Answer:
Step-by-step explanation:
1000*(1+8:100)^3=1000*1 ,08^3=1000*1,259712=1259,712
F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
M + b = 67
b = 4m - 8
m + 4m - 8 = 67
5m - 8 = 67
5m = 67 + 8
5m = 75
m = 75/5
m = 15 <=== Maggie's age
b = 4m - 8
b = 4(15) - 8
b = 60 - 8
b = 52.....her brother is 52
Suppose s and h are the mileage numbers for the SUV and Hybrid, respectively. Then if each vehicle drives 1 mile, the total gas consumption is
.. 1/s +1/h
Then the combined mileage is
.. 2/(1/s +1/h) = 2sh/(s+h)
Option 1: s=12, h=60
.. mpg = 2*12*60/(12+60) = 20
Option 2: s=11, h=75
.. mpg = 2*11*75/(11 +75) = 1650/86 ≈ 19.2
In summary,
.. Option 1: 20.0 mpg
.. Option 2: 19.2 mpg
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It usually works out best to increase the efficiency of the least-efficient contributor, as here.
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement: 2(−5) − 10 = 2(0). To solve this system, try rewriting the first equation as x = 2y − 8. Then substitute 2y − 8 in for x in the second equation, and solve for y. The correct answer is x = −2, y = 3.
