All categories

3 years ago

Can you please help with the question c)

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

That certainly seems like a doozy when you read it. But I think it can be handled.

From the tone of your question, and the fact that you appear to have solved
part a) and part b), I'm pretty sure that you have no trouble with a plain old
arithmetic sequence or a plain old geometric sequence. So let's look at the
numerator sequence and denominator sequence of c) separately.

Numerators: 1, 4, 7
Arithmetic sequence. General term = 3n - 2

Denominators: 5, 15, 45
Geometric sequence. General term = 5 x 3^(n-1)
(I always had trouble with these.
That one took me almost 15 minutes.)

So now ! Isn't the general term of the fraction sequence just

 (3n - 2) / [ 5 x 3^(n-1) ] ?

and the 7th term would be

(3x7 - 2) / (5 x 3⁶) = (21 - 2) / (5 x 729) = 19 / 3,645 

Definitely a weird number, but I feel like my approach holds water.
What do you think ?

You might be interested in

Find the equation of the median shown:

qwelly [4]

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

8 0

4 years ago

Show your work and plz help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

AveGali [126]

Answer:

p = 16

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{FD}{HF}$ = $\frac{DE}{FG}$ , substitute values

$\frac{p}{12}$ = $\frac{32}{24}$ ( cross- multiply )

24p = 384 ( divide both sides by 24 )

p = 16

8 0

4 years ago

Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for

USPshnik [31]

$x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}$

$\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}$

6 0

4 years ago

Help me please math

Dominik [7]

13+9=22

5+18=23

22x23=506

½x5x13=32.5

9x5=45

½x9x18=81

506-32.5-45-81=347.5

5 0

3 years ago

Which polynomial is in standard form?

kirill115 [55]

Answer:

$2x^3 +4x^2 -7x+5$

Step-by-step explanation:

Polynomial $2x^3 +4x^2 -7x+5$ is in standard form as it is written in descending order of their powers.

8 0

4 years ago