On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar
e true about the temperatures Luis recorded on the graph? Select THREE answers.
2 answers:
Answer:
TRUE STATEMENTS ARE:
"The temperature rose up until 4:00 p.m."
"After 6:00 p.m., the temperature dropped."
"Between 12:00 p.m. and 4:00 p.m., the temperature went up more rapidly than before 12:00 p.m."
Step-by-step explanation:
Graph and question shown below:
Which of these statements about temperatures recorded by Luis on the graph are true? Select all that apply.
- The temperature rose until 4:00 p.m.
- Temperature was not recorded between 4:00 p.m. and 6:00 p.m.
- The temperature dropped after 6:00 p.m.
- Temperature first rose then fell before staying steady.
- The temperature rose more steeply from 12:00 p.m. to 4:00 p.m. than earlier.
Up to 16:00 hours (4 p.m.), the graph climbs, so temperature increased until 4 p.m. (FIRST TRUE).
Between 16:00 and 18:00 hours (4 to 6 p.m.), the temperature remains constant (flat line), so it was recorded during that time (SECOND FALSE).
After 18:00 hours (6 p.m.), the line slopes downwards, showing temperature went down (THIRD TRUE).
Since temperature only rose and then dropped after holding steady, and not rose then fell constantly, the fourth option is not true (FOURTH FALSE).
Before 12:00, temperature grows at a gentler rate than between 12:00 and 4:00 p.m., indicating a faster rise in the latter interval (FIFTH TRUE).
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Step-by-step explanation:
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Solution:
We know, g(x) = f(x) + k --------(1)
It is given that f(x) = (x+2)
and g(x) = (x+5)
Substituting f(x) and g(x) into equation (1):
→ (x+5) =
(x+2) + k
→ = k
→ k =
Thus, the value of k is 1.