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3 years ago

Ella played a math game and had the five cards shown.

Mathematics

2 answers:

Gennadij [26K]3 years ago

5 0

Answer:

-5

Step-by-step explanation:

7-4+2-10= -5

GREYUIT [131]3 years ago

4 0

-5. You start with 7 then subtract 4 then add 2 then subtract 10 to get your answer.

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Find the inverse of this matrix. 1 -1 -1 -1 2 3 1 1 4

zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]$

• Add row 1 to row 2, and add -1 (row 1) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]$

• Add -2 (row 2) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add -2 (row 3) to row 2:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add row 2 and row 3 to row 1:

$\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

So the inverse is

$\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}$

3 0

3 years ago

Can y’all help me with the 1st and 2nd one plz

kherson [118]

1. -1/5>-3/5 because we have like denominators we compare the inputs by the numerators.

2. 3/4 > 5/8 the least common denominator is: 8

Rewriting as equivalent fractions with the LCD:

3/4 = 6/8 5/8 = 5/8

Comparing the numerators of the equivalent fractions we have:

6/8 > 5/8

4 0

2 years ago

An event that cannot happen is a certain b possible c impossible

Kamila [148]

An event that cannot happen is impossible

8 0

2 years ago

Read 2 more answers

Is Triangle B a rotation of Triangle A? Explain how you know.

Natasha_Volkova [10]

Answer:

where is the figure

Step-by-step explanation:

5 0

2 years ago

You want to go to the skate park, and you have two options:

Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

Define the variables

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

Work to solve

For Sami's skate

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

The equations

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

When the cost are the same

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

$x = 4$

i.e. the cost are the same at the 4th hour

What is the cost

Substitute 4 for x in any of the equations

$y = x + 10$

$y = 4 + 10$

$y = 14$

The cost is $14.00

3 0

2 years ago