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Y_Kistochka [10]
1 year ago
11

These tables represent a quadratic function with a vertex at (0, -1). What is

Mathematics
1 answer:
Bond [772]1 year ago
5 0

Answer:

B

Step-by-step explanation:

We can notice that based on the given pattern, the average rate of change from x=n to x=n+1, where n \in \mathbb{Z}, is -2n-1.

So, the average rate of change from x=8 to x=9 is -2(8)-1=-17.

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Which scenario could be represented by the given graph?
Alex Ar [27]

Answer:

Choice D

Step-by-step explanation:

The distance increases at a steady rate from time = 0 to time = 1.

Then no progress is made between time  = 1 and time = 2.

Then the distance increases at the same steady rate from time =2 to time = 3.

Finally, no progress is made between time = 3 and the end of the graph.

Eliminate Choices A, B and C immediately, because none of these scenarios involves a stop and wait.

That leaves only Choice D as a reasonable verbal description of what's happening here.

5 0
3 years ago
Read 2 more answers
Lan is buying apples at the farmer's market.
suter [353]
I think you may need a picture; nobody can help if we don’t know the size of the different sizes of the packages (:
6 0
3 years ago
A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
At a school, there are 120 athletes. The ratio of boy athletes to girl athletes is 3:5. How many of the athletes are girls?
FinnZ [79.3K]
There are 75 girls because you add the ratio 3+5 = 8 then divide 120 by 8 to get 15 then there are 5 lots of girls so multiply 15 x 5 to get 75

hope this helps !
5 0
3 years ago
Anil completes the 72km journey between Bristol and Cardiff in 48 minutes.
eimsori [14]

total distance travelled=72+69=141

time taken in hours for journey= (48/60)h + (69/60)= 1.95 h

average speed=141km/1.95h= 72.3km/h (3 sf)

5 0
3 years ago
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