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Len [333]
3 years ago
7

If you vertically stretch the exponential function, f(x)=2^x, by a factor of 4, what is the equation of the new function?

Mathematics
2 answers:
LiRa [457]3 years ago
7 0

Answer:

f(x)=4(2)ˣ

Step-by-step explanation: to vertically strech a function by a factor of c, multiply the whole function by x

Alex777 [14]3 years ago
3 0

Answer:

g(x) = 4*2^x

Step-by-step explanation:

Stretching this expo function by a factor of 4 is equivalent to multiplying the original function by 4:  g(x) = 4*2^x.

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vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

  • let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

  • the first equation can be written as y=5-2x
  • the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

  • now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
  • the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
  • now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

  • by seeing the graph, the value of x is 2.625.

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Joey has 30 model airplanes to paint. He has painted 18 models so far.
mixas84 [53]

Answer:

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Paula walks 1/12 mile in 5/3 minutes. What rate is equivalent to the rate she walked?
mel-nik [20]

The rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute

<h3>Calculating Rate </h3>

From the question, we are to determine the rate which is equivalent to the rate Paula walked

Using the formula,

Rate = \frac{Distance}{Time}

From the given information,

Distance = 1/12 mile

Time = 5/3 minutes

Putting the parameters into the formula, we get

Rate =\frac{\frac{1}{12} }{\frac{5}{3} }

Rate = \frac{1}{12} \div \frac{5}{3}

Rate = \frac{1}{12} \times \frac{3}{5}

Rate = \frac{3}{60}

Rate = \frac{1}{20} mile/minute

Hence, the rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute

Learn more on Calculating Rate here: brainly.com/question/21208007

#SPJ 1

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horrorfan [7]

Answer:

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Step-by-step explanation:

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