Distribute
remember a(b+c)=ab+ac
8(y+4)=8(y)+8(4)=8y+32
8y+32=7y+38
minus 7y both sides
y+32=38
mius 32 oth sides
y=6
Answer:
y = -4/3x -9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
8x+6y = -54
Subtract 8x from each side
8x+6y-8x = -8x-54
6y = -8x-54
Divide each side by 6
6y/6 = -8x/6 -54/6
y = -4/3x -9
Answer:
The set of polynomial is Linearly Independent.
Step-by-step explanation:
Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2
To find - Test the set of polynomials for linear independence.
Definition used -
A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.
The set is dependent if the determinant is zero.
Solution -
Given that,
f(x) =7 + x,
g(x) = 7 +x^2,
h(x)=7 - x + x^2
Now,
We can also write them as
f(x) = 7 + 1.x + 0.x²
g(x) = 7 + 0.x + 1.x²
h(x) = 7 - 1.x + 1.x²
Now,
The coefficient matrix becomes
A = ![\left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%261%260%5C%5C7%260%261%5C%5C7%26-1%261%5Cend%7Barray%7D%5Cright%5D)
Now,
Det(A) = 7(0 + 1) - 1(7 - 7) + 0
= 7(1) - 1(0)
= 7 - 0 = 7
⇒Det(A) = 7 ≠ 0
As the determinant is non- zero ,
So, The set of polynomial is Linearly Independent.
Answer:
is there any more number because there should a more then one number
* can you write the other number because i can't do it without the number or you can just take the picture of the whole things.
Step-by-step explanation:
I don't know what number 1 and number 2 mean,
3:11
4
5:-3
6:-8
You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.