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3 years ago

The pattern of numbers below is an arithmetic sequence:

Mathematics

2 answers:

oee [108]3 years ago

6 0

Answer:

Option C is correct

Step-by-step explanation:

The common difference is 10,

So, the function is f(n + 1) = f(n) + 10 , where f(1) = 14

The recursive function for the arithmetic sequence is given by:

.....[1]

where d is the common difference of the two consecutive terms.

Given the arithmetic sequence :

14, 24, 34, 44, 54, .......

First term f(1) = 14

Common difference(d) = 10

Since,

24 -14 = 10

34-24 = 10

44-34 = 10 and so on....

Substitute d = 4 in [1], we have;

Therefore, the recursive function used to generate the sequence is,

and f(1) = 10

Lerok [7]3 years ago

6 0

Answer:

C is indeed correct

Step-by-step explanation:

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Which of the equations below could be the equation of this parabola?

Mademuasel [1]

Answer:

Option B: $y = -\frac{1}{2} x^2$

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

$y = ax^2 + bx + c$

With a negative value of 'a'

The vertex is (0,0), so we have that:

$0 = 0a + 0b + c$

$c = 0$

The x-coordinate of the vertex is given by the equation:

$x\_vertex = -b/2a$

$-b/2a = 0$

$b = 0$

So we have a function in the model:

$y = ax^2$

With a < 0

The only option with this format is B:

$y = -\frac{1}{2} x^2$

7 0

3 years ago

How can you generate x-3y+5 from the expression x+y+4+2y+1

vladimir2022 [97]

Answer: Here is the explanation. also it it +3y not -3y

Step-by-step explanation:

x+y+4+2y+1=x+3y+5 because

2y+y=3y

so now you have x+3y+4+1

4+1=5

now you have: x+3y+5

if you do not understand, What i am trying to say is, you need to add all of the same things.

3 0

3 years ago

How to graph -x + 2y = 6

larisa86 [58]

In order to graph the equation, you need some coordinates,
So, put x = 0,
2y = 6. y = 3. Coordinate = (0, 3)

Now, put y = 0,
-x = 6
x = -6 Coordinate (-6, 0)

In short, Just mark that two points and draw a line, graph is done

Hope this helps!

3 0

3 years ago

4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her

Vinvika [58]

Answer:

She did not consider the multiplicative inverse property of a real number

Step-by-step explanation:

Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.

Let x be an irrational number.

So, $x.\frac{1}{x}= 1$

If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.

5 0

3 years ago

After a 40% discount, the cost of a sofa is $471.00. What was the original cost of the sofa? NEED HELP ASAP

statuscvo [17]

Answer: $659.40

Step-by-step explanation: You start with 471.00 X 0.4 which equals $188.40. So then you add $471.00 and $188.40 and you get $659.40!

5 0

3 years ago