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Anarel [89]
4 years ago
12

Pivot the system about the element in row 2, column 1. (Enter the augmented matrix with all cells in their original position.)

Mathematics
1 answer:
liq [111]4 years ago
8 0

Answer:

We have the system

3x+3y=6\\4x+3y=5

The augmented matrix of the system is

A=\left[\begin{array}{ccc}3&3&6\\4&3&5\end{array}\right]

Pivot the system means to use row operations for find the echelon form of the augmented matrix.

Then,

1. In the second row of A we subtract 4/3 from the first row. We obtain:

B=\left[\begin{array}{ccc}3&3&6\\0&-1&-3\end{array}\right]

Then B is the echelon form of A.

We use backward substitution to find the set of solutions.

1.

-y=-3\\y=3

2.

3x+3y=6\\3x+3(3)=6\\x=-1

The system has unique solution (x,y)=(-1,3)

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The equation for the circle is:
ivann1987 [24]
Use completion of sq method
x^2+y^2+14x+10y-7=0
(x+7)^2+(y+5)^2=7+49+25
(x+7)^2+(y+5)^2=81
so centre is(-7,-5) radius is9
4 0
4 years ago
Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began
Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

y = -0.0976(x - 10)^2 + 18, x \geq 0

The graph is given at the end of the answer.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

y = a(x - 10)^2 + 18

Since the initial price was of $8 per share, we have that:

8 = a(0 - 10)^2 + 18

-82a = 8

a = -\frac{8}{82}

a = -0.0976

Hence the equation is:

y = -0.0976(x - 10)^2 + 18, x \geq 0

At the end of the answer, the sketch of the graph is given.

More can be learned about quadratic equations at brainly.com/question/24737967

6 0
3 years ago
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the n
ELEN [110]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

4 0
3 years ago
A falling rock produces a force of 250 Newtons from acceleration due to gravity alone. What is the rock's mass in kilograms? Ent
OlgaM077 [116]

Answer:

Convert 250 Newtons into Kilograms

25.5

7 0
3 years ago
5/12−a+4/15=?−a If this equation has infinitely many solutions, what is the missing value?
Rom4ik [11]
5/12 - a + 4/15
= 25/60 + 16 /60 - a
= 41/60 - a

The missing values is 41/60
5 0
4 years ago
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