Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
Let's do 51 and 52.
51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.
The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.
Answer: C
52.


For the statement to be true, the exponent must be zero:



Both positive 2 and negative 2 have a square of 4.
Answer: K
By the way, usually we assume
so the restriction that
isn't really necessary. Think of the definition of a polynomial or the binomial expansion:


For these common equalities to work when
we need to define 
Answer:
x = 9.
Step-by-step explanation:
-5 square root x =15
divide both sides by -5:
√x = 15/-5 = -3
Squaring both sides:
x = 9.
To be able to quickly solve this, we can temporarily make 5.47 into 547
Now, we can divide 547 by 12.

Now, we can round up from 45.5 to get 46.
However, we originally moved our decimal 2 places over, so now we must move it 2 places again.
46 ⇒ 0.46
The correct answer is $0.46