Answer:
Step-by-step explanation:
The given Equation is
.................(i)
Adding ( 
) on both sides of (i)
solving and cancelling out the terms will give
⇒ 
⇒ 
...................(ii)
Now we Know that
Applying this on equation (ii)
This will lead us to
Either 2x-3 =0 .......(iii) or 2x+3=0 ..........(iv)
Solving equation (iii) for value of x
2x - 3 =0
adding 3 on both sides
2x -3 +3 = 0+ 3
2x = 3
Cross multiplying gives
Solving equation (iv) for value of x
2x + 3 =0
adding -3 on both sides
2x -3 +3 = 0- 3
2x = -3
Cross multiplying gives
so and
Answer:
C. If I lower my grades then I work alone
Step-by-step explanation:
In logic, the contrapositive of a conditional statement, 
is 
.
In other words, the contrapositive of "If P then Q" is "If not Q, then not P".
The given conditional statement is:
"If I form a study group then I raise my grades."
We can break this conditional statement into the following propositional statements:
P : I form a study group
¬P : I work alone
Q : I raise my grades
¬Q : I lower my grades
The contrapositive of "If I form a study group then I raise my grades." becomes:
" If I lower my grades then I work alone"
The correct choice is C
11 a. Since she runs 10km in one hour she runs 5km in half an hour and 25km in 2 and a half hours
11b. Since she runs 5 miles in one hour she runs 2.5 miles in half an hour and 12.5 mils in 2 and a half hours
11 c. Since 1.60934 kilometers = 1 mile, Clair ran the farther distance
12 a. 13.20/6 = 2.2 dollars for 1 bowl
12 b. 9/3 = 3 and if he got 3 sets of 3 free bowls he bought 24 pairs of glasses
12 c. If Malcom bought 24 pairs of glasses 24*1.80 = 43.2, so he spent 43.2 dollars on glasses
13 a. 6 to 4 or 6:4
Is the question what c is?
if so just subtract 3 from 10
3-10 = -7
therefore c = -7
hope that helps :)
