Using translation concepts, it is found that the domain of g(x) = f(x) - 12 is the same domain of f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 12, that is, g(x) is a shift down of 12 units of f(x).
The domain of a function is the set that contains all possible input values for the function. A shift down does not add any restriction to the function, hence the domain of f(x) and g(x) are the same.
More can be learned about translation concepts at https://brainly.com/question/4521517
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Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no
Answer:
possible?? but I think that there is a typo, and that there would not be a bias
Step-by-step explanation:
can we assume that there are no typos in the question
he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)
$12.80 nearest cent
Answer:
13
Step-by-step explanation:
it just 13$ so yeah your welcome
Answer:
12.8
Step-by-step explanation:
Look at the zero in the end (hundreths place). Since it is zero keep everything the same!
If it is higher than 5, round up
If it is 5 or below round down.
0 is special because you can just keep everything the same.
Hope this helps!
Find the exact value of x.
Answer:
24
Step-by-step explanation:
4 times 4
8 times 8
Subtract the 2 #'s
Then divide your answer by 2.
Step-by-step explanation:
use Pythagoras theorem
hypotenuse² = base² + height²
8²=base²+4²
64-16=B²
√48=B
√2×3×2×2×2=B
2×2√3
4√3 = B
hope it helps
what is the slandered form of equation y = -3/2 x + 5
Answer:
Ax+By=C
Step-by-step explanation:
basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).
There are 30 students in Mr. Shawn’s class and 60% of the students are above 12 years old. How many students are above 12 years old?
Answer:
the answer is a 18 as 60 percent of 30 is 18
hope it helps
70 - 17 and a half %
Answer:
69.825
Step-by-step explanation:
A 68 year old retiree has a pension savings of $40,000, a 401k of $63,000, and an IRA account of $59,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and 1% more in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the current total pension amount, 2% from the 401k, and 6% from the IRA. What amount will the retiree have in his IRA account if he takes that money out now? Do not include $ in answer. Example, if answer is $7, put 7.
Answer:
54,280
Step-by-step explanation:
In Pic
hi, last thing !! awarding 30 points here !! answer asap thank you so much !!
Answer:[tex]\color{yellow}{}[/tex]
[tex]\color{iron}{{-1, 0, 4}}[/tex]
[tex]\color{iron}{{-3, 1, 2}}[/tex]
Domain is 5 and the range is 4 so the Function is 1.25
The graphs below have the same shape. What is the equation of the red
graph?
F(x) =
A. F(x) = (2 - x)
B. F(x) = (3-X)
C. F(x) = 3 - X2
D. F(x) = 2 - x?
The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
What is the general equation of parabola?The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].
Where,
(h, k) are the vertices of the parabola.
According to the given question.
We have two graph.
The blue and red graph both represents the equation of downward parabola.
Since, blue graph represents the equation of downward parabola.
Whose equation is given
[tex]G(x) = 5 - x^{2}..(i)[/tex]
The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]
Where, (h, k) are the vertices of the parabola.
Compare the equation (i) with (ii)
We get
(h, k) = (0, 5) and a = -1.
Now, the red graph which also represents the downward parabola whose vertices are (0, 2)
Therefore, the equation red graph is given by
[tex]F(x) = a(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = 2 - x^{2}[/tex]
Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
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Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee's vacation hours. The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table and graph, respectively. + COMPANY S COMPANY P Hours Worked Vacation Hours 10 014 Vacation Hours NA Uomo 20 0.8 30 1.2 40 1.6 50 2.0 20 40 60 80 100 120 Hours Worked Drawn on add images here Which statement describes the difference in each friend's vacation hours if both friends work 2,080 hours?
Answer:
Rhys was the only man in a day and he was a the work that he has been through and you have a very nice feeling and a good friend of the family that s you have to love you and love you all and becomes the most loved person you have a lot to be proud about and becomes the first time that he is in a few hours and a day of the day of his death that s and you are the only person who can do this by sanjay and becomes the most beautiful man ever and becomes the first person in your class and the life that s for any of the other things you have a lot of the time to do this is not a sin of God or no company in this way to the holy grail and you will not starting with a job that s you to village in a day of the day that s the meeting of your family in a day and a day 5th birthday party for any other day and day to night and a day and day for a couple to get the chance of being the first person to village and to village and to be in a 666inches and a half hour trip from London and a day of his time of life in London we will have to see how the tempe and becomes a new place in a few years and becomes the most popular place in EuropeHow would I do this?
Answer:
you can do it
Step-by-step explanation:
by using your brain
The Jenkins family's monthly budget is
shown in the circle graph. The family has a
monthly income of $4,800. How much
money do they spend on transportation
each month?
Emergency fund
5%
Transportation
5%
Housing
30%
Medical
22%
Food
15%
Clothing
6%
Entertainment
7%
Savings
10%
Answer:
$240
Step-by-step explanation:
They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.
An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.
**This content involves using percentages which you may wish to revise.
HELP PLEASE I WILL GIVE BRAINLY TO CORRECT ANSWER PLS.
2 The graphs of y = 3x + 7x – 4 and y + 2x = 10 intersect at the points A and B.
Find the coordinates of A and B.
You must show all your working and give your answers correct to two decimal places.
Answer:
Check the text of the exercise, there is something wrong
Step-by-step explanation:
y=10x-4
y=-2x+10
These are two stright lines, they meet in one point only, P(7/6, 23/3)
Which of the following expressions is equivalent to the one shown below? (-11/14)^5
simplify ( √ 5 ) ( 3 √ 5 )
Answer:
[tex]5^\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}[/tex] can be represented as [tex]5^{\frac{1}{2}}[/tex] and [tex]\sqrt[3]5}[/tex] can be represented as [tex]5^{\frac{1}{3}}[/tex]. Therefore, the expression can be rewritten as:
[tex]5^{\frac{1}{2}}*5^{\frac{1}{3}}[/tex]
The rule for multiplying two exponents with the same base is you add the exponents. For example: [tex]x^m*x^k=x^{m+k}[/tex]
We can use the same property to get:
[tex]5^{\frac{1}{2} +\frac{1}{3}}[/tex]
which is just [tex]5^\frac{5}{6}[/tex] after you add the fractions
How many 3 3/4 foot pieces ribbon can be cut from a pieces of ribbon that is 36 feet long.
Answer:
[tex]9\frac{3}{5}[/tex]
Step-by-step explanation:
3 3/4 = 15/4
[tex]\frac{36}{1}[/tex] ÷ [tex]\frac{15}{4}=[/tex]
[tex]\frac{36}{1} *\frac{4}{15}=[/tex]
[tex]\frac{12}{1} *\frac{4}{5}=[/tex]
[tex]=\frac{48}{5}[/tex]
[tex]=9\frac{3}{5}[/tex]
Hope this helps
Select all the correct answers.
Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t^3 - t^2 + 2t - 100, where
t is the number of tickets sold. The profits from the second theater can be represented by the expression t^2 - 2t - 300.
which statements are true about the expression representing Cineplex's total profits in that city?
Answers:
The total profit expression is a binomial.
The total profit expression is a polynomial.
The total profit expression has a constant term.
The total profit expression is a polynomial
The total profit expression is a binomial
The total profit expression has a constant term
The first step to determining which type of function it is, is to add the profits in both theatres together
(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400
A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.
Types of polynomials include :
1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.
An example is x + 2
The variable x is raised to the power of 1. 2 is the constant terms
2. Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.
An example is 2x² + 10x + 25
3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.
An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms.
An example is t³ - 400
t³ - 400
The above equation of the total profit has a constant term which is -400
The above equation is a polynomial. This is because it has different types of variables.
The above equation is a binomial equation because it has only two terms t³ and 400
In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.
To learn more about polynomials, please check: https://brainly.com/question/17822016?referrer=searchResults
I need helpppppp cause I’ll make ur bra list of however u spell it
Answer:
DBH
Step-by-step explanation:
#1
Initial Price = 100% = 18
Discount = 15% = x
0.15 ( 18 ) = 0.15 * 18 = 2.7
Discount = $2.7 or $2.70
Letter = D
#2
Initial Price = 100% = 450
Markup = 20% = x
0.20 ( 450 ) = 1/5 of 450 = 90
Markup = $90
Letter = B
#3
Initial Payment = 100% = 37.60
Tip = 15% = x
0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64
Tip = $5.64
Letter = H
Your Code = DBH
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve for x:
4x + 1 = 7x - 5
Answer:
x = 2
Step-by-step explanation:
First, subtract 4x from both sides:
4x + 1 = 7x - 5
1 = 3x - 5
Add 5 to both sides:
6 = 3x
Divide each side by 2:
2 = x
So, the answer is x = 2
Answer:
2 =x
Step-by-step explanation:
4x + 1 = 7x - 5
Subtract 4x from each side
4x-4x + 1 = 7x-4x - 5
1 = 3x-5
Add 5 to each side
1+5 = 3x-5+5
6 = 3x
Divide each side by 3
6/3 = 3x/3
2 =x
i need help with this
Answer:
[tex]y = - \frac{1}{2} x + 4[/tex]
Step-by-step explanation:
Let us consider two points through which the line passes through
[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]
Step 1 : Find slope of the line
[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]
[tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]
Step 2 : Find equation of the line.
[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]
I need help with this one
Answer:
Step-by-step explanation:
Convert fractions to decimals. Then compare the whole part of the decimal numbers. The decimal having the highest whole part is the greatest number.
If whole part of the decimals are same, compare the tenth place ....
[tex]68 \frac{1}{2}= \frac{137}{2}=68.5[/tex]
[tex]\frac{336}{5}=67.2[/tex]
67.59
67.22
Greatest to least: 68.5 , 67.59 , 67.22 , 67.2
68 1/2 , 67.59 , 67.22 , 336/5
Help me with this one plz
Answer:
-1 is the only number there that is an integer as all the rest of them are mixed fractions.
Answer:
- 1
Step-by-step explanation:
Write cos 29° in terms of sine.
Help pls :(
Answer:
0.48480962
Step-by-step explanation:
1. Take the sine of 29 ° .
sin ( 29 ° )
2. Evaluate sin ( 29 ° ) .
0.48480962
can somebody help me with these questions
Answer:
The first one is B. 11.75
The second one is A. 4
Step-by-step explanation:
In order to find how many liters (L) of paint he used you need to do 2.5*5.5=13.75 Then to find out how much he has left you do 25-13.75=11.75 So your answer is 11.75.
The second one you have to do the reverse. So since it says 4*_=48, you do 48÷4=_=12. Then since it says 12*1/3=_ You can do 12÷3=_=4 So your answer is 4.
Suppose an airline announces that its earnings this year are lower than expected due to reduced ticket sales. The airline spokesperson gives no information on how the company plans to turn
21
things around, he only mentioned that the current demand curve is given by − − 4 = 0
3
and the supply curve is given by 2 + 8 − 43 = 22
Find the equilibrium points of the airlin
Answer:
[tex](q,p)=(1.948,4.156)[/tex]
Step-by-step explanation:
Given
[tex]p^2 - \frac{1}{3}q-4p=0[/tex] --- demand curve
[tex]2q + 8p -4p^3=2p^2[/tex] ------ supply curve
Required
The equilibrium point
To do this, we make use of the graphical method (see attachment for the demand and supply curve)
The points of intersection of both curves on the attached plot are:
[tex](q_1,p_1)=(1.948,4.156)[/tex]
[tex](q_2,p_2)=(0,0)[/tex]
[tex](q_3,p_3)=(-0.8766,0.0744)[/tex]
[tex](q_3,p_3)=(0.3802,-0.0314)[/tex]
Of the 4 points, only the points where [tex]p,q>0[/tex] can be selected as equilibrium points
The only point that satisfies this condition is:
[tex](q_1,p_1)=(1.948,4.156)[/tex]
Hence, the equilibrium points of the airline is: [tex](q,p)=(1.948,4.156)[/tex]
help----------------------------
Answer:
One solution;
[tex]x=-1\frac{2}{7}[/tex]
[tex]y=-5\frac{3}{7}[/tex]
Step-by-step explanation:
The method of elimination is a way of solving a system of equations. There are many steps involved in this process. First, one must manipulate one of the equations in the system by multiplying each term in it by a certain number such that one of the variables is the inverse of the other like the variable in the other equation. Then one must add the two equations. This will eliminate one of the variables in the equations. After doing so, one has to use inverse operations to solve for the other variable. Finally, one will back solve, substitute the value of the solved variable into one of the equations and solve for the remaining unknown variable.
[tex]\left \{ {{y=5x+1} \atop {y=-2x-8}} \right.[/tex]
Manipulate the system;
[tex]\left \{ {{y=5x+1*(-1)} \atop {y=-2x-8}} \right.[/tex]
Simplify,
[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]
Add the equations,
[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]
[tex]0=-7x-9[/tex]
Inverse operations,
[tex]0=-7x-9[/tex]
[tex]7x=-9[/tex]
[tex]x=-\frac{9}{7}[/tex]
[tex]x=-1\frac{2}{7}[/tex]
Backsolve,
[tex]y=-2x-8[/tex]
Substitute
[tex]y=-2(-\frac{9}{7})-8[/tex]
Simplify,
[tex]y=-2(-\frac{9}{7})-8[/tex]
[tex]y=\frac{18}{7}-8[/tex]
[tex]y=\frac{18}{7}-8\\y=-\frac{38}{7}[/tex]
[tex]y=-5\frac{3}{7}[/tex]
Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?
Please I need it fast
Answer:
12y
Step-by-step explanation:
Which graphs are inverses of one another?
Graph A and B
Graph A and C
Graph B and C
none of the graphs shown
Well... kinda need those graphs to be shown.
Answer:
A and C
Step-by-step explanation:
if shreeja wants to level her garden of length (2z+5) metre and breadth (2Z-3) metre, then the area of garden is ___________
Answer:
4z²+4z-15 Square Metre
Step-by-step explanation:
According To The Question,
Given, Shreeja wants to level her garden of length (2z+5) metre and breadth (2z-3) metre.Area Of Garden = Length × Breadth
Area Of Garden = (2z+5) × (2z-3)
Area Of Garden = 4z²-6z+10z-15
Area Of Garden=4z²+4z-15 Square Metre
Factorx^2 + x - 6, asappp
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + x - 6[/tex]
➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]
Taking the factor [tex](x+3)[/tex] as common,
➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]