First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Answer:
12 OR 1/12 (Check how you write your equations! Just look below for the one that it actually is lol)
Step-by-step explanation:
6 = (1/2)n
6/(1/2) = n
12 = n
OR
6 = 1/(2n)
6(2n) = 1
12n = 1
n = 1/12
Answer:No, she does not have enough cups of sugar
Step-by-step explanation:
Sarah needs to make a cake and some cookies. The cake requires 3/4 cups of sugar. If she has 15/16 cups of sugar, then the number of cups of sugar that would be left after making the cake would be
15/16 - 3/4 = (15 - 12)/16 = 1/4
If the cookies require 3/5 cups of sugar, then the cups of sugar that she has won't be enough because
1/4 - 3/5 = (5 - 12)/5 = -7/5 cups
It means that she would need more cups of sugar.
Answer:
Multiple choice questions = 5
True questions = 15
Step-by-step explanation:
Given that:
Total number of questions = 20
Total worth of point = 100
Multiple choice questions (M) = 11 points each
True false questions (T) = 3 points each
Hence,
M + T= 20 ____(1)
11M + 3T = 100 ____(2)
M = 20 - T
Using the relation in (2)
11(20 - T) + 3T= 100
220 - 11T + 3T= 100
220 - 8T = 100
-8Tf = 100 - 220
-8T = - 120
T = 120/8
T = 15
Mc = 20 - 15
Mc = 5
Multiple choice questions = 5
True false questions = 15
