HELP!! PROBABILITIES!!

Mathematics

1 answer:

denis23 [38]3 years ago

7 0

2×3×4 She has 24 options of cars

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Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find t

DochEvi [55]

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

8 0

3 years ago

Solve the following system of linear equations: 3x1+6x2+6x3 = -9 -2x1–3x2-3x3 = 3 If the system has infinitely many solutions, y

choli [55]

Answer:

The set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

Step-by-step explanation:

The augmented matrix of the system is $\left[\begin{array}{ccccc}3&6&6&-9\\-2&-3&-3&3\end{array}\right]$ .

We will use rows operations for find the echelon form of the matrix.

In row 2 we subtract $\frac{2}{3}$ from row 1. (R2- 2/3R1) and we obtain the matrix $\left[\begin{array}{cccc}3&6&6&-9\\0&1&1&-7\end{array}\right]$
We multiply the row 1 by $\frac{1}{3}$ .

Now we solve for the unknown variables:

$x_2+x_3=-7$ , $x_2=-7-x_3$
$x_1+2x_2+2x_3=-2$ , $x_1+2(-7-x_3)+2x_3=-2$ then $x_1=12$

The system has a free variable, the the system has infinite solutions and the set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

6 0

3 years ago

What two numbers have a sum of 217 and a difference of 85?

KiRa [710]

We can use the system of equations:x + y = 217x - y = 85-----------------From the 2nd equation: y = x - 85x + x - 85 = 2172 x = 217 + 852 x = 302x = 302 : 2x = 151y = 217 - 151y = 66We can prove this solution:151 + 66 = 2017 and 151 - 66 = 85.Answer: those numbers are 151 and 66.

3 0

3 years ago

Identify the property used in each step of solving the inequality . 7x+4<46

ExtremeBDS [4]

For this case we have the following inequality:

$7x + 4$