Zero product says that if you have
x=0, then the non-zero factors equal zero
so
try to move all to one side to get it to equal zero and factor
4y^3-4=y-16y^2
add 16y^2 to both sides
4y^3+16y^2-4=y
subtract y
4y^3+16y^2-y-4=0
gropu and factor
(4y^3+16y^2)+(-y-4)=0
(4y^2)(y+4)+(-1)(y+4)=0
reverse distribute
ba+ca=a(b+c)
(4y^2-1)(y+4)=0
set each to zero
4y^2-1=0
add 1
4y^2=1
divide by 4
y^2=1/4
square root both sides
y=+/-1/2
y+4=0
minus 4
y=-4
y=-4,-1/2,1/2
answer is A -4,-1/2,1/2
Be observing the table, we can write the following conjecture:
When adding consecutive even numbers, starting from 2 to
.
Then the sum is equal to:
Then, the sum of the first 15 positive even numbers (which is the sum of 2 to 30) can be calculated with the previous conjecture by setting
:
The answer is 240.
Answer:
c(x)=324.
324 is the total price and c would be the cost of the tickets times x which is the number of tickets.
Answer 1
1/46 = 2/92 = 3/138
Answer 2
x = -7
Answer 3
40
Answer:
The cost of direct labor (in $s) is<u> $7.85</u> per unit.
Step-by-step explanation:
First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216
Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192
Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408
Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85
Therefore, the cost of direct labor (in $s) is<u> $7.85</u> per unit.
