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krek1111 [17]
3 years ago
5

Tanya is making homemade greeting cards the data table below represents the amount she spends in dollars f(x) in terms of the nu

mber of cards she makes x

Mathematics
1 answer:
Olenka [21]3 years ago
4 0
The function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation
irina1246 [14]

Answer:

y=-\frac{158}{579}

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]

And the vector B is formed with the solution of each equation of the system:b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called A_{2}.

A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]

The value of y using Cramer's rule is:

y=\frac{det(A_{2}) }{det(A)}

Find the value of the determinant of each matrix, and divide:

y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}

y=-\frac{158}{579}

7 0
3 years ago
1. It took Joseph 10 days, 21 hours, and 30 minutes to get from San Diego to Boston. How many hours did it take him? Show your w
RUDIKE [14]
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30 x 1/60 = .5
10 x 24/1 = 240
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2) cf = 24 hours/1 day, 60 minutes/1 hour, 12 inches/1 foot
    a) 0.6 x 12/1 = 7.2 inches
    b) 7.2 x 1/24 = 0.3 inches per hour
4 0
4 years ago
What is 2gh−(3+7)+ 4 x ​
Leno4ka [110]

Answer:

answer -10

Step-by-step explanation:

5 0
3 years ago
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ben earns $9 per hour and $6 for each deilvery he makes.he wants to earn more than $155 in an 8-hour workday.what is the least n
barxatty [35]
So in a 8 hour workday he would make $72... 9x8=72
now 155-72= 83 
83/6= a little over 13
so he would at least have to make 14 deliveries 
:)
7 0
3 years ago
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