Answer:
<em>The correct option is: D) S(a) = 2.00a + 100.00; shift 50 units up</em>
Step-by-step explanation:
The rent for an apartment is represented by
Now, the rent increases by $50.00 when the apartment is furnished. So, the rent of a furnished apartment will be: 
Thus the new function will be: 
<u>As the output of the original function is increased by 50.00, so the graph of the original function will shift 50 units upward</u>.
Hope this helps!
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Answer:
Sipho catches up Jabu at 6:30 pm
Step-by-step explanation:
Jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h.
At 8:30 am, when Sipho leaves, we will have traveled 2.5 hours at 80 km/h, so he will be 80*2.5 = 200 km ahead.
From then, his position will be given by:

Sipho left town A to travel to town B. He drove at an average speed of 100 km/h.
His position will be given by:

At what time will Sipho catch up jabu?
He will catch up in t hours, and t is found when:

So



He will catch up 10 hours after 8:30 am, that is, 6:30 pm.
Sipho catches up Jabu at 6:30 pm
Mean: average of the numbers. Add them up, divide by how many numbers/entries there are.
-2 + -1 + 0 + 0 + 0 + 0 + 2 + 4 = 3
3 divided by 8 = 0.375
Your mean is 0.375
Median: write the data in numerical order, find the middle number.
-2, -1, 0, 0, 0, 0, 2, 4
In this data set, there are an even number of entries, so we average the middle two numbers. Thankfully, here, the middle two are the same, so your median is 0.
Mode: the number that appears the most often in the data set
Your mode is also 0, because there are more zeroes than any other number in the data set.
Range: the distance on a number line between the highest and lowest number.
The distance between -2 and 4 is 6.4 - (-2) = 6
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Answer:
DBC = 75
Step-by-step explanation:
ABD and DBC are supplementary angles. They add to 180 degrees.
ABD + DBC = 180
105 + DBC = 180
Subtract 105 from each side
105-105 + DBC = 180-105
DBC = 75