Answer:
4x² - x - 1
Step-by-step explanation:
(f - g)(x) = f(x) - g(x) , thus
f(x) - g(x)
= 4x² - (x + 1) ← distribute parenthesis by - 1
= 4x² - x - 1
For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:

The solution to the system of inequations is given by the shaded region.
Note: see attached image.
Answer:
x = ![\frac{\sqrt[3]{468}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B468%7D%7D%7B6%7D)
or x =~ -1.29399
Step-by-step explanation:
Calculate the product. x^2 * 6x = 6x^3
divide both sides by 6. x^3 = -13/6
Take the root of both sides. x = ![\frac{\sqrt[3]{468}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B468%7D%7D%7B6%7D)
Answer:
B. 4
Step-by-step explanation:
Rearrange the equation so that is in the form (ax² + bx + c = 0).
6x² - 3x + 36 = 5x² + 10x
x² - 3x + 36 = 10x
x² - 13x + 36 = 0
Now, factor the equation and solve for x.
x² - 13x + 36 = 0
(x - 4)(x - 9) = 0
x - 4 = 0
x = 4
x - 9 = 0
x = 9
The solutions to the equation are 4 and 9. The correct answer choice is B.
Answer:
2 5/8 ounces of juice are left.
Step-by-step explanation:
6 3/8 - 3 6/8 =
- 51/8 - 30/8 (Converted into improper fractions.)
- 51/8 - 30/8 = 21/8
- 21/8 = 2 5/8 (Converted improper fraction into a mixed fraction.)