All categories

2 years ago

write a function that transforms f(x)=2^3+4 in the following way: stretch vertically by a factor of 6 and shift 5 units left.

Mathematics

1 answer:

maksim [4K]2 years ago

8 0

Answer:

f(x) = 2x3 + 4

Stretch vertically be a factor of 2:

f(x) = 2*2x3 + 4 = 4x3 + 4

Shift 5 units to the left:

f(x) = 4(x+5)3 + 4

You might be interested in

5. The function m(x) = |x - 79| represents the absolute deviation (in inches) of a

ivanzaharov [21]

Step-by-step explanation:

Reread the underlined sentence on page 4.

What does the figurative language in this

sentence suggest about the narrator?

He feels that people should have used better tools

to help them detect advanced life forms on other

planets.

He sympathizes with people for not apprehending

that there was advanced life on other planets.

He is unable to believe that there could be any

form of life more advanced than humans.

He blames people's exaggerated idea of their

superiority for their failure to imagine life more

advanced than themselves.

8 0

1 year ago

4. 12 ___ -15 = 27<br> 5. -18 ___ -¾ = 24

Ksivusya [100]

Answer:

4) 3.5

5) -1.375

Step-by-step explanation:

plug in x for the missing number and solve

3 0

3 years ago

Read 2 more answers

). Cho hệ các vector

Greeley [361]

I DONT UNDERSTAND YOUR LANGUAGE IM SORRY ILL TRY TO TRANSLATE

6 0

3 years ago

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.

kvasek [131]

Answer:

$r = 1.6$

Step-by-step explanation:

Given

x ----- y

0.5. --- 0.8

1. --- 1.6

3.--- 4.8

25. --- 40

Required

Determine the constant of proportionality

This can be calculated using the following formula:

$y = rx$ ; Where r is the constant of proportionality;

Solve for r

$r = \frac{y}{x}$

When x = 0.5; y = 0.8

$r = \frac{0.8}{0.5}$

$r = 1.6$

When x = 1; y =1.6

$r = \frac{1.6}{1}$

$r = 1.6$

When x = 3; y = 4.8

$r = \frac{4.8}{3}$

$r = 1.6$

When x = 25; y = 40

$r = \frac{40}{25}$

$r = 1.6$

Notice that the value of r is constant throughout;

Hence:

$r = 1.6$

5 0

3 years ago

A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp

Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0

3 years ago