Answer:
(x,y): (6 , -3) or (-30/7 , 33/7)
Step-by-step explanation:
6x + 8y = 12
x = y + 9 or y = x+ 9
if x = y+9
6*(y+9) + 8y = 12
14y = -42
y = -3 and x = 6
if y = x+9
6x + 8*(x+9) = 12
14x = -60
x = -30/7 and y = 33/7
Use the order of operations (PEMDAS):
Parentheses, Exponents, Multiplication & Division, and then Addition & Subtraction
************************
1) (8 - 2) + 18 x 6
<u>Parentheses</u> (8 - 2)
6 + 18 x 6
<u>Multiplication</u> (18 x 6)
6 + 108
<u>Addition</u> (6 + 108)
114
**************************
2) (15 + 29 - 4) x 4
<u>Parentheses</u> (15 + 29 - 4)
40 x 4
<u>Multiplication</u> (40 x 4)
160
******************************
3) (13 + 5) x (13 - 5)
<u>Parentheses</u> (13 + 5) and (13 - 5)
18 x 8
<u>Multiplication</u> (18 x 8)
144
*********************************
Answers: 114, 160, 144
Hi!



<u>Explanation: </u><u><em>This question is about math, and this lesson is about order of operations. I will give you a hint. You had to used PEMDAS, P-Parenthesis should be go first, E-Exponents, M-Multiply, D-Divide, A-Add, and S-Subtract. If you use multiply, divide, add, or subtract it should go left to right. First, you had to multiply and divide should go left to right. And it gave us -15+10. And finally, you should add and subtract by left to right. And it gave us -5 is correct answer. Hope this helps! Thank you for posting your question at here on Brainly. And have a great day. -Charlie</em></u>
To determine if it is growth or decay, you just look if the y increases or decreases as x gets bigger. in this case as x gets bigger then y gets bigger, so it is growth.
to get y intercept, plug in 0 for x.and see what y equals. so:
y = 0.01(10)^0
anything raised to the zero power is 1. so:
y = 0.01 (1)
y = 0.01
that is y intercept.
Answer:
![V = \left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=V%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We want to reflect this 2x1 vector on the line y = x.
To make this reflection we must use the following matrix:
![R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]](https://tex.z-dn.net/?f=R%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%261%5C%5C1%260%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Where R is known as the reflection matrix on the line x = y
Now perform the product of the vector <-1,5> x R.
![\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%5C%5C5%5Cend%7Barray%7D%5Cright%5Dx%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%280%29%20%2B5%281%29%26-1%281%29%2B5%280%29%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:
![V = \left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=V%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)