Answer:
- 3x² is a term in the numerator
- x + 1 is a common factor
- The denominator has 3 terms
Step-by-step explanation:
You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.
When you factor the expression, you get ...

This reveals a common factor of x+1.
So, the above three observations are true of this rational expression.
To add and get the sum
346
421
+152
We start on the ones place 6 + 1 + 2 = 9, the sum of the digits in the ones place is not up to 10, we will not regroup this ones place.
So, basically the answer to 13a is NO.
Since we are not able to regroup the ones place there is no regrouped tens to add, therefore the answer to 13b is also NO.
Next is the tens place, 4 +2 +5 = 11, the sum of the digits in the ones place is up to 10 so we regroup the tens place.
Thus, the answer to 13c is YES.
Since, we regrouped the ones place, we add the regrouped hundred, thus the answer to 13d is YES.
Finally, for the hundred place, 1 + 3 + 4 + 1 = 9
Therefore, the sum of
346
421
+ 152
is 919
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
B. Carl's answer is correct but he incorrectly labeled the leg lengths in step 2.