- Simplify both sides of the equation
=>x+5+4−5=x+54
=>x+5+4+−5=x+54
=>(x)+(5+4+−5)=x+54(Combine Like Terms)
=>x+4=x+54
=>x+4=x+54
- Subtract x from both sides
=>x+4−x=x+54−x
=>4=54
- Subtract 4 from both sides
=>4−4=54−4
=>0=50
The mean of the distribution of the sampling mean is the same as the mean of the population, 18.6.
Answer:
Find the amplitude of a sine or cosine function. Find the period ... Question: What effect will multiplying a trigonometric function by a ... same as the graph of y = sin x and y = cos x, respectively, stretched ... With both graphs to look at, it is easier to see what ... the graph. Question: What happens if we allow the input variable, x. A graph of a cosine curve is shown with attributes labeled. ... Use trigonometric (sine, cosine) functions to model and solve problems; justify results. a) Solve ... Amplitude - How far above or below the axis of the wave a sine or cosine function goes ... Note that the amplitude is always positive, even if the coefficient is negative.
Step-by-step explanation:
Answer:
A: Algebraic Function
Step-by-step explanation:
Algebraic function is given as;
5x – 2y = 15
Since we are dealing with rate of change, let's make y the subject first and find dy/dx.
Thus;
2y = 5x - 15
y = (5x/2) - 15/2
dy/dx = 5/2
dy/dx = 2.5
The verbal function is given as;
Cost of 5 pencils is 15 dollars
Thus, rate of 1 pencil = 15/5 = 3 pencils per dollar
We can see that the lowest rate of change is 2.5 and it is the algebraic function.
Correct Question:
John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.
Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
Total hours = 86
Let t is the hours he spent on tutoring
then (86-t) is hours spent on waiting
Let Y is the total amount in dollars which is required .
Now;
y = (tutoring hours x 12$) + (waiting hours x 8$)
Y = 12t + 8(86-t)
