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telo118 [61]
3 years ago
9

Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has

a unique solution, infinitely many solutions, or no solution. 1 2 3 4 5 6 7 6 5 4 3 2 8 8 8 8 8 8
Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:

Infinitely Many Solutions

Step-by-step explanation:

Given

\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]

Required

Determine the type of solution

From the matrix, we have:

3 non-zero rows and 5 variables (the last column is the result)

When the number of variables is more than the number of non-zero rows, then such system has infinitely many solutions

i.e.

Variables > Non\ zero\ rows

5 > 3

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helpp A circle has a diameter of 9.6 feet. What is the measurement of the circumference of this circle? Use 3.14 to approximate
KiRa [710]

Answer:

Around 30.16ft

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9.6≈30.15929ft

5 0
3 years ago
Which Question Has roots of x= -2 and x
vazorg [7]

See explanation below.

Explanation:

The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..

Assume we have some function of a single variable

x

;

we'll call this

f

(

x

)

Then we can form an equation:

f

(

x

)

=

0

Then the "roots" of this equation are all the values of

x

that satisfy that equation. Remember that these values may be real and/or imaginary.

Now, up to this point we have not assumed anything about

f

x

)

. To consider factors, we now need to assume that

f

(

x

)

=

g

(

x

)

⋅

h

(

x

)

.

That is that

f

(

x

)

factorises into some functions

g

(

x

)

×

h

(

x

)

If we recall our equation:

f

(

x

)

=

0

Then we can now say that either

g

(

x

)

=

0

or

h

(

x

)

=

0

.. and thus show the link between the roots and factors of an equation.

[NB: A simple example of these general principles would be where

f

(

x

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is a quadratic function that factorises into two linear factors.

4 0
3 years ago
What is the answer in fraction form: 2(1/3+1/4)
algol13

Answer:

7/6 or 1*1/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In a class of 40 students, 30 read
DIA [1.3K]
Ok so 24 of them and that would be ur answer
6 0
3 years ago
Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔
bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0
3 years ago
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