Which classification describes the system of linear equations?

Mathematics

1 answer:

Aleksandr [31]1 year ago

3 0

Answer:

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent .

Step-by-step explanation:

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The nth term of a sequence is 3n+5 to the 6th terms sequence

Maslowich

Answer:

Hey!

The 6th term of your sequence is 23!

Step-by-step explanation:

1) T6=3n+5 (the 6th term and the equation...)

2. We now do T6=3(6)+5 (3 x 6 then add 5)

3. In other words... T6=18+5

4. We work it out 18 + 5 = 23

HOPE THIS HELPS!!

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7 0

3 years ago

What is the value of h(a) when a = 2 in the

Ivahew [28]

<h3>Answer: 3</h3>

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Explanation:

This is the given piecewise function

$h(a) = \begin{cases}3a+2 \text{ when } a > 3\\4a+5 \text{ when } a = 3\\3 \text{ when } a < 3\\\end{cases}$

We can rewrite things like this

$\text{when } a > 3, \ \ h(a) = 3a+2\\\text{when } a = 3, \ \ h(a) = 4a+5\\\text{when }a < 3, \ \ h(a) = 3\\$

I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.

The input a = 2 fits the description of $a < 3$ since $2 < 3$ is a true statement. Therefore we go for the third line and can see that $h(a) = 3$ becomes $h(2) = 3$