All categories

2 years ago

Which function results after applying the sequence of transformations to

Mathematics

1 answer:

Ad libitum [116K]2 years ago

8 0

Answer:

The resulting function after the sequence of transformations is $f(x)=3(x+2)^5+1$

Step-by-step explanation:

Given a function f(x)

the function a*f(x) will be a vertical stretch of factor a, given a > 1
the function f(x) + b will be the translated function vertically up b units
the function f(x+c) will be horizontally translated function of the original by c units left

Remembering these points, we can apply the rules to $x^5$ .

Strech vertically by 3 would be $3x^5$
translate up 1 unit would be $3x^{5}+1$
translate left 2 units would make it $3(x+2)^5+1$

Hence the new function would be $3(x+2)^5+1$

You might be interested in

At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with ei

slamgirl [31]

Answer:

1/8 or 0.125

Step-by-step explanation:

So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..

...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."

Well, oof.

Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.

To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:

Turkey, apple and water
Turkey, orange and water
Turkey, orange and juice
Turkey, apple and juice

Same for the ham:

Ham, apple and water
Ham, apple and juice
Ham, orange and juice
Ham, orange and water

Putting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....

..and a fruit.

Hope this helped!

If you need me to show my work, just comment me and I will attach a screenshot!

Source: N/A

5 0

2 years ago

⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo

a_sh-v [17]

Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is $y=382627(1.0278)^t$ .

Step-by-step explanation:

The exponential formula is

$y=b(1+r)^t$

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

$y=382627(1+0.0278)^t$

$y=382627(1.0278)^t$

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

$y=382627(1.0278)^8$

$y=476479.828188\approx 476479$

Therefore the projected population in 2025 is 476479.

7 0

3 years ago

The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the c

vovikov84 [41]

Answer:

The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.

Step-by-step explanation:

The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.

5 0

2 years ago

Heeeeellllllpppppppp PLZ FAST

grin007 [14]

The answer to this question is b

6 0

2 years ago

Write two inequalities to compare 39 and -39

Igoryamba

39 >-39 , |39| = |-39| there you go

4 0

2 years ago