The expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 12r - 5
A) 6(2r+(-1))+1
= 12r + 6(-1) + 1
= 12r -5
B) -4(2+(-3r))+3
= -8 -4(-3r) + 3
= -5 + 12r
or
= 12r - 5
Thus, the expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.
Learn more about the expression here:
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The easiest way to prove equivalence is to draw out a truth table and then compare the values. I'm going to show a truth table using proposition logic, it's the same result as using predicate logic.
P(x) v Q(x)
P |Q || PvQ || ~Q->P <----Notice how this column matches the PvQ but if you were to
---|---||--------||---------- <----continue the truth table with ~P->Q it would not be equivalent
T T T T
T F T T
F T T T
F F F F
Let me know if you would like an example, if the truth table doesn't help.
Answer:
73 degrees.
Step-by-step explanation:
So, let's see the information provided in the question.
At 8 AM, the thermometer was reading -5 degrees.
At 12:30 PM, the temperature has increased by 11 degrees, so it's now +6 degrees outside.
Inside Susan's house, the temperature is 7 degrees more than 11 times the outside temperature, at 12:30 PM.
So, we know the outside temperature at 12:30 PM is +6 degrees.
11 times 6 = 66 degrees.
Then we add the additional 7 degrees, to get a total of 73 degrees.
283 rounded to the nearest ten is 280
When rounding to the nearest ten look at the number to the right of the place you are rounding. In this case it is the 3. If the number is 5 or higher you go up to the nearest ten. If the number is lower than 5 like it is in this number you round down to the nearest ten.
Answer:
3.5 square cm
Step-by-step explanation:
