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
If 5 people need 1,250 meters of cloth to
make tracksuits, how
many
meters of
cloth will 12 people need?
Answers
Answer:
3000m
Step-by-step explanation:
5 people need cloth=1250 m
1 people need cloth=1250/5
12 people need cloth=1250/5*12
=3000 m
pls mark me as brainliest its nice
4(3+c)+c=c+4 ???????????????????????????
Answers
Answer: = - 2
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
4(3+4) so you do multiplication because there is a parenthesis and you do the 4 multiply the number that is inside the parenthesis so 4x3 + 4x4 you do that and then multiply it then we will have 12+16 and we add that we get 28 and that’s the answer I hope it helps you
-3p>-48 Solve the inequality
Answers
9514 1404 393
Answer:
p < 16
Step-by-step explanation:
Dividing the inequality by a negative number will reverse the comparison.
-3p > -48
(-3p)/(-3) < (-48)/(-3) . . . . divide both sides by the coefficient of p
p < 16
_____
Alternate solution
Add 3p+48 to both sides.
-3p +(3p +48) > -48 +(3p +48)
48 > 3p
Divide both sides by 3; no reversal is necessary.
16 > p . . . . . same answer as above, without the comparison reversal
how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??
Answers
Answer:
[tex]y = -2[/tex]
Step-by-step explanation:
Given
Horizontal Line
[tex](x_1,y_1) = (4,-2)[/tex]
Required
Determine the equation
The equation is calculated using:
[tex]y - y_1 =m(x-x_1)[/tex]
Where
[tex]m = slope[/tex]
Because the line is a horizontal line, then:
[tex]m = 0[/tex]
Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]
[tex]y - (-2) = 0(x -4)[/tex]
[tex]y +2 = 0(x -4)[/tex]
[tex]y +2 = 0[/tex]
Subtract 2 from both sides
[tex]y +2-2 = 0-2[/tex]
[tex]y = -2[/tex]
Hence, the equation is: [tex]y = -2[/tex]
For a science experiment, students need to find 25% of 60 grams. How many grams is that?
Answers
15 grams.
Explanation:
25% of 60 = 15
oh here you go theres the question
Answers
Answer:
in the first step you were supposed to multiply 3 and two not subrtract 5 and 3 because you have to multiply first according to P.E.M.D.A.S.
Step-by-step explanation:
Answer:
In the second step, the student did not complete the right steps in the right order.
Step-by-step explanation:
You should always complete equations using PEMDAS...Parenthesis, exponents, multiplication, division, addition, subtraction. The equation should look like this...
6*6 + 5 - 3 * 2
36 + 5 - 6
41 - 6
35
Hope this helps :)
Find the value of x.
Answers
Answer:
[tex]\sqrt{30}[/tex]
Define the domain and range of the relation. (MAFS.912.F-IF.2.4)
{(2,3), (0, 3), (4, 2), (5, 6)}
domain
range
Answers
Domain is 2,0,4,5
Range is 3,2,6
Please help solve this. (Answer is not 80)
Answers
A rectangle has an area of 6 1/2 square inches. It's length is 2 1/4 inches. What is the width
Answers
6 1/2 / 2 1/4
13/2 x 4/9= 52/18
2 16/18
2 8/9
Please help me with this question
Answers
Answer:
The answer would be C
Step-by-step explanation:
The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.
Answer:
c
Step-by-step explanation:
I just know because I worked it out on paper
PLS HELP!!!
A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet. The area of each triangular base is: A = 1/2(b)(h) A = 1/2(3)(4) A = ft2 There are two bases, so total base area is ft2. The lateral area is: A = (12)(3) + 12(5) + 12(4) A = ft2 The total surface area is ft2.
Answers
Answer:
The lateral area is 144 ft^2
The Total surface area is 156ft^2
Step-by-step explanation:
:)
Answer:
6, 12, 144, 156
Step-by-step explanation:
The area of each triangular base is: A = 1/2(b)(h) A = 1/2(3)(4) A = 6 ft2
There are two bases, so total base area is 12 ft2.
The lateral area is: A = (12)(3) + 12(5) + 12(4) A = 144 ft2
The total surface area is 156 ft2.
What is the total amounted sap the tees produced that day
Answers
Answer:
5 gallons
Step-by-step explanation:
i have done this lesson before
In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter
Answers
Answer:
Jamarcus is the better shooter
Step-by-step explanation:
Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50
Answer:
Tyrell
Step-by-step explanation
Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter
HURRY FAST PLEASEEE..........On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point
Answers
Answer:
Point W, it is going left 0.5 units which is -0.5 and then he is going down 1.25 units which is -1.25 UNits. So your answer is Point W, I hope that this helped you!
Step-by-step explanation:
Answer:
Point W
Step-by-step explanation:
If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36
A. 986
B. 1207
C. 476
D. 612
Answers
Answer:
B
Step-by-step explanation:
I need help!! F(4) I f f(x)=3x-1
Answers
Answer:
f(4) =11
Step-by-step explanation:
f(x)=3x-1
Let x = 4
f(4)=3*4-1
= 12-1
= 11
Premium gasoline costs $4.33 per gallon. Noni's car holds 11.6 gallons of gas. What is the estimated cost of filling the tank of Noni's car?
A. $12
B. $48
C. $56
D. $60
Answers
Answer:
It is (B) $48
Step-by-step explanation:
I just finished the unit test and got it right :D
Lisa made 42 gallons of cider over two days. She made twice as many gallons of cider on day two as she made on day one. How many
gallons of cider did Lisa make on day two?
Answers
Answer: 28
Step-by-step explanation:
First you divide 42 by 3 and get 14
14 times 2 is 28 and 14+28= 42
so Lisa made 14 gallons of cider on day one and 28 gallons on day two
PLS help 20 min
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points) a |-80 - 15| = |-95| = -95 units b |-80 + 15| = |-65| = 65 units c |-80 - 15| = |-95| = 95 units d |-80 + 15| = |-65| = -65 units
Answers
Answer:
It's B, |-80+15|= 65
Step-by-step explanation:
i need help asap pls and thnx you
Answers
Answer:
[tex]z^{3}[/tex] or C
Step-by-step explanation:
Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?
Answers
Answer:
Tanner's employer pays $1251.43 a year and tanner pays $834.29
Step-by-step explanation:
What is the value of x??
Answers
Answer:
160
Step-by-step explanation:
Using Exterior angle theorem
30+130=160
Uhhh not sure if you want the explanation
Pls I need the answer
Answers
Answer:
13/200
Step-by-step explanation:
so we grab the fraction:
6 1/2%
make it a decimal instead of a fraction
6.5%
divide it by 100 to get
6.5/100
and multiply it by 2 because decimals have no place inside fractions lol
13/200
Noah fills a soap dispenser from a big bottle that contains 2 1/3 liters of liquid soap. That amount of soap will fill 3 1/2 dispenser. How many liters of soap fit into one dispenser
Answers
Answer:
i have no more money to buy a candle shop full of dogs with cats and people
Step-by-step explanation:
ur mae
Answer:
None
Step-by-step explanation:
Mr. George has 5 bookcases in his classroom. Each bookcase has 3 shelves. Each
shelf has 20 books. How many total books are on Mr. George's 5 bookcases?
CLEAR
SUBMIT
300 books
160 books
100 books
60 books
Answers
Answer:
300
Step-by-step explanation:
pls help asap no trolls!!
Answers
Answer:
10
Step-by-step explanation:13+4>а>13-4
a>9
please help. im pretty stumped
Answers
Answer:
-
you write the answer here
Step-by-step explanation:
and explain here
Sample Response: They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Answers
Answer:
They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Step-by-step explanation:
coochie man
this is for literal equations
A=4 πr2 (r2)
i think you solve for r2
Answers
Answer:
[tex]r^2=\dfrac{A}{4\pi}[/tex]
Step-by-step explanation:
The given equation is A=4 πr².
We need to solve the above equation for r².
We have,
A=4πr²
Dividing both sides by 4π, we get :
[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]
Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].