Answer:
x < -12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-6x > 72
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide -6 on both sides: x < -12
Here we see that any value <em>x</em> smaller than -12 would work as a solution to the inequality.
Step-by-step explanation:
step 1. use Foil to multiply the polynomials.
step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.
step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.
step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.
Answer:
![1 \frac{1}{6}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
![\frac{3}{4}+ \frac{5}{12} =?\\](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2B%20%5Cfrac%7B5%7D%7B12%7D%20%3D%3F%5C%5C)
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
×
+
×![\frac{1}{1})=?](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1%7D%29%3D%3F)
Complete the multiplication and the equation becomes
![\frac{9}{12} + \frac{5}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B12%7D%20%2B%20%5Cfrac%7B5%7D%7B12%7D)
The two fractions now have like denominators so you can add the numerators.
![\frac{9+5}{12} = \frac{14}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B9%2B5%7D%7B12%7D%20%3D%20%5Cfrac%7B14%7D%7B12%7D)
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using
GCF(14,12) = 2
14÷2 / 12÷2 =7/6
The fraction
7/6
is the same as
7÷6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= ![1 \frac{1}{6}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B6%7D)
Therefore:
3/4 − (−5/12) = ![1 \frac{1}{6}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B6%7D)
Solution by Formulas
Apply the fractions formula for subtraction, to
3/4 − (−5/12)
and solve
(3×12) − (−5×4) 4×12
=3/6− (−20/48)
=56/48
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8
56÷8 / 48÷8 =7/6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= ![1 \frac{1}{6}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B6%7D)
Therefore:
3/4 − (-5/12) = ![1 \frac{1}{6}](https://tex.z-dn.net/?f=1%20%5Cfrac%7B1%7D%7B6%7D)
Answer:
A. Undefined.
Step-by-step explanation:
There is no real square root of a negative number.