Answer:
Step-by-step explanation:
(f.g)(x) = (x² - 2x + 3) (x³ - 4)
= x²* (x³ - 4) - 2x* (x³ - 4) + 3 * (x³ - 4)
= x²*x³ - x²*4 - 2x*x³ - 2x*(-4) + 3*x³ - 3 * 4
= x⁵ - 4x² - 2x⁴ + 8x + 3x³ - 12
= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12
9. 12 edges
Work: <u>4</u> horizontal edges on top, <u>4</u> horizontal edges on bottom, <u>4</u> vertical edges for sides
10. Ten-thousands place
Work: The 8 is highlighted. The order of places is: <u>ten-thousands</u>, thousands, hundreds, tens, ones
11. 10 4/5
Work: 54 ÷ 5 ——> 50÷5 = <u>10</u> with 4 left over and put into a fraction of <u>4/5</u>
12. 3,000
Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a <u>3</u>.
13. 0.45
Work: The pattern is +0.03 so 0.42+0.03=<u>0.45</u>
14. 54 cakes
Work: <u>6 eggs</u> per 1 cake • <u>9 cakes</u> = 6•9=54 eggs used
15. 378 desks in the school
Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school
Answer:
7/5
Step-by-step explanation:
1 2/5, a mixed number, is equivalent to 7/5.
Answer:
y = 30x
Step-by-step explanation:
y is the amount of money
30 is the constant, the amount of money she gets per x, month