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3 years ago

The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5

Mathematics

1 answer:

ratelena [41]3 years ago

6 0

Answer:

B and C

Step-by-step explanation:

There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.

Graph

I'll try to do both. First the graph. (See below)

The red line is f(x)
The blue line is g(x)

The graph tells us that the line is shifted

2 units up (blue is above red) and
3 units to the left (blue is to the left of red)

Algebra.

g(x) = 2^[(x - 1) + 3] + 3 (+ 2)

The rewrite shows that +3 means left. +2 means up.

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The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm

mina [271]

Answer:

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

In this question:

We have to derivate V and r implicitly in function of time, so:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

The radius of a sphere is increasing at a rate of 3 mm/s.

This means that $\frac{dr}{dt} = 3$

How fast is the volume increasing when the diameter is 60 mm?

Radius is half the diameter, so $r = 30$ . We have to find $\frac{dV}{dt}$ . So

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3$

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

5 0

2 years ago

the brunch buffet cost the same for each adult. for the family of 8 the total cost was 272 how much did it cost per person

taurus [48]

$34 per person

272÷8=34

3 0

2 years ago

Kat sold cell phones for $60. She increased the price by 100%. What is the new price of the cell phones?

ki77a [65]

The new price would be $120

5 0

2 years ago

Read 2 more answers

1. Make up two equations, one that is true and one that is false. Do not state which equation is true and which is false. Your c

N76 [4]

1. The equations that I can think of are,
3 + 1 = 11 - 6
and
8 - 1 = 6 + 1

2. An example of equation that uses the variable x,
6x - 2x = 8
It may be required of you to perform certain steps in order to determine the value of x.

6 0

2 years ago

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. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard

rewona [7]

Answer:

0.78015

Step-by-step explanation:

Given that :

Mean, μ = 1220

Standard deviation, σ = 110

Probability that sales is less Than 1305 on a given day

P(x < 1305) :

Obtain the standardized score Z

Z = (x - μ) / σ

Z = (1305 - 1220) / 110

Z = 85 / 110

Z = 0.7727272 = 0.7727

P(Z < 0.7727) = 0.78015 (Z probability calculator)

6 0

2 years ago