18
Select the correct answer.
Exponential function fis represented by the table.
X
f(x)
=
-2
-46
OA
O B.
OC.
O D.
-1
-22
0
-10
1
-4
Function g is represented by the equation.
g(x)
- 18(3)² + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
2
-1
ہے
Only function fis increasing, and only function fis negative.
Only function fis increasing, but both functions are negative.
Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function fincreases at a faster average rate.
Answers
A statement which correctly compares the two functions on the given interval [-1, 2] is: C. Both functions are increasing, but function g increases at a faster average rate.
How to compares the two functions?First of all, we would determine the values of function g(x) on the given interval [-1, 2] as follows:
g(x) = -18(⅓)^x + 2
At x = -1, we have:
g(-1) = -18(⅓)^(-1) + 2
g(-1) = -52.
At x = 0, we have:
g(0) = -18(⅓)^(0) + 2
g(0) = -16.
At x = 1, we have:
g(1) = -18(⅓)^(1) + 2
g(1) = -4.
At x = 2, we have:
g(2) = -18(⅓)^(0) + 2
g(2) = 0.
By critically observing the values of each functions, we can logically deduce that both functions are increasing but function g(x) increases at a faster average rate because it started with a lower value and ended with a higher value.
Read more on functions here: https://brainly.com/question/23575055
#SPJ1
Related Questions
solve for: 3x-91>-87 AND 17x-16>18
a) x>2
b) x>4/3
c) 4/3d) there are no solutions
Answers
The correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
Given inequalities are:-
3x-91>-87 AND 17x-16>18The inequalities will be solved as:-
i ) 3x - 91 > -87
3x > -87 + 91
3x > 4
x > ( 4 / 3 )
ii) 17x-16>18
17x > 18 + 16
17x > 34
x > 34 /17
x > 2
Therefore the correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ1
Question 3(Multiple Choice Worth 4 points)
(01.05 LC)
Solve for x: 3
06
06>x>9
00
00>x>3
Answers
The value of x from the given equation is ±√10
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the equation below:
Given the equation below;
x² = 10
Take the square root of both sides
√x² = ±√10
x = ±√10
Hence the value of x from the given equation is ±√10
Learn more on equations here: https://brainly.com/question/2972832
#SPJ1
What is the slope of a line perpendicular to 3x + 2y = 7?
-2/3
-3/2
3/2
2/3
Answers
Answer:
m = 2/3
Step-by-step explanation:
Rewrite in slope-intercept form.
y = -3/2x + 7/2
Using the slope-intercept form, the slope is −3/2.
m = -3/2
The equation of a perpendicular line to y=−3/2x + 7/2 must have a slope that is the negative reciprocal of the original slope.
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
• First rewrite the original equation in the form y = mx + c ,
where m = gradient:
[tex]3x + 2y = 7[/tex]
⇒ [tex]2y = -3x + 7[/tex]
⇒ [tex]y = \frac{-3}{2}x + \frac{7}{2}[/tex]
• From this equation, we can see that the gradient, m = [tex]\frac{-3}{2}[/tex] .
The gradient of a line perpendicular to another line with gradient m, = [tex]\frac{-1}{m}[/tex].
∴ gradient of perpendicular = -1 ÷ [tex]\frac{-3}{2}[/tex]
= [tex]\frac{2}{3}[/tex]
Question 5 of 10
Which information would most likely cause a company's stock price to go up?
A. Consumers reduce spending because of a recession.
B. The company releases an innovative car with unique features.
C. The company's charismatic CEO must resign after revelations of
fraud.
D. Congress threatens to break up a large tech company.
SUBMIT
Answers
Answer:
B
Step-by-step explanation:
Four friends had dinner togethere.
The total cost was $65.60.
The four friends shared the cost eaually between them.
How much did each person pay
Answers
Answer:
Your answer is $16.40
Find in degrees.
11
B
6
[?]°
Round to the nearest hundredth.
Enter
Answers
Answer:
[tex] \beta = 28.610[/tex]
Step-by-step explanation:
in this case we have a right angled triangle, whenever you see this triangle think of the TRIG RATIOS * sin, cos & tan* but if it was another triangle besides right angled triangle you use SINE RULE OR COSINE RULE
SOLUTION
[tex] \tan( \beta ) = \frac{opposite}{adjecent} \\ \tan( \beta ) = \frac{6}{11} \\ \beta = tan(inverse)( \frac{6}{11} ) \\ \beta = 28.61045[/tex]
Two points located on JK are A-1,-9) and K(5,3). What is the slope of JK ?
OA -2
OB. -1/2
OC. 1/2
O D. 2
Answers
Answer:
D .2
Step-by-step explanation:
3-(-9)
5-(-1)
=3+9
5+1
12
6
= 2
for what values of m does the equation mx=5 have a single solution? can m have a value for which the equation does not have any solution? what about an infitnite number of solutions? i know that not any solution is m=0 and for a single one i need it like x<-3 3
Answers
The equation has no solutions when m = 0, and when m ≠ 0, the equation has only one solution.
For what values of m we have a single solution?
Here we have the equation:
m*x = 5
If we solve for x, we get:
x = 5/m
So, as long as m is different than zero, we will have one solution.
We can't have m = 0 because we can't divide by zero.
Then:
m > 0 or m < 0.
When we have no solutions?We have no solutions when m = 0, the equation becomes:
0*x = 5
0 = 5
This equation has no solution
And we never can have infinite solutions.
If you want to learn more about equations:
https://brainly.com/question/27927692
#SPJ1
suppose f(x)=x+3 find the graph of f(2x)
Answers
Answer:
2x + 3Step-by-step explanation:
f(2x) means that we have to substitute x with 2x
So, the answer is
2x + 3
mike solves 56 problems in 1 hour 45 min, how many problems does he solve per hour
Answers
Explained
56 problems divided by 1.75 = 32
The reason I used 1.75 is because 1 hr 45 minutes is 1 hour and the 45 minutes is 3/4 of an hour on the clock, 3/4 is the same as .75
2.
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values Relative Frequency
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What is the relative frequency for the range 16 – 20?
0.4
0.33
0.2
.27
Answers
The relative frequency for the range 16 - 20 is 0.27.
What is the frequency of a data set?The frequency of a data set refers to the number of times a data or an event is occurring.
From the given information:
Range Number of values
1 - 5 3
6 - 10 1
11 - 15 4
16 - 20 5
21 - 25 2
Total 15
Relative Frequency = Subgroup frequency/ Total frequency
Relative Frequency for the range 16 - 20:
= 4/15
= 0.27
Learn more about frequency here:
https://brainly.com/question/1094036
#SPJ1
Answer:
.27
Step-by-step explanation:
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 7.6 reproductions and the population standard deviation is known to be 2.2. If a sample of 707 was used for the study, construct the 90% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
Answers
The confidence interval for the true mean number of reproductions per hour is (7.5,7.7)
Given mean of 7.6 , standard deviation of 2.2, n=707 and 90% confidence level.
We have to find the confidence interval for the true mean number of reproductions per hour for the bacteria.
α=0.90
μ=7.6
σ=2.2
m=707
α/2=0.45
We have to calculate z value for the p value of 0.45 which is z=1.64.
Margin of error=z*μ/[tex]\sqrt{n}[/tex]
=1.64*2.2/[tex]\sqrt{707}[/tex]
=0.13
Lower level=mean -m
=7.6-0.13
=7.47
after rounding upto 1 decimal
=7.5
Upper level= mean +m
=7.6+0.13
=7.73
after rounding upto 1 decimal
=7.7
Hence the confidence interval is (7.5,7.7) for the true mean number of reproductions per hour.
Learn more about margin of error at https://brainly.com/question/10218601
#SPJ4
Which function has a vertex at (2, 6)?
Answers
Answer:
A quadratic function
Step-by-step explanation:
Answer:
f(x) = 2|x – 2| + 6
Step-by-step explanation:
On edg 2022
You have 73 trading cards. Your cousin says that
you have 7 less than half the cards he has. You
say you have 33 more than one-fourth the cards
he has. Can you both be right?
Answers
Using proportions, it is found that both can be right, as the amounts found from each operation are the same.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering you have 73 cards, and your cousin says that you have 7 less than half the cards he has, his amount is found as follows:
0.5x - 7 = 73
0.5x = 80
x = 160.
Then, one-fourth of his amount is:
(1/4) x 160 = 40.
33 more than this is:
33 + 40 = 73.
Both operations have results (73,160), hence the both can be right.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
How many solutions does this linear system have?
y = 2/3x+ 2
6x -4y = -10
O one solution: (-0.6, -1.6)
O one solution: (-0.6, 1.6)
no solution
infinite number of solutions?
Answers
Use your calculator to estimate the value of
log752.
Click on the correct answer.
1.450
1.653
2.031
Answers
The value of the given logarithm using calculator is 2.031
Logarithm functionsLogarithm are inverse of exponential functions. Given the following logarithm expression;
log(7)52
This can also be expressed as:
log(7)52 = log52/log7
log(7)52 = 0.5399/0.9804
log(7)52 = 2.031
Hence the value of the given logarithm using calculator is 2.031
Learn more on logarithm here: https://brainly.com/question/25710806
#SPJ1
Members of a baseball team raised $1780.50 to go to a tournament. They rented a
bus for $1151.50 and budgeted $37 per player for meals. Determine the number of
players the team can bring to the tournament.
Answers
Answer: 17 players
Step-by-step explanation: 1780.50-1151.50=629, 629/37 = 17
The number of players the team can bring to the tournament is 17.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
Budget = $1780.50
Fixed cost (bus rent) = $1151.50
Variable cost = $37 per player.
For n number of players.
Total cost = 1151.50 + 37n
Total cost ≤ total budget
1151.50 + 37n ≤ $1780.50
37n ≤ 629
n ≤ 17
Hence "The number of players the team can bring to the tournament is 17".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
You and a friend go to Tacos Galore for lunch. You order two soft tacos and three burritos, and
your total bill is AED 18. Your friend's bill is AED 20.00 for four soft tacos and two burritos.
How much does a soft taco cost?
Answers
Answer:
AED 3
Step-by-step explanation:
Let tacos: t
Let burritos: b
1) Set up equations.
2t + 3b = 18
4t + 2b = 20
2) Solve the system of equations using substitution.
2t = 18 - 3b
t = 18/2 - 3b/2
t = 9 - 3b/2
Substitute this into the second equation and simplify.
4(9 - 3b/2) + 2b = 20
36 - 12b/2 + 2b = 20
36 - 6b + 2b = 20
36 - 4b = 20
-4b = 20 - 36
-4b = -16
b = -16/-4
b = 4
3) Substitute the found answer in any one of the two equations.
2t + 3(4) = 18
2t + 12 = 18
2t = 18 - 12
2t = 6
t = 6/2
t = 3
Therefore, a soft taco costs AED 3.
10.one hundred and sixty-seven it students are transported by 3 buses to a workshop. there are 4 more students in the second bus than in the first bus and in the third bus there are 9 more students than in the second one. how many students are in each bus?
Answers
The distribution of students is x + (x +4) + (x + 4 + 9) = 167
3x + 17 = 167
3x = 167 - 17 = 150
The number on the first bus x = 50
The number on the second bus = 54
The number on the third bus = 63
On a coordinate plane, quadrilateral Q R S T has points (0, 2), (negative 4, 0), (0, negative 3), and (4, 0).
The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).
What are the coordinates of Q', if Q(0, 2)?
(, )
Answers
By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).
How to apply rigid transformations on a point
Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:
(x, y) → (k · x, k · y), for k > 0
If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:
Q'(x, y) = (0.5 · 0, 0.5 · 2)
Q'(x, y) = (0, 1)
By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).
To learn more on dilations: https://brainly.com/question/13176891
#SPJ1
Answer: Q' = (0,1)
Step-by-step explanation: just did it on edge
Today only, a table is being sold for $100.80. This is 24% of its regular price. What was the price yesterday?
Answers
Answer:
$420
Step-by-step explanation:
100.80/x = 24/100
with x being the regular price
x = (100.8*100)/24
x = 420
What is the relationship between the domain and range of a relation and its inverse?
Answers
Answer:
the x-values of the relation are the y-values of the inverse.
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
Answers
Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
A rigid transformation such as reflection, rotation and translation preserve the shape and size, hence the pre-image and image have the same corresponding angle and side measures.
A non rigid transformation such as dilation preserve the shape and not size, hence the pre-image and image have the same corresponding angle measures.
Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.
Find out more on transformation at: brainly.com/question/4289712
#SPJ1
Answer:
C
Step-by-step explanation:
2023
la mama de fabiana tiene un vivero. En su ultimo pedido compro 5 fresias, una con flores rojas, una con flores blancas, una con flores celestes y otra con flores violetas, 3 rosales, una con flores rojas, otro con flores rosas y otro con flores amarillas y 2 calas, una con flores blancas y otra con flores azules.
Me ayudan porfa.
Les doy puntos y coronita si me ayudan.
Porfa.
Answers
The computation shows that the number of flowers will be 10.
How to calculate the value?The information illustrates the flowers that were brought for the nursery.
Based on the information given, the total number of flowers bought for the nursery will be:
= 5 freesias + 3 rosebrushes + 2 calls lilies
= 10
In conclusion, the total number of flowers is 10.
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
Fitness Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 527 4 steps. Write and solve an inequality to find the possible numbers of steps you can take to reach your goal.
Answers
The inequality is x + 5274 ≥ 10,000.
The total number of steps I have to take to reach my goal is 4726.
How many more steps do I have to take?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toNumber of steps I have to take + number of steps I have taken ≥Total steps
X + 5274 + x ≥ 10,000
x ≥ 10,000 - 5274
x ≥ 4726
To learn more about inequality, please check: https://brainly.com/question/5031619
#SPJ1
INTEGERS A frog starts at 0 on a number line. It jumps 100 units to the right then jumps 200 units to the left. It then jumps 199 units to the right followed by 198 units to the left, and then 197 units to the right followed by 196 units to the left. The frog continues to move in alternate directions. Each movement is 1 unit less than the previous movement.
Where on the number line is the frog after 10 moves?
Answers
On the number line after 10 moves frog is at the integer -96.
Given that, a frog starts at 0 on a number line.
It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).
It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).
It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).
It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).
It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).
Hence, on the number line after 10 moves frog is at the integer -96.
To learn more about the integers visit:
https://brainly.com/question/15276410.
#SPJ1
A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second?
Answers
The angular speed of the wheel is calculated as 52.36 radians per second
How to solve for the angular speedThe revolution of this wheel is said to be at 500 in a minute
This is also called the frequency of this wheel.
This can be written as
500rev in 60 seconds. 500/60 = 8.333 per second
Angular speed is given as
pi = 22/7
f = 8.333
Formular for angular speed = ω = 2*pi*f
w = 2 * 22/7 * 8.333
= 52.36 radians per second
Read more on angular speed here:
https://brainly.com/question/6860269
#SPJ1
Write the domain and range of g using interval notation.
Answers
AD= in
What is AD?
Help me please, thanks:)
Answers
Step-by-step explanation:
ATTACHED IS THE SOLUTION!What is the value of x? (There should be an image)
Answers
Answer:
22
Step-by-step explanation: