Answer:
1) 3
2) B
3) B
4) x=-1
Step-by-step explanation:
1) The graph of 
is replaced by the graph of 
If g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3.
2) Consider the function 
Note that 
Then
3) The y-intercept of f(x) is point (0,-6), because 
The y-intercept of g(x) is point (0,-3). Then the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
4) From the first equation 
Substitute it into the second equation:
Then 
Answer:
21 containers
Step-by-step explanation:
We are dividing 8kg by 3/8kg
Since the largest whole number in the result is 21, this means the Mrs Lee can fill 21 containfers fully with 3/8kg of rice
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Answer:
0.54723 divided by 2 = 0.273615
Step-by-step explanation:
0.54723/2 = 0.273615
There is not much to show regarding steps, but this might help:
Dividing something by 2 means spliting the original value in half. This means that the product of the number of the original value that was divided by two is half of the orginial value. This means that <u>0.273615 + 0.273615 = 0.54723(the original value)</u> because two halves make a whole.
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
