<span>( 9 + 2 i ) ( 3 − 5 i ) − ( 9 + i ) ( 3 − 5 i )
FOIL
i x i = -1
(27 + 6i - 45i +10) - (27 +3i - 45i +5)
Combine like terms and distribute the negative
37 - 39i + 42i - 32
3i + 5
This is the farthest I could go with it. Assuming you were looking for a simplification though you did not specify your desired answer's criteria. Hope this helped!</span>
Answer:
Aidan can expect to save about $17.63 each week.
Step-by-step explanation:
We have an equation: y = 17.63x + 27.52. This equation is in <em>slope-intercept form</em>. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.
Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent <em>total amount saved</em>, and our x-values represent <em>number of weeks</em>. Y over x... so, total amount saved over a certain number of weeks.
The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)
be sure to use PEMDAS so first use the distributive property then work your way from there.
Answer:
d.) Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft times 3 ft times 3 ft. A prism with those dimensions will take 27 cubes to fill it, if each cube is a unit cube of 1 ft³.
Step-by-step explanation:
There are (3 ft)(3 ft) = 9 ft² in one square yard. To find the volume of a cubic yard, you need to multiply that by 3 ft again: (9 ft²)(3 ft) = 27 ft³.
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<em>Additional comment</em>
For many problems involving units, I like to keep the units with the numbers. That helps ensure the math is done correctly. In this problem, simply multiplying ft by ft gives ft^2, not ft^3, so you know right away that you haven't computed volume correctly.
Answer:54
Step-by-step explanation:
9*6=54
