The tape diagram represents the ratio of the numbers of planets in two different solar systems. There are 8 planets in Solar System B. How many planets are in Solar System A?

The correct answer is 6 planets

Explanation:

The image presented shows the ratio of planets in solar system A vs those in solar system B. In this way, the general ratio is 3 : 4 or 3 to 4; this means for each 4 four planets in solar system B there are 3 planets in solar system A and vice versa. Now, to find the total of planets in system A if there are 8 planets in system B, follow this process:

8 planets / 4 = 2 planets - This means each of the sections in the diagram represents 2 planets

2 section x 3 = 6 planets as in the solar system A there are 3 sections and each of this represents 2 planets, the total of planets in this system are 6

This result can also be found by converting the ratio to a fraction and multiplying this by the 8 planets

8 planets x

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2