HELP PLS NEED THIS ASAP

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

Answer:

Let x = # of commercials

y = # of movies

<u>System of Equations:</u>

x + y = 90

40x + 110y = 500

Step-by-step explanation:

We have to set our variables before we start solving. After setting the variables, we can set up the equations. If x = # of commercials and y = # of movies, then we can assume x + y = 90, as there have been a total of 90 commercials and movies played altogether. Then, we know that their worth is $500, so the price of all the commercials played and the price of all the movies played (which is 40x + 110y) sum to $500.

(I've just answered this question from your previous post. Unless my answer was wrong, I don't see why you would repost the exact same question.)

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eimsori [14]

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densk [106]

Answer:

1) x ≤ 2 or x ≥ 5

2) -6 < x < 2

Step-by-step explanation:

1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:

x^2 - 7x + 10 = (x - 2)(x - 5)

So, we now have (x - 2)(x - 5) ≥ 0

Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).

2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:

x^2 + 4x - 12 = (x + 6)(x - 2)

So now we have (x + 6)(x - 2) < 0

Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).

Hope this helps!