Please help!!!! I need to get this right for a good grade!

saveliy_v [14]

Answer:

Step-by-step explanation:

The first thing you have to do is look at the mother curve. That curve is y = 1/x

It becomes undefined at x = 0 (I will show both curves below).

That is not what has been given. The graph you have been given becomes undefined at x = - 1 , so the equation of the curve (so far) y = 1/(x + 1)

Now we have to worry about the y intercept. When x = 0, y = 4. That can be accomplished in two ways

A. y = 4/(x + 1) or

B. y = 2/(x + 1) + 2 or

C. y = 1/(x + 1) + 3

All three of these will give a value of y = 4 when x = 0. But you have 1 problem left. What happens as x goes to say 5.

The value of A will give y = 4/(5 + 1)=4/6 = 2/3. Which does not work.

The value of C will give y = 1/(5 + 1) + 3 which gives 3 1/5 which also does not work.

Only B works. y = 2/(5+1) + 2 = 2/6 + 2 = 2 1/3 which is a little above the horizontal asymptote.

Red: y = 1/x

Blue: y = 2/(x + 1) + 2

The value at the end is never going to change. y will always be just a bit

7 0

3 years ago

Answers here or on your

AleksandrR [38]

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.

6 0

3 years ago

Given a function described as equation y =3x+4 ,what is y when x is 1,2,3

belka [17]

Answer:

When x =1, y = 3(1) + 4 = 7

When x = 2, y = 3(2) + 4 = 10

When x = 3, y = 3(3) + 4 = 13

5 0

2 years ago

Please help I'm having a small brain moment

ahrayia [7]

Answer:

Option 4: r ≥ 6

Step-by-step explanation:

5(6+3r) + 7 ≥ 127

30 + 15r + 7 ≥ 127

37 + 15r ≥ 127

15r ≥ 90

r ≥ 6

5 0

3 years ago

The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the

omeli [17]

Given:

The volume of the rectangular prism is

$b^{3}+8 b^{2} +19b+12$ ,

the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be $(mb^{2}+nb+k)$

2

$b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)$

notice that $b^{3}$ is the product of the largest 2 terms: $mb^{2}$ and b, so m must be 1

also, notice that 12 is the product of the constants, k and 3

so k*3=12, this means k=4

3
we write the above equality again:

$b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)$

$(b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12$

= $= b^{3}+(n+3)b^{2}+(3n+4)b+12$

4
now compare the coefficient with the left side:

$8 b^{2}=(n+3)b^{2}$

8=n+3

n=5

substituting n=5:

the base area is $b^{2}+5b+4$

Answer: $b^{2}+5b+4$

3 0

3 years ago