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3 years ago

> Section Exercises 1.4

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

Answer:

2(45#?46698=468(4668)416684=!16684/1395

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What would the following system of equations look like in augmented matrix form?

Nesterboy [21]

Transforming equation systems into matrix form is fairly simple:
each column represents a variable, and each line represents an equation.
So in the first column, the NUMBERS MULTIPLYING by the X variables are put, in the second one the ones multiplying by Y, etc. The constants go after the vertical line, the last column
so we have:
$\left \{ {{x+y=5} \atop {3x-y=-1}} =\{ {{1x+1y=5} \atop {3x+(-1)y=-1}}\right$
So in a matrix, it will be the one on the picture

3 0

3 years ago

The nth term of a sequence is 3n^2- 1

Thepotemich [5.8K]

Answer: The number that belongs to both sequences is 26.

Step-by-step explanation:

We have two sequences, let's call one as A and the other as B.

The n-th term of sequence A is written as:

aₙ = 3*n^2 - 1

the nth term of sequence B is written as:

bₙ = 30 - n^2

We want to find a term that belongs to both sequences, (it can be for different integers, we can use n for sequence A and x for sequence B)

Then we want to find:

aₙ = bₓ

where n and x are integer numbers.

Then we will heave:

3*n^2 - 1 = 30 - x^2

To find the pair, we could isolate one of the variables, then input different integers in the other variable and see if the outcome is also an integer.

Let's isolate n.

3*n^2 = 30 - x^2 + 1

3*n^2 = 31 - x^2

n^2 = (31 - x^2)/3

n = √( (31 - x^2)/3)

Now let's input different values for x, and see if the outcome is also an integer, notice that x is in a negative term inside a square root, then we have only a few values of x such that the equation can be true.

Then let's start with x = 1.

n(1) = √( (31 - 1^2)/3) = √(30/3) = √10

We know that √10 is not an integer.

now with x = 2,

n(2) = √( (31 - 2^2)/3) = √( (31 - 4)/3) = √(27/3) = √9 = 3

then if x = 2, we have n = 3.

Both of them are integers, then we get:

a₂ = 3*(3)^2 - 1 = 27 - 1 = 26

b₃ = 30 - 2^2 = 30 - 4 = 26

The number that belongs to both sequences is 26.

5 0

3 years ago

Express (5a to the power 2) x (2b to the power 2) x (c) as a power of a product.

ella [17]

Answer:

50 a^2 b c^2

Step-by-step explanation:

I'm quite confused about your question, but I try my best. I have attached the explanation above. Hopefully this will help

4 0

3 years ago

Dave has 15$ to spend on an 8$ book and two birthday cards (cl for his friends. how much can he spend on each card if he buys th

vova2212 [387]

X=15

(X-8)/2

Does that work?

6 0

4 years ago

In a boutique, a $14 scarf is marked, "20% off." What is the sale price of the scarf?

liberstina [14]

Answer:

A $14 scarf is marked, "20% off, would have price: 14 x (100 - 20)/100 = 11.2$

Hope this helps!

7 0

3 years ago

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