Answer:
23
Step-by-step explanation:
<span>Key features: no negative x values,
The y axis is a vertical asymptote</span><span>The log graph is the reflection of the exponential graph in the line y = x
</span>
The required matrix is:
![\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%2617%260%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We need to apply elementary row operation -2R₂+3R₁ tothe matrix:
![A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%262%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Multiplying Row 2 with -2 and Row1 with 3 and adding,
-9 15 6
-16 2 -6
----------
-25 17 0
After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁
The required matrix is:
Keywords: Matrices, elementary row operation
Learn more about matrices at:
#learnwithBrainly
An easy way to think of this when you solve this, is to remember that all the angles in a triangle add up to 180 degrees. Therefore, the equation would be
(3x + 10) + (2x + 10) + 45 = 180. By the way, since the angles D and B are across from each other they are congruent. Now, let’s start solving it:
(3x + 10) + (2x + 10) + 45 = 180
(5x + 20) + 45 = 180
5x + 65 = 180
5x = 115
x = 23
Let Tina bought X number of nail polish any Y number of lip gloss.
then, X+Y=9
or,X=9-Y
Also,4.5 X+7 Y=50.5
or, 4.5 (9-Y) +7 Y=50.5
or, Y =4.........................................(i)
so, X= 9-4
= 5........................................(ii)
hence, she bought 5 nail polish and 4 lip gloss
