Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function 
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Answer:34p+16g=208
47p+16g=208
Step-by-step explanation:
Let p=the price of each pound of peaches.
Let g=the price of each pound of grapes.
Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25
Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then
47p+16g=208
34p+45g=192.25
47+16g=208
Then, 15 - x is the distance ran in the second part.
The time, t1, for the first part is t1 = xmi / 8mi/h
The time, t2, for the second part is t2 = (15 - x)mi / 20mi/h
The total time is t1 + t2 = 1.125 h
Then x/8 + (15 - x) / 20 = 1.125
To solve for x, multiply both sides by 40 (this is the least common multiple)
5x + 30 - 2x = 45
3x = 15
to find x divide: 15/3=5
And 15 - x = 10 mi.
First part:
Speed: 8mi/h
Distance: 5 mi
Time: 5mi/8mi/h = 5/8 h = 37.5 minutes
Second part
Speed: 20 mi/h
Distance: 10 mi
Average speed: 15mi/1.125h =13.33 mi/h
Distance: 15mi
Time: 1.125 h = 67.5 minutes
Answer: B. Blind experiment
Step-by-step explanation: While conducting an experiment, experimenters may aim to eliminate factors which are very likely to cause bias and hence affect the veracity of the study. In the scenario above, the participants of the study (coworkers) were only provided with samples of the two coffee types without any of them knowing if it was the coffee they drank now or the new coffee brand. Hence, withholding such information from the participant is a technique in experimenting called blinding. Because, the information could affect the outcome and hence objective of the study as the participants were already partial towards the present coffee being consumed.
