All categories

3 years ago

Solve the inequality -5/4(8x+4)<6-3x. Show your work.

Mathematics

2 answers:

Oxana [17]3 years ago

4 0

Answer:

x > -11/7

Step-by-step explanation:

-10x - 5 < 6 - 3x

-5 -6 < -3x + 10x

7x > -11

x > -11/7

Debora [2.8K]3 years ago

3 0

Answer:

$x>-\frac{11}{7}$

Step-by-step explanation:

Step 1: Distribute

$-\frac{5}{4} (8x+4)$

$(-\frac{5}{4} *8x)+(-\frac{5}{4} *4)$

$-\frac{40x}{4}-\frac{20}{4}$

$-10x-5$

Step 2: Add 10x to both sides

$-10x-5\mathbf{+10x}$

$-5$

Step 3: Subtract 6 from both sides

$-5\mathbf{-6}$

$-11$

Step 4: Divide both sides by 7

$-11\mathbf{/7}$

$x>-\frac{11}{7}$

Answer: $x>-\frac{11}{7}$

You might be interested in

Rounded to hundred how can I round to hundred

Gwar [14]

If you are talking about any number then.....
imagine a mountain, any number less than 5 is only the left and any number greater than 5 is on the right

Here, for example, let's try 13

look at 13 on the pyramid .... since it's not a the top of the mountain so it falls back down to 10... it rounds down to 10
Now let's try 18 ...hmmm.... 18 is not at the top either so it falls as well. It falls down to 20 it rounds up to 20

how about 15 u might be asking...it is at the top...15 is a little different ...make sure no one is looking and push it off the right side and falls to 20. Also rounding up to 20

5
4 6
3 7
2 8
1 9
0 10

7 0

3 years ago

(PLEASE HELP ASAP)

UNO [17]

9514 1404 393

Answer:

A. 3×3

B. [0, 1, 5]

C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.

Step-by-step explanation:

A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.

This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...

A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)

Matrix A is 3×3.

B. The second row of A represents the second equation:

$0x_1+1x_2+5x_3=-1$

The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.

C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)

6 0

2 years ago

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively: