We can also think of this problem as f(x) + g(x). Therefore, all we need to do is add the two functions together.
x + 4 + 3x^2 - 8 || Write it out!
3x^2 + x + 4 - 8 || Rearrange in order of decreasing exponents. No need to combine and rearrange all at once!
3x^2 + x - 4 || Combine like terms!
Hope this helps!! :)
Sarah is selling bracelets. The inequalities are a > 10 and 2a + 3b ≥ 60.
<u>Solution:</u>
Given, Sarah is selling bracelets and earrings to make money for summer vacation.
bracelets cost = $2
earrings cost = $3
She needs to make at least $60.
Sarah knows she will sell more than 10 bracelets.
We have to write inequalities
Now, according to given information,
Total money ≥ $ 60
Money earned from bracelets + money earned by earrings ≥ 60
2 x number of bracelets + 3 x number of earrings ≥ 60
2a + 3b ≥ 60
[ where a is number of bracelets and b is number of earrings]
And, number of bracelets is more than 10 ⇒ a > 10
Hence, the inequalities are a > 10 and 2a + 3b ≥ 60
The perimeter and area of a square of side
are given by the following formulas:

Since we know the perimeter, we can invert the first equation to deduce the side length:

And now that we know the side length, we have to square it to get the area:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140