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3 years ago

How to determine if set of vectors is linearly independent?

1 answer:

7 0

The vectors $\{v_1,v_2,...,v_p\}\in \mathbb{R}^n$ are linearly independent if the ONLY solution to the following equation:

$c_1v_1+c_2v_2+...c_pv_p=0$

is $c_1=c_2=...=c_p=0$

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2 1 point

mafiozo [28]

Answer:

The graph has a minimum.
The graph has a y-intercept at (0, -3).
The solutions ... are -1 and 3.
The vertex is located at (1, -4).
In the equation, 'a' would be positive.

Step-by-step explanation:

When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.

The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).

The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.

The graph has a minimum.
The graph has a y-intercept at (0, -3).
The solutions ... are -1 and 3.
The vertex is located at (1, -4).
In the equation, 'a' would be positive.

5 0

3 years ago

the daily low temperature readings for a five-day period were as followed -13, -5 ,6, -7, 9 find the average low temperature for

vivado [14]

First add the numbers together:
-13+(-5),6,(-7),9=-10
Then divide that number by the total # of numbers, which is 5
-10÷5=-2

The average low temperature is -2.

...which is 6th grade stuff, so I am having a hard time believing, that you are in college and/or are having problems with this.

4 0

3 years ago

How many kilometres on the ground is represented by 9 cm on the map?

Aloiza [94]

Answer:

22500

Step-by-step explanation:

You have to multiply 9 by 25000.

3 0

3 years ago

The events committee buys 80 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation c

Slav-nsk [51]

Answer:

64 carnations and 16 roses.

Step-by-step explanation:

The events committee buys 80 flowers

The flowers are a combination of carnations and roses.

Each carnation costs $0.50 and each rose costs $2.50

The committee spends a total of $72

Solution:

Let there be (c) carnations and (r) roses.

So,

c + r = 80 flowers

and $0.50c + $2.50 = $72

This forms a simultaneous equation:

c + r = 80 ... (i)

0.5c + 2.5r = 72 ... (ii)

Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;

0.5c + 0.5r = 40 ... (i)

0.5c + 2.5r = 72 ... (ii)

Subtracting (i) from (ii) gives;

0c + 2r = 32

2r = 32

r = 32 ÷ 2 = 16

Therefore, there are 16 roses

and 80 - 16 = 64 carnations

7 0

3 years ago

What is the slope of the line?

Yanka [14]

Answer:

$m=\frac{4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (3, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: $m=\frac{4-0}{3+2}$
Subtract/Add: $m=\frac{4}{5}$

3 0

3 years ago