Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(x)? Question 20 options: A) g(x) = |3x| + 5 B) g(x) = |3x| +–5 C) g(x) = 3|x| +–5 D) g(x) = 3|x| + 5
Given:
The parent absolute function is
[tex]f(x)=|x|[/tex]
To find:
The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
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.
Parent function is translated up by 5 units. So, b=5
It is vertically stretched by a factor of 3. So, k=3.
There is no horizontal shift. So, a=0.
Now, putting k=3, a=0 and b=5 in (1), we get
[tex]g(x)=3f(x+0)+5[/tex]
[tex]g(x)=3f(x)+5[/tex]
[tex]g(x)=3|x|+5[/tex] [tex][\because f(x)=|x|][/tex]
Therefore, the correct option is D.
An auditorium can seat as many as 1,200 people. The first row has 35 seats. Each of the other rows has 40 seats. What is the maximum(most) number of rows of 40 seats that can be set up in the auditorium?
Answer:
29 rows of 40
Step-by-step explanation:
1200-35=1165
1165/40=29.125
What expression is equivalent to 7.2x7.2x7.2
Step-by-step explanation: 7.2^3 or 7.2 cubed=373.248. I hope I helped.
The sale tax on $25,000 car is $1375 what is the sales tax rate
Answer:
Tax rate is 5.5% because 1,375/25,000 is equal to 0.055 which is 5.5 in percentage form. To prove it you can multiply 25,000 by 0.055 and get 1,375.
Step-by-step explanation:
Sales tax rate is 5.5% of cost of car.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given,
Price of the car = $25000
Tax on car = $1375
Sales tax rate = ($1375/$25000)×100
= 0.055 × 100
= 5.5%
5.5 % of sales tax is applied on the cost of car.
Learn more about percentage here:
https://brainly.com/question/1578304
#SPJ2
What makes two events independent?
A.
The outcome of one event is the same as the outcome of the other event.
B.
The outcome of one event is changed by the outcome of the other event.
C.
The outcome of one event occurs at a different time than the outcome of the other event.
D.
The outcome of one event is not changed by the outcome of the other event.
Answer:
I think these are the correct answers:
C.
The outcome of one event occurs at a different time than the outcome of the other event.
D.
The outcome of one event is not changed by the outcome of the other event.
Y=? X=?
HELP ASAP PLEASE
Answer:
y=1/2x-3
Step-by-step explanation:
I hope you meant slope of the line...
You can find the slope like this-
1/2x= how you move (so m for move)
-3 =where you begin (so b for begin)
So next time you find the slope, just ask yourself where you "begin" (where the line starts) and how you "move" (how the line moves)
Answer these two easy questions i give out brainlest
Answer: 1) true 2) false
**15 Points**
Find the rate of change.
Graph attached
A. –7,500; The value drops $7,500 every year.
B. –750; The value drops $750 every year.
C. –75; The value drops $75 every year.
D. –1; The value drops $1 every year.
Answer:
B
Step-by-step explanation:
If you help me I’ll give brainliest and 20 points
Answer:
I believe its 1, 2, and 4
Step-by-step explanation:
hope I helped I may be wrong tho
.................................................
what is the range of the following numbers
12, 20, 18, 25, 6
Answer:
The answer is 19
Step-by-step explanation:
Range is the difference between the largest and smallest number, so in this case the largest number is 25 and the smallest number is 6. Subtract 25 and 6 to get the range. So the answer would be, The range of the following numbers is 19.
A store sells posters each poster cost the same amount door I sell the store reduces the price of each poster by $1.25 Kayla spent $17.17 on for posters at the sale price. What was the price of one poster before the sale?
Complete question :
store sells posters each poster cost the same amount door I sell the store reduces the price of each poster by $1.25 Kayla spent $17.17 on four posters at the sale price. What was the price of one poster before the sale
Answer:
5.5425
Step-by-step explanation:
Given that:
Price of posters are the same.
Let price of poster before sale = x
Sale on poster = reduction by $1.25
Price on sale = x - 1.25
Amount spent on 4 posters during sale = $17.17
Hence, cost per poster during sale :
$17.17 / 4
= $4.2925
Therefore, cost per poster before sale, x:
Price on sale = x - 1.25
$4.2925 = x - 1.25
x = $4.2925 + $1.25
x = $5.5425
Which of the following statements is not true?
A. Consecutive angles of a rhombus are supplementary.
B. Diagonals of all parallelograms bisect each other.
C. Trapezoids have exactly one pair of parallel sides.
D. Opposite sides of trapezoids are equal.
Answer:
A (had to be 20 letters for me to send this :')
Step-by-step explanation:
6(x + 3) − 3 = 39 whats the solution of x?
Answer:
x = 4
Step-by-step explanation:
6(x+3)-3= 39
6x+18-3 =39
6x+15 =39
-15 -15
6x= 24
/6 /6
x=4
Answer:
x=4
Step-by-step explanation:
Do distributive property
6(x + 3) − 3 = 39(multiply 6 by all the numbers in the brackets)
6x+18=39 (subtract 18 on both sides)
6x=24 (divide 6 on both sides)
x=4
1.8 = 2.1h - 5.7 - 4.6h
h= __
Answer:
how are you doing
Step-by-step explanation:
if i make 25 dollars in 5 hours what would be the constant rate of change
Answer:
5 would be your answer.
Step-by-step explanation:
The answer is 5 because you have to divide 25 by 5, and you will get 5.
If I'm wrong, please let me know.
Hope this helps.
Have a great day! :)
Answer:
5
Step-by-step explanation:
This is right because you would divide 25 by 5 and you would get your answer. You make $5 every hour
the value of √42 is
a. rational
b. irrational
number. It’s value is
between
a. 3 and 5
b. 5 and 7
c. 7 and 9
Answer:
the value of √42 is an irrational number.
Step-by-step explanation:
also the number, its value is between 5 and 7
Answer:
irrational number.
bm 5 and 7
Helpppppppppo meeeee plsssss
Answer:
Step-by-step explanation:
[tex]38.7=[/tex] [tex]38.7 / 10^{2}[/tex]
[tex]38.7= 38.7 times 10^{3}[/tex]
[tex]38.7=38.7 times 10^{4}[/tex]
Hope this helps :)
4a - 7 = 5
What is the answer 2 step equation
Answer:
A= 3
Step-by-step explanation:
4a - 7 = 5
move the constant to the right
4a= 5+7
divide
4a=12
Awnser:
A= 3
Of 3,400 babies in a hospital, 1244 are boys and the rest are girls. What
percentage are girls?
9514 1404 393
Answer:
63.4% are girls
Step-by-step explanation:
The percentage that is boys is ...
1244/3400 × 100% = 36.6%
The remaining fraction is girls:
100% -36.6% = 63.4% . . . girls
Expand the brackets 5(2x + 3)
Answer:
10x+15
Step-by-step explanation:
5 x 2x=10x
5x3=15
Answer:
10x+15
Step-by-step explanation:
5 x 2x= 10x
5 x 3= 15
10x+15
The total cost, c, in dollars, of b bottles of water is c = 1.1b. What is the canstant of proportionality?
Answer:
1.1
Step-by-step explanation:
help plz and give the correct answer plz will give brainly
IT'S URGENT
The formula for the area of a square is s to the second power if the length of the slide is 4.14 what is the area
Answer:
A = 17.1396 units
Step-by-step explanation:
A = s^2
A = 4.14^2
A = 17.1396 units
last 60 points i got whoever answers first and correct gets brainliest
(50+50-90)/2+95/2+19
have a good day and drink water :)
Answer:
try 71.5
or
143/2
Step-by-step explanation:
Answer:
-187,190
i hope this help
solve z=9/13 c for c
Answer:
3x-x+2=4 :)
Step-by-step explanation:
Hope this helped! :3
A student is 7 years old. If you triple the teachers age and add the student's age the answer is 163. How old is the teacher?
Answer:
52
Step-by-step explanation:
We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:
[tex]3x + 7 = 163[/tex]
We want to isolate the variable, so subtract 7 from both sides. This gives us:
[tex]3x = 156[/tex]
Finally, we divide both sides by 3, giving:
[tex]x=52[/tex]
So the teacher is 52 years old.
Hope this helps!
Answer: The teacher is 52.
Equation: 7+3t=163
given vxy and vwz what is vw
Answer:
VW=21.6
Step-by-step explanation:
VW/(44-27.5)=36/27.5
VW/16.5=36/27.5
27.5SW=36(16.5)
27.5VW=594
VW=21.6
Kelly goes to the store and buys 9 boxes of cookies. The cost of each box is represented with the letter c. Which expression could you use to show how much money Kelly spent?
Answer:
9c because you don't know how much money Kelly actually spent so instead of doing 9 x the price of each box, you replace it with c, so it's 9c
Step-by-step explanation:
Max was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Max's cookies were left after the bake sale?
Answer: there are 8 cookies left
Step-by-step explanation:
Let's count how many cookies Max baked:
125% = 1.25
64 × 1.25 = 80
Let's count how many cookies were sold:
90% = 0.9
80 × 0.9 = 72
Leftover cookies:
80 - 72 = 8
c
84 mi
35 mi
What is the length of the hypotenuse?
C =
miles
HELP NOW
Answer:
91
Step-by-step explanation:
to find the hypotenuse you do a^2+b^2=C^2
84^2+35^2 = 8281
the square root of 8281 is 91