ANSWER
EXPLANATION
The vertex of the graph is at
The equation of the graph in vertex form is given by the formula,
The above graph has a minimum point, hence
When we put these values into the equation we obtain,
This implies that,
The point (-2,0) lies on the line.
The correct answer is D.
Remark
Without being given choices, we can get answers but they may not be listed among your. The important think is to be working in the same units
Convert miles/hour to m/sec
Now just multiply all the numerators together and divide by all the denominators.
<em><u>Numerators:</u></em> 2.5 * 1.6 * 1000 = 4000
<em><u>Denominators:</u></em> 3600
numerator/denominator = 4000/3600 m/s = 1.111 m/s
Conclusion
Talia is a much faster swimmer than Alina because 1.8 is greater than 1.11. Both numbers are in m/s.
2.5 miles / hour = 1.
(a) Using Newton's Law of Cooling,
, we have
where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get
. Integrate both sides to get
.
Since
, we solve for C:
So we get
. Use T(30) = 150 to solve for k:
So
But choose Positive because T > 75. Temp of turkey can't go under.
(b)
Dogs of the AMS.
Answer:
The given Divisor = 21 and Dividend = 91403
43522191403847463110105534211
The Quotient is 4352 and the Remainder is 11
To find the decimal value, we must convert 1/2 and 3/4 into decimal.
1/2=0.5
3/4=0.75
Now we just have choose a random decimal in between the decimal.
Let's choose 0.6
Now we have to convert the decimal into a fraction. So we'll multiply the decimal by100.
0.6×100=60
Then we make the 60 into a fractions. 60/100
Then we'll simply the fraction. 60/100÷10=6/10÷2=3/5
There you go. You have your answer.