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3 years ago

If you vertically stretch the exponential function f(x) = 2* by a factor of 5, what

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

f(x)=5(2^x)

Step-by-step explanation:

We have been given the parent function

We have the transformation rule:

Rule: If the parent function y =f(x) is stretched vertically by a factor 'k' then the equation becomes y=kf(x).

Here, the exponential function vertically stretched by a factor 5, hence, k = 5.

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Alborosie

Answer:

its 65. bcuz you add it all together

Step-by-step explanation:

6 0

3 years ago

AFLATI 2 NUMERE STIIND CA AL DOILEA NUMAR ESTE DE 7 ORI MAI MARE DECITPRIMUL IAR SUMA DINTRE DUBLUL PRIMULUI NUMAR SI TRIPLUL CE

postnew [5]

Answer:

The numbers are 20 and 140

Step-by-step explanation:

The question in English is

Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460

Define the variables

Let

x ----> the first number

y ----> the second number

we know that

$y=7x$ -----> equation A

$2x+3y=460$ ----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B

$2x+3(7x)=460$

solve for x

$2x+21x=460$

$23x=460$

$x=20$

Find the value of y

$y=7x$ ----> $y=7(20)=140$

The numbers are 20 and 140

6 0

3 years ago

EASY 10 PTS

ollegr [7]

The solution is: 252. 14x18

7 0

3 years ago

A Chevy Malibu has a fuel capacity of 18.5 gallons. This vehicle averages 666 miles per tank. Assume the relationship between fu

Nuetrik [128]

Answer:

180 miles

Step-by-step explanation:

Step one:

capacity of tank= 18.5gallons

vehicle averages 666 miles per tank.

Hence, the vehicle can travel 666 miles on 18.5 gallons

Required

The distance covered on 5 gallons

Step two:

vehicle can travel 666 miles on 18.5 gallons

the vehicle will go x miles on 5 gallons

cross multiply we have

5*666= 18.5*x

3330=18.5x

divide both sides by 18.5

x= 3330/18.5

x=180 miles

5 0

3 years ago

Devon records 4 hours of reality shows on her DVR she records comedy shows for 3/8 of that amount of time. Devon watches all the

Alenkinab [10]

The number of half-hour sittings needed to watch all the shows by Devon is 11

Solution:

Given, Devon records 4 hours of reality shows on her DVR

she records comedy shows for 3/8 of that amount of time.

$\rightarrow \frac{3}{8} \text { of } 4 \text { hours } \rightarrow \frac{3}{8} \times 4 \rightarrow \frac{3}{2} \text { hours }$

Devon watches all the reality and comedy shows in half-hour sittings.

We have to find the number of half-hour sittings needed to watch all the shows

Now, number of half hour sittings is given as

$=\frac{\text { total time of videos }}{\text { time for hlaf hour sitting }}$

$\begin{array}{l}{=\frac{4 \text { hours for reality shows }+\frac{3}{2} \text { hours for comedy shows }}{\frac{1}{2} \text { hours for each sitting }}} \\\\ {=\frac{4+\frac{3}{2}}{\frac{1}{2}}=\frac{\frac{8+3}{2}}{\frac{1}{2}}=\frac{\frac{11}{2}}{\frac{1}{2}}=\frac{11}{2} \times \frac{2}{1}=11}\end{array}$

Hence Devon needs 11 sittings

3 0

3 years ago