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4 years ago

Which operation can be used with the augmented matrix below?

Mathematics

1 answer:

ycow [4]4 years ago

5 0

Answer:

Multiply row 2 by-1 and add it to row 3.

Step-by-step explanation:

The given augmented matrix is $\left[\begin{array}{ccc}3&-21&15\\15&8&15\\-2&-1&3\end{array}\right]$

The permissible row operations are:

1. Switching rows

2. Multiplying a row by a nonzero constant.

3. Adding/Subtracting two rows

Therefore the correct option is: Multiply row 2 by-1 and add it to row 3.

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Find the error in the problem.

Sonbull [250]

The 2nd step, you're supposed to combine like terms (20h and 2h) but not the 5 because it doesn't have a h next to it.

5 0

3 years ago

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The table represents an exponential function.

Stels [109]

The exponential function is given in the form

$y= a (b)^{x}$

where a is the initial value and b is the multiplicative rate of change

So lets plug the first two values of the table in this function , we get

$2= a(b)^1$

$2= ab............................(eqn 1)$

Now plug second

$2/5 = a(b)^2 .............................( eqn2)$

Divide equation 2 by equation 1

$\frac{2=ab}{\frac{2}{5}=ab^2}$

On simplifying we get

$5= \frac{1}{b}$

$b=\frac{1}{5}$

So the multiplicative rate of change of the function is

$a) \frac{1}{5}$

8 0

3 years ago

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An employer uses the linear regression equation y = 0.18 x + 320.22 to predict the weekly salary, y, of an employee who sells x

Nata [24]

Answer:

Option C is correct.

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:

The linear regression equation

y = 0.18 x + 320.22

is used to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise.

Joaquin sold $1500 worth of goods. Meaning that x for that week for Joaquin is 1500.

Joaquin' s salary for that week is then given as

y = 0.18x + 320.22

y = 0.18(1500) + 320.22 = 590.22

Hence, Joaquin's salary for that week = $590.22

Alex earns $650 that week. Meaning that y for Alex in that week = 650

y = 0.18x + 320.22

650 = 0.18x + 320.22

0.18x = 650 - 320.22 = 329.78

x = (329.78/0.18) = 1832.1

Hence, Alex sold goods worth $1832.1 that week.

Joaquin sold goods worth $1500

Joaquin earned $590.22

Alex sold goods worth $1832.1

Alex earned $650

From this calculation, it is evident that 'Alex earned about $60 more than Joaquin did' is the correct option as $650 is about $60 more than $590.22

Hope this Helps!!!

7 0

3 years ago

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Jake bought the pizza shown above for lunch, which was cut into four equal slices. What percentage of the pizza did Jake eat if

garri49 [273]

The answer is B ,, if it's cut into 4 slices so it's equal which you would divide 100 by 4 = 25 :)

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3 years ago

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Solve for b.<br> ab +c=d

timama [110]

Answer: B = $\frac{-c}{a}$ + $\frac{d}{a}$

Step-by-step explanation:

you need to get B alone so that would be subtracting everything around it

ab = -c + d

then you need to get that a away from it by dividing both sides by A

B = $\frac{-c}{a}$ + $\frac{d}{a}$

6 0

4 years ago