Answers
Answer:
4th option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left by a units
• If a < 0 then shift right by a units
-------------------------------------------------
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then
g(x) = [tex](\frac{1}{4}) ^{x-3}[/tex] + 5
is f(x) shifted 3 units right and 5 units up
Related Questions
A radio station tower was built in two sections. From a point that is 70 feet from the base of the tower, the angle of elevation to the top of the section is 28 degrees, and the angle of elevation to the top of the second section is 40 degrees. What is the height of the top section of the tower to the nearest tenth of a foot?
Answers
Answer:
21.5 feet
Step-by-step explanation:
d = Distance of the bottom of the tower to the point of observation
x = Height of the top section of the tower
a = Height of bottom section
b = Total height of tower
[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]
[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]
[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]
The height of the top section of the tower is 21.5 feet.
Find two integers whose sum is 4 and product is -45
Answers
Answer:
9 and -5
Step-by-step explanation:
Tell how many edges each solid figure has:
Answers
Answer:
1. 12
2. 0
3. 9
Step-by-step explanation:
Solve this PLZZZZZZ
Answers
Answer:
X = -1, 3
Step-by-step explanation:
Two trains, Train A and B, weigh a total of 251 tons. Train A is heavier than train B. The difference of their weights is 181. What are the weights of each train?
Answers
Answer: A = 216; B = 35
Step-by-step explanation:
Based on the information given in the question, we can then make it into a mathematical equation. This will be:
A + B = 251 ....... i
A - B = 181 ....... ii
From equation i,
A = 251 - B
Put the value of A into equation ii
A - B = 181
(251 - B) - B = 181
251 - B - B = 181
251 - 2B = 181
2B = 251 - 181
2B = 70
B = 70/2
B = 35
Since A = 251 - B
A = 251 - 35
A = 216
find the slope of 12x-3y=6
Answers
Answer: 4
Step-by-Step Explanation: When written in slope-intercept form, the equation becomes y = 4x - 2; the basic structure of this formula is y=mx+b, where m is the slope and b is the y-intercept.
Knowing this information, we can also figure out the slope and y-intercept. 4, or m, is the slope of the proposed line.
PLEASE HELP HURRY 20 POINTS AND I WILL MARK BRAINLEST
Justin’s pay is represented by this line graph.
How much is Justin paid for one hour of work?
Answers
SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context
Answers
Answer:
The population is 384 bacteria at 2pm
Step-by-step explanation:
Because u just need multiplied
Which table correctly shows Brian and Robert's heights in both feet and inches?
Answers
Explanation is in the file
tinyurl.com/wpazsebu
- Select all expressions that are equivalent to -96x + 120.
A. 8(-12x+15)
B. -12(8x-10)
C. -8(12x+15)
Answers
Answer:
A and B are equivalent to -96x + 120
Step-by-step explanation:
-96x + 120
A. 8 (-12x + 15)
8 * -12x = -96x
8 * 15 = 120
8 (-12x + 15) = -96x + 120
-96x + 120 = -96x + 120
Equivalent
B. -12 (8x - 10)
-12 * 8x = -96x
-12 * -10 = 120
-12 (8x - 10) = -96x + 120
-96x + 120 = -96x + 120
Equivalent
C. -8 (12x + 15)
-8 * 12x = -96x
-8 * 15 = -120
-8 (12x + 15) = -96x-120
-96x + 120 ≠ -96x - 120
Not Equivalent
shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amount of money in her account, A dollars after n weeks.
Answers
540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.
12 am 6om 60 A 180 cm B) 160 cm C 200 cm D 240 cm? ~PLEASE RESPOND AND LOOK AT PIC~
Answers
hey besties first to answer gets brainliest bc i forgot how to calculate triangles
Answers
Choose the letter of the point which is at (3.5, 3.5) in the following figure.
Answers
3.5 across, 3.5 up
what is quarter to twelve on the 24 hour clock
Answers
Answer:
11:45
Step-by-step explanation:
Ben purchases a coffee and several cupcakes. If he spends a total of $14.40, how many cupcakes did he purchase. Prices Coffee: .............. $1.90 cupcake: .................$2.50
Answers
Answer:
5 cupcakes
Step-by-step explanation:
5 ×$2.50 is $12.50+ $1.90 is $14.40
plsss help i need a good grade
Answers
Answer:
Step-by-step explanation:
what is the mixed number: 1 and 3/4 as a percent
Answers
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
An initial investment of $200 is worth $315.24 after seven years of continuous compounding. Find the interest rate.
Answers
Answer:
16.46
Step-by-step explanation:
subtract 315.24-200=115.24
then divide 115.24 and 7 to see what you get each year which is 16.46 rounded not rounded id 16.462857143.
Find the sum of the first 6 terms of the following series, to the nearest integer.
180, 30, 5, ...
Answers
Answer:
Step-by-step explanation:
First solve for the common ratio:
[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]
Use the geometric summation equation to solve for sum:
[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]
The sum of the first 6 terms of the following series is 540.
What is the geometric series?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.
The sum of the terms of the geometric sequnece is given by;
[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
The common ratio of the sequence is;
[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]
The sum of the first 6 terms of the following series is;
[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]
Hence, the sum of the first 6 terms of the following series is 540.
Learn more about geometric sequence here;
https://brainly.com/question/8934175
#SPJ2
Find the dimensions of the square or circle.
Answers
Complete question is;
Find the dimensions or, the square or circle. Area = 64π in²
Answer:
r = 8 inches
Step-by-step explanation:
We know that formula for area of a circle is; A = πr²
Where r is radius.
We are given Area as 64π in²
Thus;
πr² = 64π
π will cancel out to give;
r² = 64
r = √64
r = 8 inches
Three subtracted from x is greater than -25.
Answers
if the question is asking what is X then the answer is
X - 3 >-25
X >-25+3
X >-22
Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.
3, 10, 6, 9, 7, 4
Answers
Answer:The mean absolute deviation (MAD) of the data set=2.17
Step-by-step explanation:
The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each data value in a data set.
Given the data set
3, 10, 6, 9, 7, 4
First find the mean
Mean =Sum of data set / Number of data set
=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5
Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean
Value distance from mean
3, 6.5 -3 3.5
10 6.5 -10 3.5
6, 6.5-6 0.5
9, 6.5 -9 2.5
7, 6.5 -7 0.5
4 6.5 -4 2. 5
Last step is to find the mean of the distances which is
Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) / 6
=13/6
=2.166666 rounded up to 2.17
Find the value of x.
110
80
40
35
Answers
Answer:40
Step-by-step explanation:
Which equation has solution x = -3? *
2x - 7 = -1
3x + 8 = 1
1/2x + 8 = 10
1/2(2x - 6) = -6
Please help me
Answers
Answer:
1/2(2x-6)= -6
Step-by-step explanation:
Multiply the two sides by the equation 2
2x-6=12
move the constant to the right hand side change sign
2x = -12 + 6
calculate the sum
2x= -6
Divide the 2 sides by 2
x= -3
PLEASEEE HELP!
The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up?
Answers
Answer:
4
Step-by-step explanation:
120/30=4
12 volunteers already signed up.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
She knows that finishing the shed will take 120 work hours.
let n be the number of volunteers.
So, 1/n - 1/(n+1)= 1/120
(n+1-n)/n(n+1)= 1/120
1/n²-n = 1/120
n² - n= 120
n² - n -120= 0
n= 11.46 and n= -10.46
Thus, 12 volunteers already signed up.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
write your answer (168 ÷ 7) × 3^2 - 43
Answers
Answer:
173
Step-by-step explanation:
Answer:
173
Step-by-step explanation:
Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.
Select all true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.
B The cost is $7 per ticketThe cost is $7 per ticket
C For $42 you could get 6 tickets. For $42 you could get 6 tickets.
D 12 tickets would cost you $60
Answers
Answer:
B
Step-by-step explanation:
28/4=7 therefore, each ticket is $7.
Answer:
B, C
Step-by-step explanation:
A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.
B is right due to the fact that each ticket is $7 if you divide $28 by 4.
C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)
D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 110 and a standard deviation of 10. What percentage of males in the town that have a systolic blood pressure between 113 and 134, to the nearest tenth?
Answers
Answer:
37.4
Step-by-step explanation:
4(g - h) + 10 , when g = 12 , h = 7
Answers
Answer: 30
Step-by-step explanation:
4 (12 - 7 ) + 10
Do 12 - 7 first. It'll equal 5
4(5)+10
Now multiply 4 and 5.
It'll be 20.
20+10 =30
Answer:
30
Step-by-step explanation:
4(12-7)+10 or: 4(12-7)+10
48-28+10 4(5)+10
20+10 20+10
30 30
you can do it either way hope this helps