Answers
Given:
The graph of an exponential function.
To find:
The function in the form of [tex]f(x)=ab^x[/tex].
Solution:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex] ...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
For x=1 and f(x)=7,
[tex]7=ab^1[/tex]
Putting a=4, we get
[tex]7=4(b)[/tex]
[tex]\dfrac{7}{4}=b[/tex]
Substitute a=4 and [tex]b=\dfrac{7}{4}[/tex] in (i).
[tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex]
Therefore, the required exponential function is [tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex].
Related Questions
5 actions a good friend would make.
Answers
Answer:
1. respect your opinion
2. defend you/stand up for you
3. support your passions and goals
4. keep stuff you tell them to themselves
5. make you feel comfortable and like you can be yourself
Step-by-step explanation:
Pls help need answers fast
Answers
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
What type of arc is AB
Answers
I'm sorry I don't know the answer but I do have to say that you are loved and no matter how many mistakes you make you will still always be loved. Step-by-step explanation:
Answer:
B. A minor arc
Step-by-step explanation:
Trust me bro
Solve
for x
2(2x + 1) -10=4
Help please and thank you
Answers
Answer: 3
Distribute
Subtract the numbers
Simplify
A diver is on a springboard that is 4 meters above the surface of the pool. another diver is 5 meters below the surface of the pool. Who is closer to the surface of the pool?
Answers
Answer:
A
Step-by-step explanation:
Let's say the surface of the pool is 0, and the diver 4 meters above represents +4, and the diver 5 meters below represents -5. Which number is closer to 0? It's 4! 4 is 4 numbers away from 0, meanwhile 5 is 5 numbers away from zero, 4 is closer to 0!
What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1
Answers
then we substitute the coefficients into the expression ➡️ x= -(-8/2x (-4)) and we solve the equation, so C (-1) is the correct answer!!
On Monday, Aisha spent 5/6 of an hour practicing the violin. On Tuesday, she practiced for 2/3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?. Single choice.
Answers
Answer:
1/6
Step-by-step explanation:
5/6 - 4/6 = 1/6
8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red
Answers
Answer: then its blue, 1/3
Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?
---
I guess the ball was blue.
P(blue) = 7/21 = 1/3
Give one example of "over 10,000 in credit card debt." Then, write a rational number that represents your example
Answers
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answers
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
please help if u can! :))))
Answers
Answer: 0.8
Step-by-step explanation:
The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.
Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.
Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.
24/30 = 0.8.
This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.
Hope it helps. Good luck!
As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answers
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
is 11/15 equivalent or greater to 11/16
Answers
Answer:
11/15 is greater
Step-by-step explanation:
Answer:
11/15 is Greater
Step-by-step explanation:
11/15 = 0.7333
11/16 = 0.6875
Math homework need help
Answers
Answer:
the sum of interior triangle is 180
so,
92+33+X=180
125x=180
X=180-125
=55
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answers
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
another question, what is 94939423^2 have fun!
Answers
Answer: The Answer is 21 because its 21
Which fractions is greater than 1/2?
2/3
3/4
2/6
1/3
3/8
5/8
1/4
5/6
Answers
Answer: 2/3, 3/4, 5/8, 5/6
Step-by-step explanation:
First,
We must turn all of them into denominators that can be divided by 1/2.
2/3 = 4/6. 3 1/3 = 2/6
Now we see which is greater.
2/3 > 1/2.
3/4 > 1/2.
2/6 < 1/2.
1/3 < 1/2.
3/8 < 1/2.
5/8 > 1/2.
1/4 < 1/2.
5/6 > 1/2.
So the answers are 2/3, 3/4, 5/8, 5/6.
32+(-4) how i rezolv this
Answers
Answer:
=28
Step-by-step explanation:
Have a great day :)
Answer:
32 - 4 = 28
Step-by-step explanation:
just replace the plus sign since there is a negative
PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it
Answers
Answer:
1 19/30
Step-by-step explanation:
Answer:
NEVERMIND (I thought 45/30, but i dont know)
Step-by-step explanation:
help me plzz i will pay you back what ever
Answers
Answer:
i beleive its A
Step-by-step explanation:
i say its A due to the phrase "no more" is accurate to showing that the 200 is truly "More than or equal too"
If x=3y substitute the value of x into expression simplify 3x+6
Answers
Answer:
(3y)3+6
Step-by-step explanation:
Active
2
3
The average person's speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be
used to convert this speed to meters per hour?
1 kilometer
1,000 meters
1 meter
1,000 kilometers
1,000 meters
1 kilometer
1,000 kilometers
1 meter
Save and Exit
Sue
Answers
its c
Step-by-step explanation:
hope this helps !
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answers
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
Peter wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Peter estimate the 15% tip on a $48.00 bill correctly?
A. $4.80 + $2.40 = $7.20
B. $4.80 + $4.80 = $9.60
C. $4.80 + $0.48 = $5.28
D. $2.40 + $2.40 = $4.80
Answers
Answer:
A. $4.80 + $2.40 = $7.20
Step-by-step explanation:
10% is the same as 10/100 or 1/10. To find 10% of a number, move the decimal point one place to the left.
10% of $48 is $4.80
Now he needs 5% of $48 which is half of 10% of $48, so 5% of $48 is $2.40.
$4.80 + $2.40 = $7.20
Answer: A. $4.80 + $2.40 = $7.20
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Answers
y= 5/2x-7
y=5x+3
y= -8x +12
y= 3/5x-2
Round 8,723 to the nearest thousand
Answers
Answer:
9,000
Step-by-step explanation:
Tell whether the angles are complementary or supplementary. Then find the value of a
2x
(3x + 25)
Answers
Answer:
31
Step-by-step explanation:
3x + 25 + 2x = 180
3x + 2x = 180 - 25
5x = 155
x = 31
divide 4,052 divided by 61
Answers
Answer:
R u that lazy to not type it in a calculator
Step-by-step explanation:
But it is 66.4262295082
Pls make me buy brainiest
which function has a y-intercept of 3
Answers
Answer:
2 and 3
1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count
Step-by-step explanation:
Substitute X for 0 and solve from there.
3(0) - 2y = -6
0 - 2y = -6
y = 3
y - 3 = -2(0)
y - 3 = 0
y = 3
3(x+5)-2(-3x+1)
PLZ Answer
Answers
It should look like...
3x +15-6x-2
Then you would combine light terms.
And your final answer should be
-3x+13
