Answers
Given:
The parent function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex]
The translated function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex]
To find:
The correct statement from the given options.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex]
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.
In the translated function, we have b=-2<0, so the graph shifts 2 units down.
The graph of [tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex] is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function [tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex].
Therefore, the correct option is A.
Related Questions
Evaluate the quotient of 1.05 x 103 and 1 x 103
Answers
Answer:
for the 1st one it is 108.15x
and the 2nd it is 103x
Step-by-step explanation:
A 2-liter bottle is filled completely with water from a faucet in 10 seconds. How much water is filled into the bottle each second?
Pls who ever sees this (can you pls respond I’m desperate )
Answers
Answer:
2 L/10 sec is equal to the amount of water per second. which would be 0.2 liters per second
Divide the complex numbers and express answer in the form (a+bi)
3-4i/8+2i
Answers
Answer:
[tex]\frac{4}{17}-\frac{19}{34}i[/tex]
Step-by-step explanation:
1. Approach
To divide complex numbers, first one must set the problem up as a fraction. The one will multiply the fraction by the complex conjugate. A complex conjugate is a complex number with the imaginary part multiplied by negative one. Since a number over itself equals one, this will ensure that the expression remains true. When one multiplies by the complex conjugate, the difference of squares property complex into play, therefore the denominator simplifies down to a real number (remember one can simplify the powers of (i)). Now all one has to do is divide each element in the complex number in the numerator by the real number in the denominator. If it does not divide evenly, one can just simply the fraction.
2. Solving
Set up as a fraction
[tex]\frac{3-4i}{8+2i}[/tex]
Multiply by the complex conjugate
[tex]\frac{3-4i}{8+2i}*\frac{8-2i}{8-2i}[/tex]
Simplify
[tex]\frac{(3-4i)(8-2i)}{(8+2i)(8-2i)}[/tex]
[tex]\frac{24-6i-32i+8i^{2}}{64-4i^{2}}[/tex]
[tex]\frac{24-6i-32i-8}{64-4(-1)}[/tex]
[tex]\frac{16-38i}{64+4}[/tex]
[tex]\frac{16-38i}{68}[/tex]
[tex]\frac{8-19i}{34}[/tex]
A prehistoric site was discovered. The site is a nearly perfect circle
Answers
Answer:
whats the question
Step-by-step explanation:
find the sum:
4/100 + 6/10
Answers
Hello there, and welcome to Brainly!
In the following, you are adding the fractions together. Remember that, when adding or subtracting fractions, the denominator (bottom number in the fraction) must be the same. What you do to the denominator, you must do to the numerator as well.
Multiply 10 to both the numerator and denominator of the second fraction:
(6/10) * (10/10) = 60/100
Add across:
4/100 + 60/100 = 64/100
64/100 is your answer.
~
Solve the following triangle angles
Answers
Answer:
X=69 degree
?= 50 degree
Step-by-step explanation:
exterior angle prop so 77+X =146
X=146-77
X=69
in sencond triangle
90+40+?=180
?=180-130
?=50
1 4
. Find the value of discriminant of the quadratic equation 5m? - m = 0
Write down the formula of median
Answers
Answer:
[tex]D = 1[/tex] --- Determinant
[tex]M = \frac{N+1}{2}th[/tex] --- Median
Step-by-step explanation:
Given
[tex]5m^2 - m = 0[/tex]
Required
Calculate the determinant (D)
This is calculated using
[tex]D = b^2 - 4ac[/tex]
In [tex]5m^2 - m = 0[/tex]
[tex]a = 5[/tex], [tex]b = -1[/tex] and [tex]c = 0[/tex]
So, we have:
[tex]D = b^2 - 4ac[/tex]
[tex]D = (-1)^2 - 4 *5*0[/tex]
[tex]D = 1 - 0[/tex]
[tex]D = 1[/tex]
(b) Median Formula.
Median (M) is calculated using:
[tex]M = \frac{N+1}{2}th[/tex] item
A physical education teacher shares 21 bean bags equally between 4 students. The number of bean bags that each student gets lies between what two whole numbers.
A: 3 and 4
B: 5 and 6
C: 2 and 3
D: 7 and 8
Answers
Answer:
B. 5 and 6
Step-by-step explanation:
21 bean bags divided by 4 students will give you 5.25. That lies between 5 and 6. Hope this helps you and that little brainliest crown in the corner looks mighty tempting to click ;))
Answer:
B
Step-by-step explanation:
A store has 40 bags of potato chips on the shelf. Of those bags, 30 are cheddar-flavored. What percentage of the bags of potato chips are NOT cheddar flavored?
Answers
Answer:
25%
Step-by-step explanation:
30/40 = 0.75 = 75% which ARE cheddar flavored
100%-75% = 25%
Solve for b can someone help me please
Answers
7b - 2 + 3b + 2 = 180
7b + 3b - 2 + 2 = 180
10b = 180
b = 18
Check:
7(18)- 2 + 3(18)+ 2 = 180
126 - 2 + 54 + 2 = 180
124 + 54 + 2 = 180
178 + 2 = 180
180 = 180 :)
Step-by-step explanation:
hope this will help you..
Simplify -12+8+5+(-9)
Answers
−12+8+5-9
Simplify -12+8 to -4
-4 + 5 — 9
Simplify
−4 + 5 −4+5 to 1
1 — 9
Simplify
-8 is your answer
Answer:
The answers is -8
Step-by-step explanation:
Remove parentheses.
-12 + 8 + 5 - 9
Add -12 and 8
-4 + 5 -9
Add -4 and 5
1 - 9
Subtract 9 from 1
-8
The answers is -8
Hope this helps
Evaluate the function when x = 3.
f(x) = 5x + 2
A. -1/5
B. 1
C. 3
D. 7
Answers
F(x)=3^3 + 5(3)^2 +1
F(x)=27 + 5(9) +1
F(x)=27+45+1
F(x)=73
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answers
Answer:
solution: x=6
Step-by-step explanation:
8(2x-14)+13=4x-27
next, distribute 8 through the parentheses
16x-112+13=4x-27
calculate the sum
16x-99=4x-27
move the variable to the left-hand side and change it's sign
16x-4x-99=-27
move the constant to the right-hand side and change it's sign
16x-4x=-27+99
collect like terms
12x= -27+99
calculate the sum
12x=72
divide both sides of the equation by 12
x=6
final solution: x=6
Which expressions are equivalent? *
2 points
2+6x AND 2(3x+1)
3(x+1) - (1+x) AND 2x+3
3x AND 4(x+1) -1x - 4
5.5 + 2.1x + 3.8x - 4.1 AND 1.4 + 5.9x
Submit
Answers
Which scale factor was applied to the first rectangle in the resulting image?
Enter your answer as a decimal in the box
Answers
Answer:
0.25 is the correct answer
Step-by-step explanation:
took k-12 test and got 100%
Bütünler iki açıdan büyük olanın ölçüsü küçük olanın ölçüsünün 4 katından 10°eksiktir. Buna göre büyük açı kaç derecedir?
Answers
Answer:
Step-by-step explanation:
x+y = 360
y = 360-x
x = 4y-10
x = 4(360-x)-10
x = 1440-4x-10
5x = 1430
x = 286°
Answer:34
Step-by-step explanation:
WHY DOES NO ONE REPLY TO MY Q"S!!!!!!
In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 57 acres. Suppose we randomly survey 41 farmers from 1940.
Answers
Answer:
117 is the smaller value and 231 is the larger value
Step-by-step explanation:
Standard deviation is 57
Middle 50% is average and one standard deviation to each direction
So if the average is 174
174 - 57 is 117
174 + 57 is 231
derive
Sinxy = x² + 2xy
Answers
Answer:
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Step-by-step explanation:
Step(i):-
Given
sin xy = x² + 2xy ...(i)
Apply
[tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]
[tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]
[tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
If a well is dug at -60 feet per day. How many days did it take to dig -5400 feet?
(Answer numerically ex: 30 Days answer = 30)
Answers
Answer:
90 days
Step-by-step explanation:
This one is just simple division, so you divide the goal number which is -5400 by -60 but in this situation you can just make them positives.
Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD
Answers
Answer: a, b, and c
Step-by-step explanation:
Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.
What is a polynomial graph equation?At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.
Determine the polynomial functions' zeros' even and odd multiplicities.
Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.
For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.
Given the data,
Let A, B, C, and D represent the graph.
Currently, the graphs' measurements are
A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.
Hence, it has a negative coefficient.
The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.
The third graph is a linear one that is now tilted downward.
Thus, it has a low efficiency.
Hence , the graphs are solved
Go here for additional information on polynomial graph equations.
https://brainly.com/question/16957172
#SPJ7
Find the value of x for this figure
Answers
Answer:
x = 101°
Step-by-step explanation:
15 + 25 + 39 + x = 180
79 + x = 180
x = 101
Suppose you log on to an online chess website and are randomly assigned a match against an opponent.
Suppose at any time on the site, 30% of opponents are rated ovice", 55% are rated mid", and 15% are
rated high". In a chess match, a player can either win, lose, or draw. Suppose that you win 75% and
draw 10% of matches against novice rated opponents, you win 50% and draw 20% of matches against
mid rated opponents, and you win 10% and draw 25% of matches against high rated opponents.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and
lose?
(b) For a randomly assigned match, what is the probability that you win?
(c) You play a match and win. What is the probability that you played a high rated opponent?
Answers
Answer:
a) 0.1125 = 11.25% probability that you play someone ranked high and lose.
b) 0.5435 = 54.35% probability that you win
c) 0.0690 = 6.90% probability that you played a high rated opponent
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and lose?
15% probability that you play someone that is ranked high.
If you play someone ranked high, 100 - 25 = 75% probability you lose
0.15*0.75 = 0.1125
0.1125 = 11.25% probability that you play someone ranked high and lose.
(b) For a randomly assigned match, what is the probability that you win?
75% of 30%(novice oponent)
50% of 55%(mid oponent)
25% of 15%(high opponent). So
[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]
0.5435 = 54.35% probability that you win
(c) You play a match and win. What is the probability that you played a high rated opponent?
Here, we use the conditional probability formula.
Event A: Winning
Event B: Playing a high opponent.
0.5435 = 54.35% probability that you win
This means that [tex]P(A) = 0.5435[/tex]
Intersection of events A and B:
25% of 15%(high opponent). So
[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]
Question:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]
0.0690 = 6.90% probability that you played a high rated opponent
The measure of the missing angle is
degrees.
Answers
Step-by-step explanation:
The exterior angles of a triangle is equal to the sum of two non - adjacent interior angles. Now , Set up an equation and solve for x.
[tex] \large{ \tt{x \degree = 63 \degree + 86 \degree}}[/tex]
[tex] \large{ \tt{x \degree = \boxed{ \tt{149 \degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] \underbrace{ \text{Carry \: On \: Learning}}[/tex] !! ✎
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Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.
Answers
Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
plz answer correctly 60 isnt the answer
Answers
Answer:
24
Step-by-step explanation:
multiply the suit, wig and talent
3x2x4 = 24
This year, the cost of an amusement park pass is twenty percent more than last year. This year's cost is described by an expression where p is last year's cost.
p + 0.20p
Which of these expressions is another way to describe this year's cost? whats the answer
Answers
Answer:
Step-by-step explanation:
Your answer
You have already write down a expression which is p + 0.2p
So another expression can be : 1.2p
Mark it as Brainlist answer. Follow me.
Answer:
1.20p
Step-by-step explanation:
I did it, and I got it right on my test.
Hope this helps :)
Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^
Answers
5/60=12
10/100=10
Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari
Answers
Answer:
Continuous random variable - The practically infinite number of possible values that a random variable can take on in an experiment
Random experiment - The process of observing the outcome of a random chance event
Probability - The number that quantifies the likelihood that a certain random event will happen
Sample space - All possible outcomes that can result from a random experiment
Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.
Statistical inference - The use of information from a sample to draw conclusions about the population
Sample mean - The most commonly used measure of central tendency of a distribution of data
Event - A subset of the sample space
Standard deviation - A measure of the extent to which the values in the data set differ from the mean
Outlier - An observation point that is distant from other observation.
a church choir in mogase has 77 members and they need minibuses and minibuses only carry 18 members how many minibuses are needed ?
Answers
Answer:
5
Step-by-step explanation:
Answer:
5 buses
Step-by-step explanation:
77 divided by 18 is 4.2 so the people need 5 buses to fit means 4 full buses and 1/5 of 5th bus is used
Pls help me I’ll brainlest I need a good grade on this
Answers
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
