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
If y varies directly as x and y =6 when x =2 ... find y when x=9
Answers
Answer:
27
Step-by-step explanation:
y = kx, where k is the constant of proportionality. If x = 2 and y = 6, that constant is determined as follows:
6 = k(2), or k = 3. Then y = 3x. When x = 9, y = 27
Daniel is helping his mom fold the laundry. He folds towels at a constant speed. He made the following table showing how many towels he could fold in a certain number of seconds.
HELP ME PLS ASAP PLS PLZ PLZ
Answers
Answer:
540 towels
Step-by-step explanation:
cross multiply
towels time
4 120
18 x
4x=120×18
x = 540
A positive - negative = what?
Answers
A positive - negative = either negative or positive
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
0
Step-by-step explanation:
+1-1=0 is that the theme of qustion .
answer plz plz for brainleiest
Answers
Answer:
-.5
Step-by-step explanation:
Answer:
B=0.5 or 1/2
its correct please give brainliest!!!
HELP! Brainliest to first correct answer with work shown!
Answers
Answer:
Step-by-step explanation:
A. f(8) = 11
B. f(x) = 7, so x = 3
Y varies inversely as the square of x. If y=10 and x=4, find x if y=8
Answers
Answer:
gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa
Solve for x
-18x + 21 > -15
OR
20x – 13 >27
Answers
Answer:
x<-3 or x>2, 2<x<-3
Step-by-step explanation:
Subtract/add from each side then divide, if dividing by a negative reverse the sign.
Answer:
all values are x
Step-by-step explanation:
Components used in a cellular telephone are manufactured with nominal dimension of .3 mm and lower and upper specification limits of .295 mm and .305 mm respectively. the x bar and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x bar chart at .3015 mm and the center line of the R chart at .00154 mm.
a) Estimate the mean and standard deviation of this process.
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Xbar = 0.3015 ; Rbar = 0.00154
USL = 0.295 ; LSL = 0.305
For a subgroup size of 3 ; k = 3 ; d2 = 1.693
The mean = xbar = 0.3015 mm
The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
P(X < 0.295)
(x - mean) / standard deviation
(0.295 - 0.3015) / 0.0009096 = 0.00003
0.00003 should be reworked.
P(X > 0.305)
1 - P(X < 0.305)
(x - mean) / standard deviation
(0.305 - 0.3015) / 0.0009096 = 3.847
1 - P(Z < 3.847)
1 - 0.99994
= 0.00006
0.00006 should be reworked.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.
Recommended mean = 0.3000 mm
P(X < 0.295)
(x - mean) / standard deviation
(0.295 - 0.3000) / 0.0009096 = 0.00003
0.00003 should be reworked.
P(X > 0.305)
1 - P(X < 0.305)
(x - mean) / standard deviation
(0.305 - 0.3000) / 0.0009096 = 5.497
1 - P(Z < 5.497)
1 - 0.99997
= 0.00003
0.00003 should be reworked.
Can anyone answer this please
Answers
17/2 is bigger than what?
Answers
Answer:
7/2= 8.5 so it can be bigger then 1/2 or anything under 8.5
Step-by-step explanation:
Find the value of x.
х
50°
Answers
The unknown value of x from the diagram is 80 degrees.
The given diagram is an isosceles triangle.
The base angle of an isosceles triangle are equal
The sum of angle in a triangle is also 180 degrees. Hence:
x + 50 + 50 = 180
x + 100 = 180
Subtract 100 from both sides
x + 100 - 100 = 180 - 100
x = 80 degrees
Hence the unknown value of x from the diagram is 80 degrees.
Learn more here: https://brainly.com/question/21680544
[7TH GRADE MATH] Can someone please explain how to round a square root to the tenth place without using a calculator.
(I WILL BE GIVING BRAINLIEST!!!!)
Answers
Answer:
Step-by-step explanation: To find a decimal approximation to, say √2, first make an initial guess, then square the guess, and depending how close you got, improve your guess. Since this method involves squaring the guess (multiplying the number times itself), it uses the actual definition of square root, and so can be very helpful in teaching the concept of square root.
Example: what is square root of 20?
You can start out by noting that since √16 = 4 and √25 = 5, then √20 must be between 4 and 5.
Then make a guess for √20; let's say for example that it is 4.5. Square that, see if the result is over or under 20, and improve your guess based on that. Repeat this process until you have the desired accuracy (amount of decimals). It's that simple and can be a nice experiment for students!
Answer:
The number’s square root is a number that, when multiplied by itself, equals the first number. Another way of saying this is: “What can we multiply by itself to get the number in question?”
Step-by-step explanation:
For example, the square root of 1 is 1 because 1 multiplied by 1 equals 1 (1X1=1). However, the square root of 4 is 2 because 2 multiplied by 2 equals 4 (2X2=4). Think of the square root concept by imagining a tree. A tree grows from an acorn. Thus, it’s bigger than but related to the acorn, which was at its root. In the above example, 4 is the tree, and 2 is the acorn.
Thus, the square root of 9 is 3 (3X3=9), of 16 is 4 (4X4=16), of 25 is 5 (5X5=25), of 36 is 6 (6X6=36), of 49 is 7 (7X7=49), or 64 is 8 (8X8=64), of 81 is 9 (9X9=81), and of 100 is 10 (10X10=100).[1]
What is the lateral area of a right prism which has a lateral edge of 4 inches and has a regular pentagon on base with an edge of 12 inches ?
Answers
Answer:
240 inches squared
Step-by-step explanation:
[tex]A=5*4*12=240[/tex]
Can someone please help me with my homework
Answers
Answer:
Do not use, there's still one more piece of the puzzle missing.
X =
Step-by-step explanation:
Lets look everything over and compare the corresponding parts of the 2 triangles.
One side of each is shared between the two triangles.
Another side of each triangle is 13 on each triangle.
The included angle of one triangle is 80 degrees and the other is 110 degrees.
Find the standard deviation of the given data rounded to the nearest hundredth, 147,141,120,124,128
Answers
Answer:
The correct answer is 10.30
Step-by-step explanation:
First, find the mean of the numbers by averaging them. Then, subtract the observation from the mean. Square them, then average them. Find the square root of this number and round to the nearest hundredth.
Answer:
10.30
Step-by-step explanation:
What is the value of X?
Answers
Answer:
X=20Step-by-step explanation:
because both angles are vertical they are equal to each other
lets solve 3x+50=6x-10
add 10 to 60
3x+60=6x
subtract 3x from 6x
60=3x
divide 3 on both sides
20=x
X=20
I hope this helped :)
If desserts are randomly made where each option is equally likely in each category, what is the probability you would get a dessert with a cone?
A) .4
B) .5
C) .6
D) .7
Answers
Answer:
B) .5
Step-by-step explanation:
two items, divide 1 by 2, get 1/2 becomes 0.5
Answer:
so 4546b can get brainliest. Also on the other on I answered too.
Step-by-step explanation:
how much interest is charge when 100,000 is borrowed for 6months at an annual simple interest rate of 12 percent
Answers
hope this helps Step-by-step explanation: 7200 cause 12 percent of 100,00 is 7200
20 + 30 + 90 + 2 + 278 + 7 + 2891 + 29 = Whats the answer?
Answers
Answer:
3347 is the answer. Hope that helps
Answer:
3347
Step-by-step explanation:
20+30=50
50+90=140
140+2=142
142+278=420
420+7=427
427+2891=3318
3318+29=3347
4x^2-19x-5=0
Solve by factoring
Answers
Answer:
x= −1/4 or x = 5
Step-by-step explanation:
Step 1: Factor left side of equation.
(4x+1)(x−5)=0
Step 2: Set factors equal to 0.
4x+1=0 or x−5=0
Answer:
x= −1/4 or x = 5
The factored form of the equation 4x²- 19x - 5 = 0 is (4x+1)(x-5).
The given equation is 4x²- 19x - 5 = 0.
To factor the quadratic expression on the left-hand side into two binomials.
The binomial factors will have the form (ax + b)(cx + d).
We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.
After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.
(4x² - 20x) + (x - 5) = 0.
4x(x - 5) + (x - 5) = 0.
(4x+1)(x-5)=0
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Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6
Answers
Answer:
The ans is 3,4,5
Step-by-step explanation:
Hope it helps you Tq
please tell fast plzzzzzz
Answers
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss
Answers
Answer:
-6 a b + b + a
Step-by-step explanation:
Simplify the following:
-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a
Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.
Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):
-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in -a b - 4 a b.
a b (-1) + a b (-4) = -5 a b:
-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in 3 a - a.
3 a - a = 2 a:
-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)
Hint: | Look for the difference of two identical terms.
2 b - 2 b = 0:
-(a b - b + a) - 5 a b + 2 a
Hint: | Distribute -1 over a b - b + a.
-(a b - b + a) = -a b + b - a:
-a b + b - a - 5 a b + 2 a
Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.
Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):
(-a b - 5 a b) + b + (-a + 2 a)
Hint: | Combine like terms in -a b - 5 a b.
a b (-1) + a b (-5) = -6 a b:
-6 a b + b + (2 a - a)
Hint: | Combine like terms in 2 a - a.
2 a - a = a:
Answer: -6 a b + b + a
What is 13x+14=???????
Answers
Answer:
x= -1.077
Step-by-step explanation:
(13x+14) -14=0(-14)
13x/(13)= -14/(13)
x= -1.077
Write the sentence as an equation.
251 is equal to m reduced by 119
Answers
Answer: 251=m-119
Step-by-step explanation:
251=m-119 There is nothing to explain.
PLEASE DO THIS AND SHOW WORK (USE INVERSE OPERATION)
Answers
Answer:
No bond, I was on the run, bet you can't relate
Totin' guns, shootin' sh,it for fun, bet you can't relate
Locked up, couldn't see my son, I bet you can't relate
Jumped the opps, ain't no one on ones, I bet you can't relate r.i.p my ni.gga von
Step-by-step explanation:
Kevin is designing a cover for a comic book. He wants to have a rectangular grid with x ^ 2 - 3x - 10 squares in it, for some positive whole number x. What are the possible side lengths for the grid?
A. There are no possible whole number side lengths.
B. (x + 2) and (x - 5)
C. (x - 2) and (x + 5)
D. (x + 2) and (x + 5)
Answers
Answer:
(X+2) and (x-5)
Step-by-step explanation:
what’s the answer please
Answers
Answer:
option c. complementary.
Answer:
answer. option c....
Step-by-step explanation:
option c
Can someone please tell me this equation?
Answers
Answer:
for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.
Step-by-step explanation:
f(x) = 3sinxº
Find f(22)
Give your answer correct to 3 significant figures.
Answers
Answer:
f(22) = 1.12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3sinx°
f(22) is x = 22
Step 2: Evaluate
Substitute in x: f(22) = 3sin22°Trig: f(22) = 3(0.374607)Multiply: f(22) = 1.12382Round: f(22) = 1.12