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VMariaS [17]
1 year ago
11

F(x)=1/3x-2 g(x)=3(x+2)-2what is the transformation that occurs between f(x) and G(x)

Mathematics
1 answer:
Stels [109]1 year ago
4 0

f(x)=\frac{1}{3}x-2,g(x)=3(x+2)-2

Furthermore,

\begin{gathered} \Rightarrow g(x)=3x+6-2=3x+4 \\ \Rightarrow g(x)=3x+4 \end{gathered}

Notice that

\begin{gathered} 9f(x)=3x-18 \\ \Rightarrow9f(x)+22=3x+4=g(x) \\ \Rightarrow9f(x)+22=g(x) \end{gathered}

Therefore, function g(x) is equal to function f(x) if we dilate f(x) by a factor of 9 and shift it 22 units upwards.

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Jack and jill went on their first date to chili's. Their food bill totaled $32.00 plus the 15% tip they needed to pay the waitre
Vlad1618 [11]
A) 15% of $32.00 is $4.80.
B) all together he will be paying $36.80.
i hope this helped, good luck!
5 0
3 years ago
Gage is building a model rocket for a science fair project. He attaches a nosecone to a cylindrical body to form the rocket's fu
denpristay [2]

Answer:

305.78 in2

Step-by-step explanation:

The rocket has two parts: one is a cylinder and the other is a cone.

To find the total volume of the rocket, we need to find firstly the volume of each part.

The cylinder has a radius of 2 inches and a height of 2*12 + 5 - 7 = 22 inches, so its volume is:

V1 = pi * r^2 * h = pi * 2^2 * 22 = 276.46 in2

The cone has a radius of 2 inches and a height of 7 inches, so its volume is:

V2 = (1/3) * pi * r^2 * h = (1/3) * pi * 2^2 * 7 = 29.32 in2

Then, we have that the volume of the rocket is:

V = V1 + V2 = 276.46 + 29.32 = 305.78 in2

3 0
3 years ago
What is the mystery number? It is less then 40. You say its name when you start at 3 and count by 3s.You say its name when you s
wariber [46]

Answer:

The number must be 30.

Step-by-step explanation:

The mystery number is less then 40.

You say its name when you start at 3 and count by 3s. This means that it is a multiple of 3.

You say its name when you start at 5 and count by 5s. This means that it is a multiple of 5.

The only two numbers that are multiples of 3 and 5 and less than 40 are 15 and 30.

Since we have been told that the number is not 15, the number must be 30.

8 0
3 years ago
What is the value of (–7 + 3i) – (2 – 6i)?<br> –9 + 9i<br> –9 – 3i<br> –5 – 3i<br> –5 + 9i
Mariana [72]
<span>(–7 + 3i) – (2 – 6i)

subtract the like terms.
-7 - 2 = -9

3i - (-6i) = 3i +6i = 9i

The answer becomes -9 + 9i</span>
5 0
3 years ago
Read 2 more answers
Determine which of the following passages are arguments. For those that are, identify the conclusion. For those that are not, de
Alexeev081 [22]

Answer:

Non Arguement passage.

Step-by-step explanation:

The passage given is a non arguement passage , the passage is more of a report especially the introductory part where the author said ''Since the 1950s a malady called whirling disease has invaded U.S. fishing streams, frequently attacking rainbow trout.'' this highlighted phrase is a report gathered or investigated by the author which was gotten as a result of his own personal findings or from history. For an argument passage, the introductory part will have portrayed what the author implied, there will be an indication of the authors stance or favoured opinion which of course will be backed by evidence from his or her findings. as such, there is nothing of such which may serve as a precursor to indicate or informed us if the passage is that of an arguement. Again, the passage is a report and not an argument. as nothing can be inferred from the paragraph to point to us if it is an argument passage.

However, there is a conclusion in the passage and conclusions has arrived by the author must have been from a detailed findings and research, if possible an experimental study before a conclusion can be reached as the last line of the paragraph says ''A parasite deforms young fish, which often chase their tails before dying, hence the name.'' The conclusion is that parasite are known to cause deformation in young fish.

4 0
2 years ago
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