Answer:
b)
Step-by-step explanation:
n²+n-42=0
Using mid-term break
n²+7n-6n-42=0
n(n+7)-6(n+7)=0
(n-6)(n+7)=0
Either,
n-6=0 OR n+7=0
n=6 OR n= -7
Answer:
<h2>
43°</h2>
Step-by-step explanation:
The sum of measures of angles in triangle is 180°, so the measure of the ohter acute angle:
180° - 90° - 47° = 43°
The original price was 100% and the sale was -25%
100% - 25% = 75%
This means 75% = £33
75% = 3/4
If we divide the sale amount by 3 and them multiply by 4, we will get the original amount.
£33 / 3 = £11
£11 x 4 = £44
Answer:
Step-by-step explanation:
Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.
Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.
Total gallons
Alcohol content in the total mixture 

b) Two equations are

c) This is of the form Ax = B
where A =![\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C12%264%5Cend%7Barray%7D%5Cright%5D)
Inverse is ![\frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4-12%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-1%5C%5C-12%2612%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cfrac%7B-1%7D%7B8%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-1%5C%5C-12%2612%5Cend%7Barray%7D%5Cright%5D%5C%5C)
Solution set is A inverse *B
= 
That would be M = 30G where M is in miles and G is in gallons.