HELP I DONT UNDERSTAND :(
1 answer:
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The given Angles (4x + 2) and (3x + 3) are forming linear pair, so
now, let's find Angle DCB :
Answer:
3. f(x) = 5^x
4. f(x) = 3 (8)^x
Step-by-step explanation:
3. Which function represents the data 2=>25, 3=>125, 4 =>625
You just have to plug the values of x in the equations provided and see which one fit, you stop testing for a given equation when it doesn't match the data table.
f(x) = x^4 + 9 - NO
for x = 2, 2^4 + 9 = 16 + 9 = 25 YES
for x = 3, 3^4 + 9 = 81 + 9 = 90 NO, should be 125
f(x) = 4^x + 9 - NO
for x = 2, 4^2 + 9 = 16 + 9 = 25 YES
for x = 3, 4^3 + 9 = 64 + 9 = 73 NO, should be 125
f(x) = x^5 - NO
for x = 2, 2^5 = 32 NO, should be 25
f(x) = 5^x YES
for x = 2, 5^2 = 25 YES
for x = 3, 5^3 = 125 YES
for x = 4, 5^4 = 625 YES
4. Which of the options is equivalent to f(x) = 3(2)^(3x)
By property of the powers you can easily break down the 3x exponent into a much simpler way.
From (2)^(3x) we got to 8^x, so the equation can now be written:
f(x) = 3 (8)^x, which is the first choice.
You could easily verify it with x = 2 in each equation.
The equation t = 10.5(c + a) represents the total money earned by the company from the sale of tickets
<u>Solution:</u>
Given that,
Ticket charged for people of all age groups = $ 10.50 per ticket
Let "c" represents the total number of children who bought tickets
Let "a" represents the total number of adults who bought tickets
Now, let the total money collect be represented by "t"
Number of people bought tickets = number of children bought tickets + number of adults bought tickets
<em><u>Now the total money earned by company is given as:</u></em>
Total money earned = cost per ticket x number of people bought tickets
Total money collected = cost per ticket x (number of children bought tickets + number of adults bought tickets)
Substituting the known values we get,
t = 10.5(c + a)
Hence, the required equation is t = 10.5(c + a)