Answer:
b.40
Step-by-step explanation:
30 * x = 6 * 200
30x = 1200
40 people are expected
Answer:
98
Step-by-step explanation:
So we have the two functions:
And we want to find the value of r(g(4)).
To do so, first find the value of g(4):
Multiply:
Subtract:
Now, substitute this into r(g(4)):
And substitute this value into r(x):
Square:
Subtract:
Therefore:
Assuming you mean flutes 5: clarinets 4: trumpets 3...
Question 1 Answer: There are <u>36 trumpets</u>
Question 1 Explanation: 60/5=12 (the amount it went up in ratio), then multiply 12 by each of the other ratios. If there are 60 flutes then there are 48 clarinets (4*12) and 36 trumpets (3*12). If you want to check work, you can then divide answer back by 12 and get the ratio again.
Assuming there are no other type of band instruments in Carver's band then...
Question 2 Answer:There are 50 flutes, <u>40 </u>clarinets, and 30 trumpets.
Question 2 Explanation: add the ratio then divide it by the number of band people (5+4+3=12: 120/12=10) this answer is then what you multiply for each ratio. So, flutes 5*10=50, clarinets 4*10=40, trumpets 3*10=30. 50+40+30=120. Therefore, if there are no other type of band instruments in Carver's band there are 40 people who play the clarinet (unless of course some are played by computers/robots or an amazing person can play multiple at a time.
Q1: vertical shift of down 4: Indicated by the subtraction of 4 at the end of the function, and a horizontal shift of 2 unit left as indicated by the addition of 2 to the independent variable "x"
Q2: To stretch a function, you can just multiply it by the desired factor. Thus, the function g(x)=
Q3: g(x) =
Note that the initial point (2,0) has shifted down 1 and to the right 2. Subtracting 2 from x takes care of the horizontal shift of 2 to the right, and subtracting 1 at the end of the function produces a vertical shift of down 1.