I think you may have forgotten to attach the actual problem
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
Answer:
C. -3 < x _<_ 2
Step-by-step explanation:
So, the number line shows that the mark on -3 is empty, showing that x CAN NOT be equal to -3. But, the mark on 2 is filled in, meaning x CAN be equal to 2, but not higher than 2.
The answer choices are in cubic inches, so convert the dimension that is given as feet into inches.
1 foot = 12 inches, so multiply 3.1 feet by 12:
3.1 x 12 = 37.2 inches.
Now multiply the three dimensions to find the volume:
15 x 37.2 x 7 = 3,906 in^3
