Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23



To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get


Denominators are same, now add the fractions.

Do cross multiplication.




Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
The first two negatives cancel out and you're left with positive 4. Now go inside the square root and do the exponent. -4*-4 = 16. Then do the -4*3*1 = -12. Do 16-12 = 4. now the square root of 4 = 2. at the dominator is 2*3 = 6. right now they problem should look like 4+- 2/ 6. from there you split the problem in two. so you have 4+2/6 & 4-2/6 then you solve both problems.
6/6 2/6
1 1/3
1 & 1/3 are your answers. I hope this helped!
I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47.
In its current order the answer would be 28.
Given:
Mr. Rodriguez : 6.25
Mrs. R 7.50
2 children @ 4.99 each <u> 9.98</u>
Subtotal: 23.73
Sales tax 7.25% 1.72 *23.73 x 7.25%
Total tip 15% <u> 3.56 </u> *23.73 x 15%
Grand total $29.01
Tips should be applied to pre-tax amount not post-tax. However, some companies compute tip based on post-tax amount. This means that the tip you are paying is computed based on the total amount of the meal as well as the sales tax you paid for the meal.