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3 years ago

Determine the y-intercept of the graph.

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

Answer:

Your y intercept is 1.

Step-by-step explanation:

slope is y2-y1 over x2-x1, or 2.

slope intercept formula is y=mx+b, and if you plug values into formula you get 3=2(1)+b

and if you solve that, 2x1=2, 3-2=1.

then you get 1 as your y intercept.

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Is 0.245245245... a rational or irrational number?

Katen [24]

It is Irrational because is can not be written as a fraction

3 0

3 years ago

What is the value of the y coordinate of any point on the x axis?

Leona [35]

The value of the y coordinate of any point on the x axis is always 0.

<u><em>Explanation</em></u>

Suppose, the co ordinate of any point is $(a,b)$ .

It means, the distance of the point from x-axis is ' $b$ ' and distance from y-axis is ' $a$ '.

Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of ' $b$ ' will be 0.

So, the value of the y coordinate of any point on the x axis is always 0.

5 0

3 years ago

What is the range of the function y= -|x|

Katen [24]

Hello, again!!

So, the range is the outcome when you plug in any x. In other words, the y.
Because this is absolute value, the x will turn positive. However, the number will then turn negative.
Therefore, y will ALWAYS be negative.

The answer is C.

Hope this helps!! Let me know if you have ANY questions.

4 0

3 years ago

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$