Given the function:
Let's find the amplitude and period of the function.
Apply the general cosine function:
Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:
Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:
Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
The copper wire was 150 meters longer than the steel wire. You take 240-60 and get 180. You can then divide that number by 2 to figure out how long the steel wire was to get 90. From there, subtract the 90 by the original 240 and you’ll get 150.
The answer to this problem= 0
⇒6x + 2 + - 1 - 4x - 3 + - 2x + 2 = 0
⇒2 - 1 - 3 + 2 + 6x + -4x - 2x = 0
⇒1 - 3 + 2 + 6x + -4x - 2x = 0
⇒-2 + 2 + 6x + -4x + -2x = 0
⇒0 + 6x + -4x + -2x = 0
⇒6x - 4x - 2x = 0
⇒2x + -2x = 0
Combine like terms: 2x + -2x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Problem-solving is the definition of the problem. Identify the cause of the problem. Identify, prioritize, and select alternative solutions. and solution implementation. problem-solving process. Troubleshooting resources.
The definition of a problem is something that needs to be resolved or an unpleasant or undesirable condition that needs to be corrected. An example problem is an algebraic equation. An example problem is when it's raining and you don't have an umbrella.
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Answer:
f(x)= -(x^3+10x^2-275x-1500) Standard
f(x)= -(x+20)(x+5)(x-15)
Step-by-step explanation:
The factored form of the equation is:
(x+20)(x+5)(x-15)=f(x) Each of the zeroes are where the graph crosses the x-axis.
The expanded form of the equation is found by using FOIL on the equations above:
-x^3+10x^2-275X-1500
The leading coefficient is negative because the graph rises to the left and falls to the right.
The cost before increase was $550.
Step-by-step explanation:
Given,
Increased price of plane ticket = $616
Increase percent = 12%
Let,
x be the original price of ticket.
Now,
The original price is 100% and 12% is increased, therefore;
New price = (100+12)% = 112%
Thus;
$616 is 112% of x.
112% of x = 616
Dividing both sides by 1.12
The cost before increase was $550.
Keywords: division, percentage
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