C. An arithmetic sequence with common difference 6
Answer:
b
Step-by-step explanation:
$5.28 for 3 corn (divide)
the rate per corn is 1.76 ($1.76 for each corn)
the x value is the amount of corn and the y value represents the price for the amount of corn. If you multiply each x value by 1.76 only one will equal the given y value
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
Answer:
A
Step-by-step explanation:
I'm pretty sure some smart guy in Greece noticed this but:
Since 4 + 8 = 12, thats the only option where 2 of the smaller sides add up to the big one. I don't know much of the reasoning behind this but my math teacher showed it to us by using Popsicle sticks to make triangles. You can try it if that helps you think about it. Apparently, if you add up the 2 smaller sides, then it HAS to be more than the biggest side.
Answer:
C. 2x + 6
Step-by-step explanation:
After doing synthetic division (see attached), you get 2, 6, and 0, corresponding to the answer 2x + 6.
