0
3 years ago
Create a matrix for this system of linear equations, The determinant of the coefficient matrix is
marin [14]

Answer:  The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation:  The given system of linear equations is :

2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.

Now, from equations (ii) and (iii), we have

x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.

From equations (iv) and (v), we get

y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0
3 years ago
Simplify 6(x + 2) + 7.
Elina [12.6K]

Answer:

6x+19

Step-by-step explanation:

First thing first, we need to multiply the 6 into the equation. We do this by multiplying the x and 2 by 6.

6(x+2)+7

Multiply

6x+12+7

Now we need to combine like terms by adding the 12 and 7

6x+19

There it is simplified.

8 0
3 years ago
I need help thank you
ycow [4]

9514 1404 393

Answer:

  • y = 3x +1
  • y = x + 3

Step-by-step explanation:

The bottom dot and the top dot are on a line with two other dots, the one at (0, 1) and the one at (1, 4). That line has a rise/run = 3/1. The point (0, 1) is its y-intercept, so its equation can be ...

  y = 3x +1

The left dot and the lower right dot are on a line with three other dots. One of those (1, 4) is shared with the previous line. This line has a rise/run = 1/1. The point (0, 3) is its y-intercept, so its equation can be ...

  y = x + 3

These two equations capture all of the coins.

4 0
3 years ago
Karen walked three miles in 48 mins. Bob walked one mile further than Karen. If it took Bob 1 hour and 5 min to complete his wal
nlexa [21]

Answer:

Karen

Step-by-step explanation:

Karen because it took bob and extra minute to walk the last mile.

8 0
3 years ago
Read 2 more answers
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