1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arte-miy333 [17]
3 years ago
8

What do both of these functions have in common? f(x)=5e^x+5 g(x)=0.5(x-5)^2-5

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
8 0

Answer:

Both have a vertical shift of 5 units but in different directions.  

Both functions are non-linear.

Step-by-step explanation:

Given : Functions f(x)=5e^x+5 and g(x)=0.5(x-5)^2-5

To find : What do both of these functions have in common?

Solution :

Functions f(x)=5e^x+5 and g(x)=0.5(x-5)^2-5 both are different functions .

The common in these functions is

Both have a vertical shift of 5 units but in different directions.  

Vertical shift is f(x)\rightarrow f(x)\pm b

If there is +b then vertically upward

If there is -b then vertically downward.

and both functions are non-linear.

kondor19780726 [428]3 years ago
3 0

Answer:

They have the same vertical shift. -Apex

Step-by-step explanation:

You might be interested in
If a puzzle has 5 empty squares and 5 shades in, what improper fraction represents the shaded part?
LenaWriter [7]

Answer:

5/10

Step-by-step explanation:

5+5=10. so 5 empty 0/10 5 shaded 5/10

4 0
2 years ago
Which represents the solution set of the inequality 15y-9<36?
hram777 [196]
1) Add 9 to both sides
2) You get 15y<45
3) Divide by 15 on both sides
4) You get y<15

Remember that < is less than and > is greater than
Also note that when you divide by a negative number, you need to flip the inequality symbol.
4 0
3 years ago
Approximately how many people died during the Civil War?
ivanzaharov [21]

Answer:

600,000

Step-by-step explanation:

around 620,000 so 600000 is the closest answer

7 0
2 years ago
Read 2 more answers
WHOEVER ANSWERS FIRST OR ANSWERS THE BEST WILL GET BRAINLIEST WORTH 40 POINTS!!!!!!!!!!!!!!
Irina18 [472]

Answer:

12+12+28+30+18=100

Step-by-step explanation:

love you no homo c:

you+me=<3

8 0
2 years ago
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
3 years ago
Other questions:
  • A company developed the following linear model to help budget annual expenses over time. In this model, x represents the number
    8·1 answer
  • What is (2/3)m+2=(1/6)m-3
    12·1 answer
  • Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.
    10·2 answers
  • Given the function, f (x) = sq3x+3+3, choose the correct transformation.
    7·1 answer
  • Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles
    10·1 answer
  • What is the slope of the line?
    5·1 answer
  • 8x + 58 &gt; 500 what is this?
    11·1 answer
  • If f (x) = 2 + 3 and f (x) = 35, then what is x?
    9·1 answer
  • Calculate the gradient of BD​
    10·1 answer
  • CAN SOMEONE PLEASE HELP ASAP!?? I RLLY NEED THIS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!