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m_a_m_a [10]
3 years ago
15

How will the graph of f(x) = 2(34) + 2 be different from g(x) = 2(34)

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

One graph will be 2 units higher up the y-axis than the other.

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What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
You purchased a vehicle for 32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you
Len [333]

Answer:

F = $11,421.90

Final value after 5 years F = $11,421.90

Complete question;

You purchased a vehicle for $32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you finally have it paid off

Step-by-step explanation:

Given;

Initial value P = $32,000

Depreciation rate r = 18.62% = 0.1862

Time t = 5

Final value = F

Using the compound depreciation formula;

F = P(1 - r)^t

Substituting the values;

F = $32,000(1 - 0.1862)^5

F = $11,421.90

Final value F = $11,421.90

8 0
3 years ago
Read 2 more answers
in a triple batch of spice mix, there are 15 teaspoons of salt and 6 teaspoons of garlic powder. how much salt is used with 8 te
NISA [10]

Answer: I would say 24 manybe...I might be wrong

Step-by-step explanation:

6 0
2 years ago
A solid aluminum cube has sides each of length l . A second cube of the same material has sides four times the length of the fir
timofeeve [1]
The formula to find the volume of cube

cube = s^3

Therefore volume is equal to I^3

The second cube has 4x the First cube

4 × (I^3) = 4 ×I^3

Total volume of the second cube= 4I^3 cm3

Fact: the density(mass ÷ volume) of aluminium is 2.40g/cm3

Making mass the subject of the formula:

D = M ÷ V
(Times volume to remove deno minator)

Mass = Density × Volume

Mass = 2.40 × 4I ^3

Mass = 8.40I^3

By physics

weight= m × g

where
M = mass
g = acceleration due to gravity (= 9.8)

W = 8.40 I^3 × 9.8

Weight of aluminium = 82.32I^3
3 0
3 years ago
Given cos 0 = 1/6 and angle 0 is in Quadrant IV, what is the exact value of sin 0 in
Vinil7 [7]

cos 0 = 1/6

1 - cos²0 = sin²0

sin²0 = 35/36

in quadrant IV (4) the cos is positive sin is negative.

sin0 = - √35/6

4 0
2 years ago
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