All categories

3 years ago

Exponential Function:

Mathematics

1 answer:

vovangra [49]3 years ago

4 0

Answer:

See below

Step-by-step explanation:

<em>On the graphs we see transformations of exponential functions</em>

<h3>Graphic 1 = Horizontal shift </h3>

f(x) = 2ˣ is the parent function
g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit

<h3>Graphic 2 =Vertical shift</h3>

p(x) = (1/3)ˣ is the parent function
r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units

You might be interested in

A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?

N76 [4]

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

5 0

3 years ago

What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea

Nataly [62]

Answer:

The volume of sphere is $24416.64\ cm^3$ .

Step-by-step explanation:

We have,

Radius of a sphere is 18 units.

It is required to find the volume of sphere.

The formula of the volume of sphere in terms of radius is given by :

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

Plugging all values in above formula

$V=\dfrac{4}{3}\times 3.14\times (18)^3\\\\V=24416.64\ cm^3$

So, the volume of sphere is $24416.64\ cm^3$ .

7 0

3 years ago

Write an inequality to match each description. Use n for the variable.

mel-nik [20]

${\huge {\mathfrak {Answer :-}}}$

Let, the length be l and breadth be b.

So, 2(l + b) = 26

Or, l + b = 13

Or, l = 13 - b

So, we may write like this,

Area = l * b

Or, l * b > 30

Or, l (13 - l) > 30

Or, 13l - l^2 > 30

Or, l^2 - 13l + 30 > 0

Or, l^2 - 3l - 10l + 30 > 0

Or, l(l - 3) - 10(l - 3) > 0

Or, (l - 3)(l - 7) > 0

Or, l - 7 > 0

Or, l > 7.

Now, putting the value of l,

We get, l * b > 30

Or, 7 * b > 30

Or, b > 30/7

➡️ Therefore, we get,

Length > 7

Breadth > 30/7

That's it..

6 0

3 years ago

Help will give Brainly points

Elodia [21]

Answer:

$\frac{24}{25}$

Step-by-step explanation:

$\cos(\theta)=\frac{\textrm{adjacent}}{\textrm{hypotenuse}}$

4 0

2 years ago

Write a proportion for the following word problem.

Rashid [163]

<12> starting number <75%> next number your new hourly rate would be higher also know as 75% more meaning the answer to how much more i would get is <12> + <75> = <87>

6 0

3 years ago