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Reptile [31]
3 years ago
13

A recipe requires 6.5 teaspoons of sugar to make a pie. Which equation shows the number of teaspoons of sugar, y, needed to make

x pies? x = 6.5y y = 6.5 + x x = 6.5 + y y = 6.5x
Mathematics
1 answer:
kupik [55]3 years ago
5 0
The equation to your answer is x = 6.5y
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Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 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
Your friends asks you to bring a couple of bags of chips to his party. There are several brands of chips, each a different size
Wewaii [24]

Answer:

i will buy wo different with good price  

Step-by-step explanation:

7 0
3 years ago
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Write an equation that represents the line
lana [24]
Equation of the line: y=4/5x-18/5
7 0
3 years ago
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Help me understand please​
erastova [34]

Answer:

V=pi x (r)^2 x h

V-volume r-radius h-height

V= pi x (3)^2 x 9

V= pi x 9 x 9

V= pi x 81

V= 254.47 (rounded)

6 0
3 years ago
Gabriela has an apartment that costs 30% of her monthly budget, which is $3,575. What is the amount of money she has left over f
irina [24]

Answer:

$3003

Step-by-step explanation:

30/100×$3,575=3000/$3,575=0.84%

0.84%/100×$3,575

84/100×3,575=$300,300/100

$3003

4 0
3 years ago
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