If a(x) = 3x + 1 and b(x)= VX-4, what is the domain of (bºa)(x)?
0 (-0,00)
0 (0.00)
O [1,00)
O [4,00)
Answers
The domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex].
How to apply composition between functions
The composition of two functions consists in replacing the variable of the former function ([tex]b(x)[/tex]) by the latter function ([tex]a(x)[/tex]). If we know that [tex]b(x) = \sqrt{x-4}[/tex] and [tex]a(x) = 3\cdot x +1[/tex], then the composite function:
[tex]b\,\circ\,a \,(x) = \sqrt{(3\cdot x+1)-4}[/tex]
[tex]b\,\circ\,a\,(x) = \sqrt{3\cdot x-3}[/tex] (1)
Since the composite function is a square root function, then the domain fulfill the following inequation:
[tex]3\cdot x -3 \ge 0[/tex]
[tex]x \ge 1[/tex]
Hence, the domain of [tex]b\,\circ \,a\,(x)[/tex] is [tex][1, +\infty)[/tex]. [tex]\blacksquare[/tex]
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
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6, 7, 10,12,12,13
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Create your own problem using the following informatio
Then, solve it.
1. Ratio is 2:5:6= 78
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Create your own problem using the following information
ratio is 2:5:6=78
I WILL GIVE BRAINLIEST FOR CORRECT ANSWER. Explain how to use the distributive property to find the product (3) ( 4 1/5 ) .
Answers
Answer:
3x4 then you do 3x1/5 because youre distibuting to all numbers in this case multiplecation
Step-by-step explanation:
is 3 correct pls helppppppppppp
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Answer:
yes it is you didn't even have to ask the question
Step-by-step explanation:
hope this helped :)
a package has one face, no edges, and one vertex. what is the object?
Answers
Answer:
a cone
Step-by-step explanation:
Answer:
cone
Step-by-step explanation:
Question 7
Laura had 23 ounces of plant food. She wants to use the same amount of plant food each day on her garden. She wants to use all the plant food she has before buying more. Which statement is true?
If she uses plant food in her garden for 6 days, she uses
1
6
ounces of plant food each day
B
2
If she uses plant food in her garden for 10 days, she uses 2
23
ounces of plant food each day
Ounces of plant food each day
С
If she uses plant food in her garden for 8 days, she uses 3
8
8
1
D
If she uses plant food in het garden for 11 days, she uses 2 11 ounces of plant food each day
Answers
Answer:
(d) and (e) are true
Step-by-step explanation:
Given
[tex]Food = 23\ oz[/tex]
See attachment for proper presentation of question
Required
Select all true statements
For any option to be true, it must satisfy the following condition.
[tex]Days * Food = 23[/tex]
Option (a):
[tex]Days = 6[/tex]
[tex]Food = 4\frac{1}{6}[/tex] per day
So, we have:
[tex]Days * Food = 6 * 4\frac{1}{6}[/tex]
[tex]Days * Food = 6 * \frac{25}{6}[/tex]
[tex]Days * Food = 25[/tex]
This is not true because: [tex]25 \ne 23[/tex]
Option (b):
[tex]Days = 10[/tex]
[tex]Food = 2\frac{2}{23}[/tex] per day
So, we have:
[tex]Days * Food = 10 * 2\frac{2}{23}[/tex]
[tex]Days * Food = 10 * \frac{48}{23}[/tex]
[tex]Days * Food = \frac{480}{23}[/tex]
[tex]Days * Food = 21[/tex] --- approximated
This is not true because: [tex]21 \ne 23[/tex]
Option (c):
[tex]Days = 8[/tex]
[tex]Food = 3\frac{1}{8}[/tex] per day
So, we have:
[tex]Days * Food = 8 * 3\frac{1}{8}[/tex]
[tex]Days * Food = 8 * \frac{25}{8}[/tex]
[tex]Days * Food = 25[/tex] --- approximated
This is not true because: [tex]25 \ne 23[/tex]
Option (d):
[tex]Days = 11[/tex]
[tex]Food = 2\frac{1}{11}[/tex] per day
So, we have:
[tex]Days * Food = 11 * 2\frac{1}{11}[/tex]
[tex]Days * Food = 11 * \frac{23}{11}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
Option (e):
[tex]Days = 7[/tex]
[tex]Food = 3\frac{2}{7}[/tex] per day
So, we have:
[tex]Days * Food = 7 * 3\frac{2}{7}[/tex]
[tex]Days * Food = 7 * \frac{23}{7}[/tex]
[tex]Days * Food = 23[/tex] --- approximated
This is true because: [tex]23 = 23[/tex]
The value of a collectible toy is increasing exponentially. The two points on the graph
show the toy's initial value and its value 3 weeks afterward.
Answers
The question is incomplete. Here is the complete question.
Part A
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.
Express the toy's value t, in dollars, as a function of time w in weeks after purchase.
Part B
Write an expression to represent the toy's value 10 days after purchase
Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]
Part A
Translating to the question, the toy's value as a function of time is
[tex]t=ab^{w}[/tex]
To determine constants a and b, we use points given by graph.
First, (0,5) to find a:
[tex]5=a.b^{0}[/tex]
a = 5
Now, (3,10) to determine b:
[tex]10=5b^{3}[/tex]
[tex]b=\sqrt[3]{2}[/tex]
b = 1.26
The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]
Part B
Since, the function is in weeks:
1 week = 7 days
w weeks = 10 days
[tex]w = \frac{10}{7}[/tex]
Replacing w:
[tex]t=5.(1.26)^{w}[/tex]
[tex]t=5.(1.26)^{10/7}[/tex]
Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].
Lisa and Marie are both on the track team. During practice, Lisa ran 10 laps around
the track in 18 minutes. Marie ran 8 laps around the track in 14 minutes. Who ran at a
faster rate? If each runner continues at her same pace, how long would it take each
one to run 15 laps?
Answers
Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
A bus traveling from Memphis to Nashville has an average speed of 53 mph. How long will the trip take in hours if the distance between the two cities is 220 miles? ( HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK, DO NOT BOTHER ANSWERING IF YOU DO NOT SHOW WORK AND TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 48.14
B. 22.36
C. 192
D. 4.15
E. .50
F. 0
G. .251
H. 1.25
I. -135
Answers
Answer:
the answer is 4.15.
Step-by-step explanation:
this is super easy my ffriend. think about it. 53 miles per hour. how many miles do u go in an hour... 53 MILES PER HOUR. so you now know you go 53 miles every hour. so what you then do is see that it is 220 miles to ur destination. in an hour you go 53 miles so you take 220 DIVIDED BY 53 and you get ur answer.
question 1: Multiply and simplify.
x^2⋅x⋅x^5
(I got x^8 but I was unsure.)
question 2: Multiply and simplify.
(3x+7)8x^2
Answers
Answer:
question 1 = x7 and question 2 = 24x^3+56x^2 I'm pretty sure
8. Carter is saving up for a playstation. He has $120 right now, and can save $25 a month. If
the playstation costs $195, how many months must he save?
Answers
Answer:
Carter has to save for 3 months.
Step-by-step explanation:
120+25x=195
If you add 25 to 120, 3 times you get 195.
Therefore your answer is 3 months.
Mark brainliest pls and thank you.
QUESTION IN THE PHOTO
Answers
Answer:
ans is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
if Richard worked for 7 dollars and made 9 dollars and hour how much would he make?
Answers
Answer:
$63
Step-by-step explanation:
I believe you meant Richard worked for 7 hours and made $9 per hour.
In order to know how much Richard earned for 7 hours, you have to multiply Richard's salary rate with his number of working hours.
7 hours x 9 dollars/hour = $63Therefore, Richard earned $63 for his 7-hour work.
Additional Information
Another example is: if Richard worked for 10 hours, you just have to multiply his salary rate again to his number of working hours.
10 hours x 9 dollars/hour = $90In an isosceles triangle the base angles are both 32 degrees, find the vertex
Answers
Answer:
116 deg
Step-by-step explanation:
note that an isoceles triangle always have 2 base angles that are equal.
Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.
We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:
base angle + base angle + vertex angle = 180°
or,
32° + 32° + x° = 180°
64° + x = 180 deg
x = 180 - 64
x = 116 deg
Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
ID
소
C
What is the length of segment CD?
Answers
Answer:
4
Step-by-step explanation:
I took a quiz
Show instructions
Questions 1-5 of 5 | Page 1 of 1
Question 1 (1 point)
A cab company charges $2 per cab ride, plus an additional $2 per mile driven. If a cab ride is 7 miles long, how
much will it cost?
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Question 2 (1 point)
Rachel has already written 3 pages, and she expects to write 2 pages for every additional hour spent writing.
Write an equation that shows the relationship between the hours spent writing h and the total pages written p.
Answers
2+2x
2+2(7)
2+14
16 dollars
question 2
3+2h=p
The radius of a circle is 3 yards. What is the circle's circumference?
Answers
Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
Please help I’m doing points
Answers
3 7/8
Hope this helps! :D
Four out of 12 students like chicken better than steak. What percent prefer chicken
Answers
Answer:
33.333...(%)
Step-by-step explanation:
4 divided by 12 gives you 0.333... (3 repeating)
5.2 × _______ = 5.2 whats the answer
Answers
Answer:
1
Step-by-step explanation:
factorise xsquared - 9
Answers
Answer:
( x - 3) (x + 3)
Step-by-step explanation:
by factorizing and putting the formula
2 questions in 1
1. 3n for n=4
2. x + 8 for x=8
Answers
Answer:
2:16
Step-by-step explanation:
Answer:
1. 12
2.16
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
After selling half his old games, Sam went and bought 8 new ones. He
now has 30 games. How many did he start with?
Answers
Answer: He started with 44
Step-by-step explanation: 44/2=22
22+8= 30
The perimeter of the triangle is 30 cm
The perimeter of the rectangle is also 30 cm.
Use this information to find the area of the square below.
Answers
Answer:
square's area is 25.
Step-by-step explanation:
What is this number in numeric form?
four and two hundred fifty-nine thousandths
Answers
Answer:
.4259
or 4.259
Step-by-step explanation:
I D K if the and is a point or just an and.
:) hope this helps
Identify a chord that is not a diameter of the circle
Answers
Answer:
i think it is B
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
Step-by-step explanation:
(1, 72) (2, 73)
(73 - 72)/(2 - 1)= 1/1= 1
y - 72 = x - 1
y = x + 71
8
While at work, Nina checks her email once every 80
minutes. In her 8-hour work shift, how many times
does she check her email?
Answers
Answer:
8 i think
Step-by-step explanation:
The product of 3 and
increased by 5
Answers
Answer AND expaination
The product of a number and 3 increased by 5 is 7 less than twice the number which equation can be used to find this number , n?
its -7
the product of a number and 3: 3n
increased by 5: + 5
7 less than: - 7
twice the number: 2n
That gives us the following:
3n + 5 = 2n - 7
You only asked for the equation, not to actually help you solve for n, for note. If you do, just subtract 2n from both sides, and then subtract 5 from both sides.
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Answer:
here i did it i think sorry if im wrong
Step-by-step explanation:
The product of a number and 3 increased by 5 is 7 less than twice the number
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
y = 3x + 74
Step-by-step explanation: