Answer:
slope = 3. The line crosses through many points, one of which is (0,4)
Step-by-step explanation:
y = 3x + 4
Answer:
<em>See the graph with both lines attached</em>
A) From the tables we see the constant change of values in the second column and the initial value is zero.
This represents a proportional relationship for both tables.
B) <u>Revel</u>
- Rate of change is 5 per hour, the equation is:
- y = 5x, where y is cost, x - is the number of hours
<u>Scooters</u>
- Rate of change is 6 per hour, the equation is:
- y = 6x, where y is cost, x - is the number of hours
C) <u>When x = 12</u>,
- y = 5*12 = $60 for Revel
- y = 6*12 = $72 for Scooters
D) <u>The point (4, 24) represents that:</u>
- The cost of 4 hours is $24
E) The second table has confusing titles (days and number of cell phones) but if we assume its same as the first table, then Revel has lower rate as 5 < 6.
Comparing the prices and the graph, Revel has better rate per hour.
<h3>
Answer: 0.8554</h3>
==========================================
Explanation:
A 6% decrease means the multiplier is 1-0.06 = 0.94
A 9% decrease means the multiplier is 1-0.09 = 0.91
Multiply those results: 0.94*0.91 = 0.8554
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Extra Info:
The final price is 85.54% of the original price after the two discounts are applied (in any order). This represents a total discount of 100% - 85.54% = 14.46%
The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.
The matrices are given as:
![X = \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]](https://tex.z-dn.net/?f=X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D)
![A = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%26%5Cfrac%203%7B10%7D%5C%5C-%5Cfrac%2025%20%26-%5Cfrac%201%7B10%7D%5Cend%7Barray%7D%5Cright%5D)
To check the matrices are inverse, we calculate their products.
![A \times X = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right] \times \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%26%5Cfrac%203%7B10%7D%5C%5C-%5Cfrac%2025%20%26-%5Cfrac%201%7B10%7D%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D)
Multiply the rows of A by the column of X.
This gives
![A \times X = \left[\begin{array}{cc}\frac 15 \times -1 + \frac{3}{10} \times 4&\frac 15 \times -3 + \frac{3}{10} \times 2\\ -\frac 25 \times -1 - \frac{1}{10} \times 4&-\frac 25 \times -3 + -\frac{1}{10} \times 2\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%20%5Ctimes%20-1%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%5Ctimes%204%26%5Cfrac%2015%20%5Ctimes%20-3%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%5Ctimes%202%5C%5C%20-%5Cfrac%2025%20%5Ctimes%20-1%20-%20%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%204%26-%5Cfrac%2025%20%5Ctimes%20-3%20%2B%20-%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%202%5Cend%7Barray%7D%5Cright%5D)
![A \times X = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
The product of A and X is an identity matrix.
This means that; both matrix are inverse of each other
Read more about matrix at:
brainly.com/question/4017205
Answer:
- 2x + y
- 3 x - 2y
- -1
2(3 x - 2y) = -6x + 4y
2x + y + -6x + 4y + -1 = -4x + 5y -1