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sattari [20]
3 years ago
10

F(x)=x^2. what is g(x)?

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

C

Step-by-step explanation:

g(x) = 4x²

g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:

g(1) = 4(1)² = 4

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How to determine if the columns of a matrix are linearly independent?
astra-53 [7]
Let's consider an arbitrary 2x2 matrix as an example,

\mathbf A=\begin{bmatrix}\mathbf x&\mathbf y\end{bmatrix}=\begin{bmatrix}x_1&y_1\\x_2&y_2\end{bmatrix}

The columns of \mathbf A are linearly independent if and only if the column vectors \mathbf x,\mathbf y are linearly independent.

This is the case if the only way we can make a linear combination of \mathbf x,\mathbf y reduce to the zero vector is to multiply the vectors by 0; that is,

c_1\mathbf x+c_2\mathbf y=\mathbf 0

only by letting c_1=c_2=0.

A more concrete example: suppose

\mathbf A=\begin{bmatrix}1&2\\4&8\end{bmatrix}

Here, \mathbf x=\begin{bmatrix}1\\4\end{bmatrix} and \amthbf y=\begin{bmatrix}2\\8\end{bmatrix}. Notice that we can get the zero vector by taking c_1=-2 and c_2=1:

-2\begin{bmatrix}1\\4\end{bmatrix}+\begin{bmatrix}2\\8\end{bmatrix}=\begin{bmatrix}-2+2\\-8+8\end{bmatrix}=\mathbf 0

so the columns of \mathbf A are not linearly independent, or linearly dependent.
8 0
3 years ago
I am pretty sure I know the answer but I need to be certain. Please answer and give explanation if possible.
creativ13 [48]

Answer:

Vertical opposite angles are the same so the answer is D.

8 0
3 years ago
How do you completely factor:<br><br> 2x^3 – 5x^2 – 22x + 55
DochEvi [55]

Answer:(X^2-11)(2X-5)

Step-by-step explanation:

2x^3-5x^2-22x+55

x^2(2x-5)-11(2x-5)

(X^2-11)(2X-5)

8 0
3 years ago
What is the solution for <br> x+y&gt;2<br> 2x-y&gt;1
blagie [28]

Answer:

x>1 and y>1

Step-by-step explanation:

x+y>2....... (i)

2x-y>1...... (ii)

Adding equations (i) and (ii),

x+y+2x-y>2+1

3x>3

x>3/3

x>1.

Putting the value of x in equation (i),

1+y>2

y>2-1

y>1.

3 0
3 years ago
Evaluate the expression. If necessary, round to the nearest hundredth. lne
Kobotan [32]
Lne equals 1 because they cancel each other out. e is the base of ln. 
For example: log has a base of 10, log10 = 1
5 0
3 years ago
Read 2 more answers
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