A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries three-fourths, three-halves, 3, 6, 12. Which exponential function is represented by the values in the table?
Answers
Answer:
f(x) = 3(2)^x
Step-by-step explanation:
The Table is:
x f(x)
-2 3/4
-1 3/2
0 3
1 6
2 12
The exponential funtion has the next form:
f(x) = a(b)^x
At x = 0, f(x) = a. Then, a = 3
Isolating b from the equation:
f(x)/a = b^x
ln(f(x)/a) = x*ln(b)
[ln(f(x)/a)]/x = ln(b)
At x = 1, f(x) = 6. Then:
[ln(6/3)]/1 = ln(b)
ln(2) = ln(b)
2 = b
Therefore, the function is f(x) = 3(2)^x
Related Questions
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
You know the deal ……..
Answers
Answer:
A
Step-by-step explanation:
Because it looks right to me
20 POINTSSSSSSSSSS which expression means 2 more than a quotient of a number and 3 A. x/3 +2 B. x/2 + 3 C. x/3 -2 D. 3x +2
Answers
Answer:
D. 3x +2 because 3 more than means adding and qotient or a number and 3 means multiply 3 and x.
Step-by-step explanation:
Hope it helps! =D
Answer:
a
Step-by-step explanation:
what point below is the solution to the expression 2x+y=12
A) (4,2) C) (8,-1)
B) (3,6) D) (0,6)
Answers
Answer:
Step-by-step explanation:
It's B.
Let's rewrite the expression like this :
2x+y=12 ⇒ y=12-2x
and try given values for x :
if x=4 ⇒ y=12-(2×4)=12-8=4 ( so it is not 2 ) ⇒ wrong if x=3 ⇒ y=12-(2×3)=12-6=6 (it is 6) ⇒ right if x=8 ⇒ y=12-(2×8)=12-16=-4 (so it is not -1) ⇒ wrong if x=0 ⇒ y=12-(2×0)=12-0=12 (so it is not 6) ⇒ wrongTranslate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answers
Answer:
The equation is: \(5c-2=9\)
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
\(5c-2=9\)
Need answer as soon as possible please and thank you.
Answers
Answer:
\(\frac{w^7}{4}\)
Step-by-step explanation:
\(\frac{w13}{4w^6}\)
=\(\frac{w13*w(-6)}{4}\\\frac{w^7}{4}\)
What is -4/7 divided by 5?
Answers
Answer:
-4/35
Step-by-step explanation:
Over the course of 5 games, a football team scores an average of 14 points with an absolute deviation of 4 points. What were the football team's least and greatest scores?
Answers
Anyone knows the answer???
Answers
Answer:b
Step-by-step explanation:
Answer:
#3 points are
(-4, 2)
(4, 2)
(-4, -2)
(4, 0)
#4 scale factor = 1/4
#5 scale factor = 1/2
Step-by-step explanation:
#3
take the given points and multiply the x and y by 2/3
#4 take any point and compare it to a similar point on the dilated graph. for example, you take a point from the original graph (-2, 4) and a point from the dilated graph (-1/2, 1) since you multiply -2 by 1/4 to get -1/2, that is your scale factor.
#5 same as #4 but with different points
question 8 math homework
Answers
Answer:
The correct choice is the first one
Step-by-step explanation:
Going via street A and street B will be 3.5 miles
Going directly along street C will be 2.5 miles
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
Help will give Braninlist
:))))))
Answers
Answer:
4 (3+x)
Step-by-step explanation:
4 (3+ x) = (4×3) + (4× X ) = 12 + 4x
Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a 1 is
Answers
Answer:
3/8
Step-by-step explanation:
There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.
pls, i need help with my math
Answers
Explanation the first number “x” in “(x,y)” is ontop
Hope this helps :)
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
slope of 1/4
Step-by-step explanation:
slope formula= y2-y1/x2-x1
coordinates i chose: (0,60) (40,70)
70-60/40-0=10/40=1/4
therefore slope of 1/4
hope this helps, also what grade is this problem
Answer:
It is a slope of 1/4
Step-by-step explanation:
Please help!!
Which expression uses the commutative property to make it easier to evaluate 1/4 x 3/5 x 12?
A: 4/12 x 3/5 x 1
B: 1/4 x 5/3 x 12
C: 12 x 3/5 x 1/4
D: 1/4 x 12 x 3/5
Answers
i hope it helps
Answer:
C
Step-by-step explanation:
Binomial (x-4) and trinomial (-2x^2 + 3x + 4) are the factors of what polynomial?
Answers
What is 5 squared I forgot.
Answers
The answer to you problem is 25
Lisa has $250.00 to spend on plants. She buys 3 bushes at $65.82 each. How much money does she have left to spend on other plants?
Answers
Answer:
$52.54
Step-by-step explanation:
Answer:
$52.54
Step-by-step explanation:
You first multiply 3 by $65.82 to determine the total amount of money you have spent. Then you take that answer($197.46) and subtract it from her starting budget to determine how much money she has left.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
The value of y varies directly with x, when y = 32 and x = 4. What is the equation for this relation? What is the value of y when x = -7?
equation:
y= :
Answers
Answer:
y = -56
Step-by-step explanation:
I'm pretty sure the answer is -56 because the difference between 32 and 4 is 8, when you divide. Then, -7 x 8 = -56
Which equation has no solution ?
A. 24x + 32 - 2.1x = 20.9x + 30 + x + 2
B. 24x + 32 - 2.1x = 20.9x + 30 + x - 2
C. 24x + 32 - 2x = 20.9x + 30 + x - 2
D. 24x + 32 = 20.9 + 30
Answers
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
i need help with this question please help me
Answers
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.
Answers
Answer:
Bus is the preferred transportation for 25 residents.
Step-by-step explanation:
Select each expression that is equivalent to 3(n + 6). Select all that apply. (ANSWER ASAP)
A.
3n + 6
B.
2(n + 6) + (n + 6)
C.
2(n + 6) + n
D.
3n + 18
E.
2n + 2 + n + 4
Answers
Answer:
Step-by-step explanation:
This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.
3(n+6)
To simplify it, you have to multiply the first number by each number in the parenthesis, separately:
3(n+6)
3n + 3(6) or 3xn + 3x6 (same thing)
3n+18
Finally, we can check the other 4 choices to double check.
A. 3n+6 (wrong)
B. 2(n+6) + (n+6)=
2xn + 2x6 + n + 6
2n + 12 + n + 6
combine like terms, or all the terms that are the same. start with the Ns, then the numbers:
2n+n + 12+6
3n+18
C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12
D.3n+18
E. 2n+2+n+4= 2n+n+2+4= 3n+6
Answer= B and D
hope this helps :))
Answer: 3n+18 bcz of the distributive property
Step-by-step explanation:
b & d
what is the equation of this line
Answers
Answer:
y=4x-6
Step-by-step explanation:
The equation of the line is y=mx+c where m is the slope and c is the intercept.
To find the slope, take two points \((x_{1},y_{1})\) and \((x_{2},y_{2})\) and use the equation \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\). Let's take (1,-2) and (2,2) as our two points:
\(m=\frac{2-(-2)}{2-1}=\frac{4}{1}=4\)
The y-intercept is where the line crosses the y-axis. We can see from the graph that the line crosses the y-axis at -6, therefore c= -6.
Now we can write the equation of this line: y=4x-6
Answer:
The answer is y=4x-6
Pls help me!!
Which expression can be used to solve the equation below?
4600 ÷ 5=______
A (46 ÷ 5) + (100 ÷ 5)
B (400 ÷ 5) - (600 ÷ 5)
C (4000 ÷ 5) - (60 - 5)
D (4000 ÷ 5) + (600 ÷ 5)
Answers
The expression that can be used to solve the given equation 4600 ÷ 5 is; D: (4000 ÷ 5) + (600 ÷ 5)
How to carry out mathematical operations?We are given the equation; 4600 ÷ 5
Now, the individual numbers can be further simplified to get;
4600 = 4000 + 600
Thus, we have;
(4000 + 600) ÷ 5
Thus, by distributive property, we have;
(4000 ÷ 5) + (600 ÷ 5)
Read more about Mathematical Operations at; https://brainly.com/question/16788360
HELPPPPPPPPPPPPP
The chances of finding a rare card in a pack of trading cards can be represented with the equation y equals one-twentieth times x, where y represents the number of rare trading cards and x represents the number of packs of trading cards. Determine how many rare trading cards you would find if you bought 60 packs of trading cards.
one-twentieth
3
20
1,200
Answers
Answer:
3
Step-by-step explanation:
1/20=0.05 then 0.05x60=3 so 3 rare trading cards. May god bless your day.<3
round 83 960.to the nearest hundred
Answers
Answer: it is 8400
Step-by-step explanation:Find the number in the hundred place
9
and look one place to the right for the rounding digit
6
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
84000
if u need more math answers there is a cool website free of use called "mathaway" and i use it on all of my assignments and it really helps, i hope that i was useful!
Answer:
84,000
Step-by-step explanation: