Answers
============================================
Work Shown:
[tex]g(x) = \frac{(x-1)^2}{3}\\\\g(f(x)) = \frac{(f(x)-1)^2}{3}\\\\g(f(x)) = \frac{(1+\sqrt{3x}-1)^2}{3}\\\\g(f(x)) = \frac{(\sqrt{3x})^2}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]
The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.
Related Questions
Which system of inequalities with a solution point is
represented by the graph?
y> 2x - 2 and y < -1/2x + 1; (3,1)
y> 2x - 2 and y< -1/2x + 1; (-3,1)
y>2x+2 and y < - 1/2x - 1; (3,1)
y> 2x+2 and y < -1/2x + 1; (-3,1)
Answers
Answer:D
Step-by-step explanation:
Answer: D. y>2x+2 and y<-1/2x+1; (-3, 1)
Step-by-step explanation:
What is the value of a in the equation 3 a plus b equals 54 when b equals 9?
Answers
Answer:
a= 15
Step-by-step explanation:
Given
3a + b = 54 ← substitute b = 9
3a + 9 = 54 ( subtract 9 from both sides )
3a = 45 ( divide both sides by 3 )
a = 15
Select all of the symbols that would make the comparison true. 2.5___2.05
Answers
Answer:
the 2.5 has is the bigger one
Step-by-step explanation:
if you are talking about "which one is greater" than i think its right
10 + 10 + 10 is equal to
30
40
50
1
Answers
Answer:
30
Step-by-step explanation:
10 + 10 = 20 + 10 = 30
Another way is 10 • 3 = 30
In the diagram shown, lines m and n are
crossed by transversal line t. Why are m and
n not parallel?
Answers
Answer:
Step-by-step explanation:
If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,
Sum of interior consecutive angles should be 180°.
(Property of the angles formed between parallel lines and a transversal line)
Therefore, 114° + 64° = 180°
178° = 180°
Which is not true.
Therefore, lines 'm' and 'n' are not the parallel lines.
Which statement about numbers is true?
A. All integers are natural numbers.
B. All rational numbers are integers.
C. All natural numbers are whole numbers.
D. All rational numbers are natural numbers.
Answers
Answer:
C) All natural numbers are whole numbers.
Step-by-step explanation:
I got the awnser right on my quiz.
Hope this helps! :)
Answer:
c
Step-by-step explanation:
What is the image point of (-4, 2) after a translation left 1 unit and down 2 units?
Answers
Answer:
(- 5, 0 )
Step-by-step explanation:
A translation of 1 unit left means subtract 1 from the x- coordinate.
A translation of 2 units down means subtract 2 from the y- coordinate.
(- 4, 2 ) → (- 4 - 1, 2 - 2 ) → (- 5, 0 )
The translated coordinate is (-5, 0).
What is Translation?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
Image point (-4, 2)
And, now we have to translate the figure left 1 unit and down 2 units
So, A translation of 1 unit left means subtract 1 from the x- coordinate.
and translation of 2 units down means subtract 2 from the y- coordinate.
Thus, (- 4, 2 ) ----> (- 4 - 1, 2 - 2 ) ----> (- 5, 0 )
Hence, the translated coordinate is (-5, 0).
Learn more about translation here:
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What is the slope of the line that passes through the points A(0, 1) and B(2, 7)?
Answers
Answer:
3
Step-by-step explanation:
We can use the formula [ y2-y1/x2-x1 ] to solve.
7-1/2-0
6/2
3
Best of Luck!
write the equation of the line that is perpendicular to x+y=-5 and passes through the point (7,3)
Answers
Answer:
x - y = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = - 5 ( subtract x from both sides )
y = - x - 5 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , thus
y = x + c ← is the partial equation
To find c substitute (7, 3) into the partial equation
3 = 7 + c ⇒ c = 3 - 7 = - 4
y = x - 4 ← equation in slope- intercept form
subtract y from both sides
0 = x - y - 4 ( add 4 to both sides )
4 = x - y , that is
x - y = 4 ← equation in standard form
what is the equivalent expression of 0.5
Answers
Answer:
1/2=0.5
Step-by-step explanation:
What values from the set 1 2 3 4 5 make the inequality true ? n + 2 < 6
Answers
Answer:
1, 2, 3
Step-by-step explanation:
There are 24 students in a classroom.
1/3 of the students are wearing a red shirt.
1/4 of the students are wearing a blue shirt.
Everyone else is wearing a white shirt.
How many students in the classroom are wearing a white shirt?
amswer choices
7 students
10 students
17 students
Answers
1/3 of 24 is 8
1/4 of 24 is 6
8+6=14
24-14=10
so 10 students is the answer
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST!!!!
The figure shows Triangle ABC and some of its transformed images on a coordinate grid: A coordinate plane is shown. Triangle ABC includes points negative 10 comma 2, negative 7 comma 5, and negative 7 comma 3. Triangle 1 has endpoints negative 6 comma 3, negative 6 comma 5, and negative 3 comma 2. Triangle 2 has endpoints 2 comma 3, 2 comma 5, and 5 comma 2. Triangle 3 has endpoints negative 9 comma negative 1, negative 7 comma negative 1 and negative 5 comma negative 4. Triangle 4 has endpoints negative 1 comma 1, negative 1 comma negative 1, and negative 4 comma negative 2. Which of the four triangles was formed by a translation of Triangle ABC?
a. 1
b. 2
c. 3
d. 4
Answers
Answer:
4
Step-by-step explanation:
they cant change the angle or the way they face
Answer:
Actually it is 3
Step-by-step explanation:
Because i said so and i calculated it.
Please help asap I need help 25 points
Answers
i will first find the number that if u multiply 3 times u get 216
which is
6
so
rewrite it as (- 1/6)^3
and we pull this together it becomes - 1/6
-
−0.16
there is a bar (-) on top of 6
Can someone help me identify what kind of angle this is? corresponding, alternate exterior, alternate interior etc
Answers
find the value of x- PLEASE HELP!!!
I need to show my work
Answers
Answer:
x = 73
Step-by-step explanation:
so a circle is 360degrees,
the components that make up the 360 degrees are given, so form an equation and solve
295 + 38 + x - 46 = 360
solve with inverse operations and simplifying
295 + 38 + x - 46 = 360
-295 -295
38 + x - 46 = 65
-38 -38
x - 46 = 27
+ 46 +46
x = 73
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2010 was 164, and then went down by 50% in 2011. How many robberies were there in Springfield in 2011?
Answers
Answer:
82
Step-by-step explanation:
164 * 0.5 = 82
You are taking the current number 164, and halving it.
matthews bed takes up 1/3 of the width of his bedroom 3/5 of the length. what fraction of the area of the floor does matthews bed take up?
Answers
(............)
Answer:
1/5 (one fifth)
Step-by-step explanation:
if x is the length of the bedroom and y is the width then we can do big brain maffs
Length of floor = x
Width of floor = y
Length of bed = 3/5*x or 3x/5
Width of bed = 1/3*y or y/3
Area of floor = xy
Area of bed = 3x/5 * y/3 = xy/5
Area of bed/Area of floor = (xy/5) / xy = 1/5
Tony made $90 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answers
Answer: $216
Step-by-step explanation:
If you divide 90 by 5 then you get 18 so 18 multiplied by 12 is 216.
The GCF of 12 and 28 is _____.
Numerical Answers Expected!
Answers
Answer:
4
Step-by-step explanation:
Prime Factorization of the numbers:
12=2x2x3
28=2x2x7
GCF(12,28)
=2x2
=4
PLEASE HURRY
Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x= 1.5
0 1 / 2 x - 1.5=7
o 2-7=15
07-3=1.5
Answers
Answer:
C
Step-by-step explanation:
Your welcome!!!!!!!!
Xavier takes 2.5 hours to drive 185 kilometers. What is his speed?
Help
Answers
Answer:
74 km/hr
Step-by-step explanation:
185 km / 2.5 hr = 74 km/hr
74km/h
Explanation:
The formula we need for this problem:
Speed=Distance/Time
1) Input the values
Speed=185/2.5
Speed=74
Therefore, Xavier is driving at a speed of 74km/h.
I hope this helps! Please comment if you have any questions.
URGENT, The following table shows the expressions that represent the sales of 4 companies:
Company A, B, C, D
Sales 110(0.70)^x, 140(1.07)^x, 430(1.90)^x, 310(1.14)^x
Rank the company sales by smallest to largest percent of increase and select the correct answer below.
1) A, B, C, D
2) A, B, D, C
3) D, C, B, A
4) D, C, A, B
Answers
Answer:
ABDC
Step-by-step explanation:
Company A B C D
Sales 110(0.70)x 140(1.07)x 430(1.90)x 310(1.14)x
the order from least to greatest is
110,140,310,430 or
ABDC
Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone know I’m stuck
Answers
Answer:
400 seconds
Step-by-step explanation:
150/20=7.5 meters per second
3000/7.5=400 seconds
Priya will take 400 seconds to cover distance of 3,000 meters.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
Distance covered by Priya in 20 seconds = 150 meters.
The speed of Priya = 150 / 20 = 15/2 meters per second
To find the time to cover the distance of 3,000 meter,
Use formula,
Time = distance / speed
Time = 3,000 / (15/2)
Time = 400 seconds
To cover 3,000-meter distance, Priya will take 400 seconds.
To know more on Speed on:
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The graph below shows the relationship between time and distance traveled by a race car moving at a
constant rate and at its maximum speed. How long did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answers
Answer:
2.4 hours
Step-by-step explanation:
The graph of the question is attached below.
A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the intercept.
The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (1.5, 300) and (2.5, 500). Hence using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-300=\frac{500-300}{2.5-1.5} (x-1.5)\\\\y-300=200(x-1.5)\\\\y-300=200x-300\\\\y=200x-300+300\\\\y=200x\\\\To\ find\ the\ time\ taken\ to\ travel\ 480 \ miles,we\ substitute\ y=480\ \\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]
multiplicative inverse of negative 3
Answers
Answer: -1/3
Step-by-step explanation: In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x-1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. Sice -3 can also be shown as -3/1, all we do is flip this to get -1/3.
The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].
What is a multiplicative inverse?"The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'x' denoted by [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex]."
A multiplicative inverse or reciprocal for a number x is denoted by [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex], The multiplicative inverse of a fraction [tex]\frac{a}{b}[/tex] is [tex]\frac{b}{a}[/tex].
Since -3 can also be written as [tex]\frac{-3}{1}[/tex]
We have to flip [tex]\frac{-3}{1}[/tex] to get multiplicative inverse.
The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].
Thus, the multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].
Learn more about multiplicative inverse here
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5p squared + 12q squared
Answers
Answer:
17p squared
Step-by-step explanation:
O need help I keep getting my the answer wrong I need a remainder and and I can’t get it right
Answers
Answer:
7.18
Step-by-step explanation:
The entire answer is 7.17808219, but I rounded it to the nearest hundreth.
When Steven celebrated his first birthday, his grandmother gave him $1. For each birthday after that, she doubled the amount of money that she gave him for the previous birthday. By the time Steven turned nine years old, how much money had his grandmother given him?
Answers
Answer:
Step-by-step explanation:
the amount gave on his first birthday=$1
therefore,
1,1*2,1*2*2,1*2*2*2,1*2*2*2*2,1*2*2*2*2*2,1*2*2*2*2*2*2,1*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2*2
therefore ,1,2,4,8,16,32,64,128,256
therefore money given at the age of 9 is $256
What is the product of 2 * -5?
Answers
Answer:-10
Step-by-step explanation:a negative times a positive equals a negative
Answer:
-10
Step-by-step explanation:
When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number