The exponential function g, whose graph is given below, can be written as g(x)=a*b^x
Complete the equation for g(x)
PLEASE HELP!!!!
Answers
Answer:
g(x) = [tex]9(\frac{1}{3})^x[/tex]
Step-by-step explanation:
Exponential function 'g' that can be written as g(x) = a.bˣ
From the graph attached,
Graph of the function passes through two points (0, 9) and (1, 3)
g(0) = a.b⁰
9 = a
Similarly, g(1) = a.b¹
3 = a.b
3 = 9(b)
b = [tex]\frac{3}{9}=\frac{1}{3}[/tex]
Therefore function will be,
g(x) = [tex]9(\frac{1}{3})^x[/tex]
Related Questions
Mrs.Silverstein sold 91 cupcakes at a food fair . The cupcakes were sold in boxes of abc”bakers dozen “ , with is 13 . She sold all the cupcakes at 15$caper box . How much money did she receive?
Answers
Answer:
$105
Step-by-step explanation:
91 divided by 13 times 15
Answer:
$105
Step-by-step explanation:
She sold 91 cupcakes with 13 in a box... so she sold (91/13)=7 boxes
7 boxes sold at $15 each
7 x 15=105 so she receive $105
An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in the second batch and .5 oz. in the third batch. Please convert these decimals into fractions and then put them in ascending order.
Answers
Answer:
2 3/5, 1 2/5, 1/2
Step-by-step explanation:
batch 1 2.6= 2 3/5
batch 2 1.4= 1 2/5
batch 3 0.5= 1/2
Please define the following terms:
Maryland, religious toleration, Bacon’s Rebellion, North Carolina, South Carolina, Georgia, ponder, forfeits, pottage, clout, judicious, commodity.
Answers
PLEASE GIVE ME BRAINLIEST! I worked very hard on this and it took my entire class period :(
Answer:
Maryland- This is a state in the USA, home to the Chesapeake Bay, Maryland is known for its blue crabs and the city of Baltimore, a major historic trading port, baseball power, and birthplace of the national anthem.
Religious Toleration- The condition of letting people worship and perform any rituals/practices in any religion they choose.
Bacon's Rebellion- The first armed insurrection by American colonists against Britain's government. Long before the American Revolution occurred, Bacon and his armed rebels ransacked their capital, threatened its governor, and upended Virginia's social order.
North Carolina- The largest producer of sweet potatoes in the United States. It was home to the first English child born in America, Virginia Dare, was born in Roanoke Island, North Carolina, in 1587. High Point is known as the Furniture Capital of the World.
South Carolina- Johnston, South Carolina, is known as the Peach Capital of the World. The largest Gingko farm in the world is located in Sumter, South Carolina. The first battle of the Civil War took place at Fort Sumter, South Carolina.
Georgia- America's number-one producer of peanuts, pecans, and Vidalia onions, known as the sweetest onions in the world, can only be grown in the fields around Vidalia and Glennville. Another sweet treat from the Peach State is Coca-Cola, which was invented in Atlanta in 1886.
Ponder- To think about something carefully, usually
coming to a conclusion
Forfeits- To lose or give up as a consequence of something else.
Pottage- To sell something of a rediculiously small amount.
Clout- A piece of cloth or clothing, especially one used as a patch.
Judicious- having, showing, or done with good judgment or sense.
Commodity- a raw material or primary agricultural product that can be bought and sold, such as copper or coffee.
Answer:
Maryland- This is a state in the USA, home to the Chesapeake Bay, Maryland is known for its blue crabs and the city of Baltimore, a major historic trading port, baseball power, and birthplace of the national anthem.
Religious Toleration- The condition of letting people worship and perform any rituals/practices in any religion they choose.
Bacon's Rebellion- The first armed insurrection by American colonists against Britain's government. Long before the American Revolution occurred, Bacon and his armed rebels ransacked their capital, threatened its governor, and upended Virginia's social order.
North Carolina- The largest producer of sweet potatoes in the United States. It was home to the first English child born in America, Virginia Dare, was born in Roanoke Island, North Carolina, in 1587. High Point is known as the Furniture Capital of the World.
South Carolina- Johnston, South Carolina, is known as the Peach Capital of the World. The largest Gingko farm in the world is located in Sumter, South Carolina. The first battle of the Civil War took place at Fort Sumter, South Carolina.
Georgia- America's number-one producer of peanuts, pecans, and Vidalia onions, known as the sweetest onions in the world, can only be grown in the fields around Vidalia and Glennville. Another sweet treat from the Peach State is Coca-Cola, which was invented in Atlanta in 1886.
Ponder- To think about something carefully, usually
coming to a conclusion
Forfeits- To lose or give up as a consequence of something else.
Pottage- To sell something of a rediculiously small amount.
Clout- A piece of cloth or clothing, especially one used as a patch.
Judicious- having, showing, or done with good judgment or sense.
Commodity- a raw material or primary agricultural product that can be bought and sold, such as copper or coffee.
I need help I don’t know how to do any of this
Answers
= x^2+1 + 5-x
= x^2-x+6
.•. The answer is option (c) = x^2-x+6 .
Evaluate 231a if a = 3.6
Answers
Answer:
831.6
Step-by-step explanation:
if a=3.6 then 231a is 231 x (3.6) = 831.6
Please ASAP
The expression -254 + 24m represents a submarine that began at a depth of 254 feet below sea level and ascended at a rate of 24 feet per minute. What was the depth of the submarine after 9 minutes?
Answers
Answer:
-38
Step-by-step explanation:
( sorry if miscalculated or done wrong )
First I multiplied 24 x 9 to see how many feet it had gone up in 9 minutes, then added -254 and the answer of 24 x 9 together.
I NEED THE VALUE OF X
Answers
Answer:
x=18
Step-by-step explanation:
Since the angle is 90, noted by the right angle symbol, we can say that 5x=90
Now we simplify each side.
5x/5 = 90/5
x=18
Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute.
Answers
Complete question :
Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute. For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2?
Answer:
4 minutes
Step-by-step explanation:
Given the following exercise routines :
Routine #1,
Walking : burns 22 calories walking. He then running : burns 10.5 calories per minute.
Routine #2,
Walking : burns 39 calories walking. He then running : burns 6.25 calories per minute.
Let number of tone spent running = t
Hence,
Routine 1 ; calories burned
22 + 10.5t
Routine 2 ; calories burned
39 + 6.25t
Equating the two equations :
22 + 10.5t = 39 + 6.25t
10.5t - 6.25t = 39 - 22
4.25t = 17
t = 17/4.25
t = 4
i need help with it like really teacher
Answers
Answer:
i think the answer is B
Step-by-step explanation:
sorry if this was wrong hoped i helped tho
Write an equation to represent each relationship. Then solve the equation. Six times a number plus 4 is the same as the number minus 11. A. 6 + 4 = n - 11; n = 21 B. 4n - 6 = 11n; n = 6/7 C. 6n = 4 + 11; n = 5/2 D. 6n + 4 = n - 11 n = -3
Answers
Answer:
-3
Step-by-step explanation:
Let the unknown number be n
We are to write the expression as equation;
Six times a number plus 4 is the same as the number minus 11.
Six times a number is given as;
6n
Six times a number plus 4 is expressed as 6n+4
The unknown number minus 11 will be expressed as n-11
Finally If Six times a number plus 4 is the same as the number minus 11, them!
6n+4 = n-11
Next is to calculate n;
Collect like terms;
6n-n = -11-4
5n =-15
Divide through by5
5n/5 = -15/5
n = -3
Hence the vale n is -3
in the space provided write the opposite of each number
a. 10/7
b.-5/3
c.3.82
d.-6 1/2
Answers
Answer:
a. -10/7
b. 5/7
c. -3.82
d. 6 1/2
how many minutes are there in h hours and m minutes?
a. h/60+m
b. 60(h+m)
c. h+60m
d. (h+m)/60
e. 60h+m
Answers
Answer:
it would be C i looked it up to double check
Step-by-step explanation:
120=60*2, which is equal you can do it with any number
Complete the sentence (20 points) marking correct answer brainliest
Answers
Answer:
Answers to questions:
1. MP and MQ2. PQ3. PM4. PN and NM5. ∠NQM and ∠NMQAnswer:
1. MP and MQ
2. PQ
3. PM
4. PN and NM
5. ∠NQM and ∠NMQ
Step-by-step explanation:
If you see and use the congruent lines on the triangle, and look at the givens, then you can work this answer out yourself
Abigail's family is buying a small refrigerator for their game room in the shape of a right rectangular prism. The inside measurements are 18 in., 14 in., and 24 in.
Answers
Answer:
Volume = 6048 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume is the capacity of substance that a given measuring object can contain. It can be determined as;
Volume = length x width x height
In the given question, the refrigerator has an internal dimensions 18 inches, 14 inches and 24 inches.
The volume of the refrigerator can be determined as;
Volume = 24 x 14 x 18
= 6048
Volume = 6048 [tex]in^{3}[/tex]
Thus, the internal volume of the refrigerator is 6048 cubic inches.
A.4 trash bins
B.12 trash bins
C.20 trash bins
D. 64 trash bins
I NEED HELP PLEASE ):
Answers
Answer:
D. 64 trash cans
Step-by-step explanation:
The answer is D. because 1 * 16 = 16 so 4 * 16 = 64 trash cans.
Answer:
probably 64
think of 16=1
and 64 ÷ 16 is 4
PLEASE HELP MEE !!
Marcus made $500 working a 40 hour shift last week. He also runs a side business selling t-shirts for $12 each. How much money will Marcus have earned if he saves the $500 from last week, works another shift of 30 hours this week, and sells 22 t-shirts online?
Marcus will have a total of ____ dollars saved.
Answers
Answer:
764
Step-by-step explanation:
12x22=264+500=764
hope this helps
Which equation shows the relationship between days (d) and weeks (w)? *
Answers
Answer:
I think it is w=7d
Step-by-step explanation:
A store sells a pair of Wireless Beats Studio headphones for $350. If you have $150 and are selling candy bars for $3 each, how many candy bars must you sell in order to save enough money for the headphones? PLEASE HELP
Answers
Answer:
67 candy barsStep-by-step explanation:
Given
Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = xRequired equation
3x + 150 = 3503x = 200x = 200/3x ≈ 67Concepts:
Finding XAnswer: 67 candy bars
Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = unknown
3x + 150 = 350
3x ≈ 200
x = 200/3
x ≈ 67
Caroline is 12 years older than Nick. Mark is 4 years younger than Nick. If the total of their ages is 44, how old is the youngest of them?
Answers
Answer:
Hi there,
Make Nick's age = x
Caroline's age = x + 12
Mark's age = x - 4
x + (x + 12) + (x - 4)
Remove brackets
x + x + 12 + x - 4 = 44
Collect like terms
3x = 44 - 12 + 4
3x = 36
x = 12
Mark is 8 yrs old
Nick is 12 yrs old
Caroline is 24 yrs old
Youngest is Mark = 8 years old.
Hope this helps :-)
Answer:
Hi there, Youngest is Mark = 8 years old.
Step-by-step explanation:
Make Nick's age = x
Caroline's age = x + 12
Mark's age = x - 4
x + (x + 12) + (x - 4)
Remove brackets
x + x + 12 + x - 4 = 44
Collect like terms
3x = 44 - 12 + 4
3x = 36
x = 12
Mark is 8 yrs old
Nick is 12 yrs old
Caroline is 24 yrs old
Youngest is Mark = 8 years old.
Hope this helps :-
You can buy 3 apples at the quick market for $1.35. You can buy 5 of the same apples at stop and save for $1.00. Which place is the better buy
Answers
CAN SOMEONE PLS HELP ME Again before my brain starts crYiNG
Answers
Answer:
C
Step-by-step explanation:
The function on the graph has a slope of 3 which is smaller than a change of 4 and the one on the graph starts at two while to equation starts at 4
Hope this Helps :)
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST
Answers
Answer:
a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.
b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Mathematically this is expressed as:
4(x + 3) + 2x = 6(x + 2)
Verifying the options
a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.
When x = 3
4(x + 3) + 2x = 6(x + 2)
4(3 + 3) + 2(3)= 6(3 + 2)
24 + 6 = 6(5)
30 = 30
When x = 5
4(x + 3) + 2x = 6(x + 2)
4(5 + 3) + 2(5)= 6(5 + 2)
4(8) + 10 = 6(7)
42 = 42
Statement in option a is correct
b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
When x = 1
4(1 + 3) + 2x = 6(x + 2)
4(1 + 3) + 2(1)= 6(1 + 2)
4(4) + 2 = 6(3)
18 = 18
When x = 8
4(8 + 3) + 2x = 6(8 + 2)
4(11) + 2(8)= 6(8 + 2)
44 + 16 = 6(10)
60 = 60
Statement in option b is correct
c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.
When x = 2
4(x + 3) + 2x = 6(x + 2)
4( 2 + 3) + 2(2)= 6(2 + 2)
4(5)+ 4 = 6(4)
20 + 4 = 6(4)
24 = 24
4(x + 3) + 2x = 6(x + 2)
4(6 + 3) + 2(6)= 6(6 + 2)
4(9) + 12 = 6(8)
48 = 48
Statement in Option c is wrong
Hence, Statement in Option a and b is correct
Answer:
C
Step-by-step explanation:
(−0.25x + 6) + (7.5x + 6.4)
Answers
Answer:
(−0.25x + 6) + (7.5x + 6.4)= (7.25x+12.4)=19.65
Step-by-step explanation:
19.65 is the answer
If you need the simplified equation it is the following;
7.25x + 12.4
The first equation of the system is multiplied by 2. By what number would you multiply the second
equation to eliminate the y variable by adding?
4x – 3y = 6
6x + 2y = 10
Answers
Answer:
we will have to multiply the second equation by 3 to eliminate the y variable by adding.
Step-by-step explanation:
Given the equations
4x – 3y = 6 → (1)
6x + 2y = 10 → (2)
As the first equation is multiplied by 2,
2(4x – 3y) = (2)6
8x - 6y = 12 → (3)
As we have to eliminate y,
so multiply the second equation by 3,
6x + 2y = 10
3(6x + 2y) = 3(10)
18x + 6y = 30 → (4)
So now adding the new equations (3) and (4) will eliminate the y variable by adding
8x - 6y = 12
18x + 6y = 30
--------------------
26x + 0y = 42
26x = 42
x = 42/26
x = 21/13
Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.
how do i Evaluate 20^2
Answers
Answer:
boom
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
All you have to do is multiply 20 by itself one time. You get 400.
So, 20^2 is 400.
Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What fraction of her savings does she have remaining?
Answers
Given:
Rachel used [tex]\dfrac{1}{3}[/tex] of her savings to buy brushes.
She used [tex]\dfrac{3}{5}[/tex] of her savings to buy paint.
To find:
The fraction for remaining savings.
Solution:
Fraction that Rachel used of her savings to buy brushes and paint is
[tex]\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}[/tex]
[tex]=\dfrac{5+9}{15}[/tex]
[tex]=\dfrac{14}{15}[/tex]
Now,
[tex]\text{Fraction for remaining savings}=1-\text{Fraction for used amount}[/tex]
[tex]\text{Fraction for remaining savings}=1-\dfrac{14}{15}[/tex]
[tex]\text{Fraction for remaining savings}=\dfrac{1}{15}[/tex]
Therefore, [tex]\dfrac{1}{15}[/tex] of her savings is remaining.
The sum of Hunter and Samantha's ages is 50. Samantha is 14 years older than Hunter. Enter Hunter's age. I WILL give brainliest
Answers
Answer:
samatha is 32 hunter is 18
Step-by-step explanation:
trial and error
Which kingdom was divided into provinces ruled by governors who reported to the king? a Ghana b Mali c Songhai
Answers
Answer: Songhai
explanation:
Answer:
Songhai
Step-by-step explanation:
Word Study Directions: Read the question. Then choose the best answer. Which word contains an open first syllable? A. connect B. frozen C. problem D. traffic
Answers
Answer:
B. frozen
Step-by-step explanation:
An open first syllable is one that has a vowel at its end and that vowel causes a long vowel sound at its end. Long vowel sounds are those sounds whose pronunciation is the same as those of the letters.
Among the words listed, fro-zen has a long vowel sound in the form of the o at the end of the first syllable. Thus it can be classified as having an open first syllable.
On a piece of paper, graph f(x) = 6× (0.4)^x Then determine which answer choice matches the graph you drew.
Answers
One a piece of paper, graph f(x)= (0.4)^x. To determine which answer choice matches the graph you drew.
Answer: Graph B
The graph of a function f(x) = 6(0.4)× is shown in graph (B) because the domain of the function is all real numbers and the range of a function is f(x) > 0, the y-intercept of the function is (0, 6)
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = 6(0.4)×
The domain of the function is all real numbers.
The range of the function:
f(x) > 0
Plug x = 0
y = 6
Thus, the graph of a function f(x) = 6(0.4)× is shown in graph (B) because the domain of the function is all real numbers and the range of a function is f(x) > 0, the y-intercept of the function is (0, 6)
Learn more about the function here:
brainly.com/question/5245372
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