Which function is represented by the graph?
2 answers:
Answer:
the required function would be:
Step-by-step explanation:
We have given four different functions and a graph we need to check which one options matches with the graph
We have parent function absolute function and 4 units shifted to right that means -4 should be there.
Hence, the required function would be:
Here x-intercept is 4.
Option 4th is correct.
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9514 1404 393
Answer:
47
Step-by-step explanation:
Evaluate the functions and find the required difference.
f(-2) = -(-2)^2 -7(-2) +4 = -4 +14 +4 = 14
g(6) = -5(6) -3 = -33
Then the difference is ...
f(-2) -g(6) = 14 -(-33) = 14 +33 = 47
Answer:
30500 = 3.05·10^4
Step-by-step explanation:
Your calculator can do this for you. You may need to set the display to scientific notation, if that's the form of the answer you want.
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This can be computed by converting both numbers to standard form:
(5·10^2) +(3·10^4)
= 500 +30000 = 30500 = 3.05·10^4
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Addition of numbers in scientific notation in general requires that they have the same power of 10. It may be convenient to convert both numbers to the highest power of 10.
5·10^2 + 3·10^4
= 0.05·10^4 +3·10^4 . . . . now both have multipliers of 10^4
= (0.05 +3)·10^4
= 3.05·10^4
Answer:
0.66
Step-by-step explanation:
The exponential growth equation is expressed as;
S(t) = S0e^kt
S(t) is the number of stores after t years
S0 is the initial number of stores
If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;
2 = S0e^k(1)
2 = S0e^k .... 1
Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;
206 = S0e^k(1)
206 = S0e^8k .... 2
Next is to calculate the value of k
Divide equation 2 by 1;
Hence the value of k to the nearest hundredth is 0.66