Answer: Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Step-by-step explanation: x+8y-7z=12 5x+9y+5z=15 6z-3y-8x=1. - 18028782.
The system of equations provided can be converted into an augmented matrix as follows: [[1, 8, -7, 12], [5, 9, 5, 15], [-8, -3, 6, 1]]. The dimensions of this matrix are 3x4.
The provided system of equations is:
1. x + 8y - 7z = 12
2. 5x + 9y + 5z = 15
3. -8x - 3y + 6z = 1
We can represent this system as an augmented matrix by aligning the coefficients of the variables and the constants. The augmented matrix is:
[[1, 8, -7, 12], [5, 9, 5, 15], [-8, -3, 6, 1]]
The dimensions of this matrix represents the number of rows and columns it has. In this case, this matrix is a 3x4 matrix because it has 3 rows and 4 columns.
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Answer:
All real numbers
Step-by-step explanation:
-9x-3x+4 = -10x - (2x- 4)
-12x+4=-10x-2+4
-12x+4=-12x+4
Answer:
−
9
x
−
3
x
+
4
, then set it equal to
−
10
x
−
(
2
x
−
4
)
.
Always true
Step-by-step explanation:
Answer:
17 feet
Step-by-step explanation:
the seagull is originally 53 feet above water and dives 70 feet down. so 53-70=-17. 17 feet below water.
measures marked with
question marks.
Answer:
First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.
The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.
Step-by-step explanation:
Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.
Hope this helped im not sure if its right though.
What is the common ratio?
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
To create a mathematical model for the next 10 years' projected net income for Calculate and Computate, use the given growth rates. Compare the projected net incomes to decide which company to invest in. Find the year when the two companies have the same net income.
To create a mathematical model for the projected net income for the next 10 years for both companies, we can use equations. Let's start with Calculate:
Net Income(Calculate) = 5 + 0.5*year
For Computate, the net income growth rate is 15%, so the equation would be:
Net Income(Computate) = 2 * (1 + 0.15)^year
To compare the two companies' projected net income, we can create a table or graph using the equations. By comparing the values, we can determine which company would be a better choice for investment. To find when the two companies have the same net income, we can set the two equations equal to each other and solve for the year.
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