Answer:
The interval notation for the domain is [tex][\frac{23}{3},\infty ][/tex].
Step-by-step explanation:
Consider the provided information.
It is given that [tex]\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7[/tex]
We need to find the value of [tex]f\left(g\left(x\right)\right)[/tex].
Put the value of g(x) in [tex]f\left(g\left(x\right)\right)[/tex].
[tex]f\left(g\left(x\right)\right)=f(x-7)[/tex] ....(1)
Now, put x=x-7 in [tex]\:f\left(x\right)=\sqrt{3x-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3(x-7)-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3x-21-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3x-23}[/tex]
From equation 1.
[tex]f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}[/tex]
The domain of the function is the set of input values for which a function is defined.
Here, the value of [tex]3x-23[/tex] should be greater or equal to 0 as the square root of a negative number is not real.
Domain= [tex]3x-23\geq0[/tex]
[tex]x\geq\frac{23}{3}[/tex]
The value of x is all real number greater than [tex]\frac{23}{3}[/tex].
Hence, the interval notation for the domain is [tex][\frac{23}{3},\infty ][/tex].
PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answer:
292.32
Step-by-step explanation:
i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer
The tallest man in the world is about 101 inches tall. The shortest man in the world is about 29 inches tall. How much taller is the tallest man than the shortest man?
Answer:The tallest man is 72 inches taller than the shortest man.
Step-by-step explanation:
Subtraction:
101in-29in=72inches
Answer:
72 inches taller
Step-by-step explanation:
29in+x=101x=101-29x=72Anybody know this need help??
Answer:
42 mi
Step-by-step explanation:
To find the perimeter, just add up all the side lengths.
13 + 14 + 15 = 42
Note this is mi and not mi² since this is not area.
Answer:
i think i know. . if its asking for the perimeter, its talking about around the triangle soooo C
Step-by-step explanation:
I'm sorry if you get it wrong. .
Guys I need help ASAP I am giving 55 points
Answer:
The answer is 80°
Step-by-step explanation:
pls give brainliest!
all angles = 360°
100+100+80=280°
360°-280°=80°
February 29th is on Sunday. on what day will the next February 29th be?
Answer: Friday
Step-by-step explanation:
If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.
First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.
We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.
Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
????????????????????
Answer:
180 - y
Step-by-step explanation:
The exterior angle is equal to 180 minus the interior angle.
Answer:
The total angle a triangle have is 180
so now subtract it by 50
180-50 = 130
and the other angle we get is by subtracting 180-92 which is 88
y=88 degree
now x=180-(88+50)
=42
so x=42
Need help asap Pleaseee
Answer:
the answer is 144 feet and I don't really have an explanation
Answer:
Radius = 12 feet
Step-by-step explanation:
The area of a circle formula is Area = pi r^2 ("r" represents the radius)
The area of Circle Q is 144pi
You can substitute "Area" with 144pi, which would look like this:
144pi = pi x r^2
Now divide both sides with "pi", which gives:
144 = r^2
Finally, square root both sides:
sqrt(144) = sqrt(r^2) (sqrt = square root)
And that gives
12 = r
So the radius is 12 feet.
On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before
Answer:
its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.
Please help me, 30 points, really easy.
Find the missing dimension. Use the scale factor 1 : 12.
Answer:
15in
Step-by-step explanation:
Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x . Cross multiply to get that 12x = 180 and x = 15 inches.
2/3 + 9/12 add fractions with unlike denominators
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} + \frac{9}{12}[/tex] <-- let's change 2/3 into a fraction that has 12 as the denominator
[tex]\frac{2}{3}[/tex] × 4 <-- multiply both the numerator and the denominator by 4
2 × 4 = 8 <-- new numerator
3 × 4 = 12 <-- new denominator
now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]
[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex] <-- let's change it into a mixed number
17 ÷ 12 = [tex]1\frac{5}{12}[/tex]
Answer: its 17/12
Step-by-step explanation:
-2(v – 7) – 8v(-2v – 8)
Answer:
= 16v^2+62v+14
Step-by-step explanation:
I recommend you using the website "Symbolab Algebra Calculator". It will really help you.
Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters
The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.
Area of a circle
area = πr²
where
r = radius of the circleThe area of the shaded portion is the difference of the area of the large and small circle.
Therefore,
area of the large circle = πr²
area of the large circle = 3.14 × 24²
area of the large circle = 3.14 × 576
area of the large circle = 1808.64 m²
Therefore,
area of the small circle = 3.14 × 6²
area of the small circle = 3.14 × 36
area of the small circle = 113.04 m²
The area of the shaded region = 1808.64 - 113.04 = 1695.6 m²
learn more on area here: https://brainly.com/question/16761235
Triangle JKL is formed by plotting three points, as shown below. What is the length of side
JK?
Answer:
5
Step-by-step explanation:
You have to add the boxes between j and k and that’s how u get your length
Approximate the solution of the system to the nearest thousandth.
Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
Jordan made a wooden square box. All sides of the wooden are 6 cm. If he wants to increase the length of all sides by 1.6 cm, what will be the perimeter and area of the new box
Answer:
Perimeter: 30.4 cm
Area:57.76
Step-by-step explanation:
6cm+1.6cm=7.6cm
Perimeter:7.6x4
Area:7.6x7.6
A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.
what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.
Formula (y=mx+b)
Answer:
$37
Step-by-step explanation:
Delivery fee- $10
each sandwich- $4.50
Sandwiches ordered- 6
4.50(6)+10=37
I don’t understand this
Answer:
3 to 1
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
OA' : OA
= 27 : 9 ( divide both parts by 9 )
= 3 : 1
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
please help! algebra 2
Help and explain please?
Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece?
Answer: 6 2/3 ft
Explanation:
1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)
2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)
3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)
A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.
First 3 people get a brainly
Step-by-step explanation:
what is the unit of measurement for the 1/4, 1/4, and 1/2?
A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?
Answer:
28
Step-by-step explanation:
You can have 8 1x2 verical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
1+7+1+9+10=28
Solve for x*
X+ 19
14 + x
Answer:
x=-9
Step-by-step explanation:
2(14+x)=x+19
28+2x=x+19
x=-9
direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
what does y equal?......
Answer:
37
Step-by-step explanation:
4. An angle is 50° more than its supplement. Find the angles.
Answer:
The angles measure [tex]65[/tex]° and [tex]115[/tex]°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for
[tex]x+x+50=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x+50=180[/tex]
[tex]2x+50=180[/tex] (Simplify LHS)
[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]2x=130[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=65[/tex]
Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!
What is the volume of this cylinder?
8cm
20cm
Answer:160
Step-by-step explanation:
Answer:
there is no picture but if you make another post with the picture, I will more than gladly answer it :)
Step-by-step explanation:
subject: [Mathematics]
Answer:
Whole number
rational numbers
natural number
interger
Step-by-step explanation: