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3 years ago

A system of 3 linear equations in 3 variables is consistent and independent. How many solutions to the system exist

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

5 0

Answer:

One solution

Step-by-step explanation:

By definition:

A system of linear equations is classified according to the number of solutions such as:

* Consistent: If the system has at least one solution.

* Inconsistent: If the system has no solution

Then, the systems of consistent linear equations are classified as:

* Independent: If the system has only one solution

* Dependents: If the system has endless solutions.

Thus. A consistent and independent system of equations has only one solution

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steposvetlana [31]

1n=n Answer:

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3 years ago

HELP!! ASAP!!! WILL BE MARK AS BRAINLEST!!!!! :)

klemol [59]

Answer:

y=8x

Step-by-step explanation:

an equation follows the structure of y=mx+b where m is the slope and b is the y-intercept for this line the y intercept is 0 so you dont have to include it in your equation and the slope = rise over run so 8/1=the slope if you put it into an equation the answer is y=8x

8 0

3 years ago

Read 2 more answers

Can someone please show me the steps in finding the answers to these two problems ?

ratelena [41]

Answer:

y = 8^(x-1)
x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

2) This equation is of the form ...

k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

9x = 6³ = 216

Now, you can divide by 9 to find x:

x = 216/9

x = 24

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3 years ago

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4. Eva saves $60 each week. Since she needs to save at least $2,400 to go on a trip to Europe, she will need to

Anon25 [30]

Answer:

where is the question so that I can solve it

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3 years ago

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A kite flying in the air has a 12 line attached to it. Its line is pulled taut and casts a 9 shadow. Find the height of the kite

alexira [117]

Answer:

8 (7.94)

Step-by-step explanation:

You can think of it as a geometry problem.

What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).

What you need to find is the height. We will call it H.

As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:

H^2 + 9^2 = 12^2

H^2 + 81= 144

H^2 = 63

Applying squared root in both sides

H = √63

H = 7,94

So, the height is approximately 8.

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3 years ago