What is the range of the function g(x) = |x – 12| – 2?.
Answers
The range of the given function is [-2,∞).
what is the range of a function?the range is the complete set of all possible values of the dependent variable say 'y'.
given function is: f(x)= |x – 12| – 2
f(x) = x-14 ∀ x≥12
f(x) = -x+10 ∀ x < 12
value of the above function at x=12 will be -2 means the minimum value of the function will be -2.
now, from the graph, we can see that f(x) is leading to infinity
so the range will be [-2,∞).
therefore, The range of the given function is [-2,∞).
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The range of the function is all real number of input value (y-value) grater than or equal to -2.
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function given in the problem is,
[tex]g(x) = |x - 12| - 2[/tex]
Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,
[tex]y=a|x-h|+k[/tex]
On comparing the vertex form with the given equation, we get,
[tex]h=12\\k=-2[/tex]
Now, as the tange of a function is the set of all the possible output values which are valid for that function.
Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.
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Related Questions
Please help with this
Answers
Answer:
17
Step-by-step explanation:
For the second term in the sequence, use n=2. The formula tells you ...
[tex]b(2)=b(2-1)+1\\\\b(2)=b(1)+1\\\\b(2)=16+1\\\\\boxed{b(2)=17}[/tex]
The second term of the sequence is 17.
_____
Additional comment
The recursive relation is telling you that each term of the sequence is 1 more than the term before, and the first term is 16. This means the first several terms of the sequence are ...
16, 17, 18, 19, ...
The second term is 17.
Describe the error then simplify the expression correctly.
-5(3+6)=-15+30
=15
Answers
Answer: 30 should be negative
Step-by-step explanation:
when having an equation like that, you must multiply -5 by 3, which equals to -15, then multiply-5 by 6 which then equals to -30. The correct equation should be -5(3+6)= -15+-30= -45
I think this should be correct, hope this helps!
Answer:
a) The negative was not distributed to the 6
b) -45
Step-by-step explanation:
This simplification uses the distributive property. This is when a factor outside of parentheses is multiplied by the factors within the parentheses. When using this property, if the factor outside the parentheses is negative, then that negative must be distributed to both factors within the parentheses.
The correct way to simplify the expression is as follows:-5(3+6)
Multiply -5*3 and -5*6-15 + -30
Rewrite this using subtraction-15-30
Subtract-45
Can you guys help me, I'll really appreciate it, I need this to 14 February ill give you 30 points
Answers
Answer:
1. f(x) Domain [-3,∞) Range [0,∞)
2. g(x) Domain (-∞,∞) Range [√3, ∞)
3. h(x) Domain [3,∞) Range [0,∞)
4. i(x) Domain (-∞,-√3]∪[√3,∞) Range [0,∞)
5. j(x) Domain (-∞,∞) Range [0,∞)
6. k(x) Domain (-∞,∞) Range [0,∞)
7. f(x) Domain (-∞,∞) Range [3,∞)
Exercise 2 : no there is not an inverse. in about to have an inverse you have to have x and y. yes. if you restrict the domain of the finction so that its 1 to 1 which creates a new function youll have an inverse.
A ____ is a measuring stick that represents the actual wall frame, with markings made at the proper height for every horizontal member of the wall frame.
Answers
Answer:
Story Pole
Step-by-step explanation:
Source : Trust me bro
M
The person is 6 feet tall and casts a shadow of 3.2 feet. The building casts a
shadow of 18.5. How tall is the building? Round to the nearest
hundredth.
Answers
Answer:
34.69 feet
Step-by-step explanation:
First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.
Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.
Select all the expressions that are equivalent to (screenshot below)
Answers
Step-by-step explanation:
Use the Distributive Property:
[tex]-2(5x-1)+7(5x-1)-3(5x+1)[/tex]
[tex]-10x+2+35x-7+15x-3[/tex]
P is correct.
Simplify:
[tex]40x-8[/tex]
T is correct using FOIL or distribution.
Use the FOIL method to simplify:
Use 5x-1 then multiply with -2, 7, and -3.
Note: With -3, -5x + 1 is in the parenthesis, we need to change -3 to 3.
Changing -3 to 3 will equal the distribution of -3(-5x+1).
Our expression: [tex](5x-1)(-2+7+3)[/tex]
S is correct.
A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately. By 3:30 p.m. the warehouse contains 90 boxes. Suppose the boxes are unloaded at a constants rate. How many boxes are in the warehouse when the truck is finally empty at 8:30 p.m.
Answers
Answer:
90 boxes.
Step-by-step explanation:
Simplify the equation. You get 1 box per 6 minutes.
Find the total cost of a $25 haircut with a 20% tip round to the nearest cent when necessary
Answers
Answer:
$30
Step-by-step explanation:
cost of tip is represented by 25 multiplied by 0.2:
25*0.2=5
add onto original price:
25+5=30
good luck :)
Answer:
$30 dollars
Step-by-step explanation:
Given the following question:
Total price = $25.00
20% tip
In order to find the answer, we find 20% of the 25-dollar haircut. Then we add that number to the original price of the haircut.
[tex]\frac{25\times20}{100} =25\times20=500\div100=5[/tex]
[tex]25+5=30[/tex]
[tex]t=30.00[/tex]
Total cost of the haircut was "$30.00 dollars."
Hope this helps.
Please help if you answer correctly I will give brainliest thank you!!!!!!!!
Answers
Answer:
The Answer is C
Step-by-step explanation:
3x-4y=5
2x+4y=-3
This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.
The other equations are wrong because their is extra work needed to eliminate the values.
Mrs. Koch is Improning in her Gols
Game. She makes about 60% of her putts.
If She has 10 putts,
What is the probability She misses
of them?
Answers
P(win)= 3/5=60%. P(lose)=2/5=40%
Or
P(win)= more likely. P(lose)= less likely
Hope this helps you :)))
I need help with this
Answers
24,501.42 cubic meters
Step-by-step explanation:
The equation for volume of a cylinder is:
A=πr²h
A= area
r= radius
h=height
let's plug in the numbers
A=π×17²×27
(the radius is half of the diameter; 34÷2=17)
Let's use 3.14 as pi
A=3.14×289×27
A= 24501.02 cubic meters
i don't know this help pls ..
Answers
Answer:
A or the total number of spikes Bella has
Answer: The number of Beetiebots to decorate
Step-by-step explanation:
give me the answer pease help
Answers
Answer:
D. [tex]9(y+3) and 27+9y[/tex]
Step-by-step explanation:
The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.
1 9 5 ÷(− 3 2 )×(−2 7 1 )
Answers
Answer:
1651.40625
Step-by-step explanation:
Multiplying or dividing an even number of negative terms equals a positive.
195÷32×271
Using the rule of BODMAS,
(D) Division first.
195÷32 = 6.09375
(M) Multiplication next.
6.09375×271 = 1651.40625
Alternate form ↓
52845
32
OR
1651¹³/32
Write a multiplication sentence that proves the division sentence -30/5 = -6 is correct.
Answers
Answer:
he believed governing is very hard and needs help
Answer:
5 * -6 = -30
Step-by-step explanation:
You just have to do the reverse of the already existing division problem.
Find the product of 2x4(2x2 3x 4). 2x8 3x4 4x4 4x6 6x5 8x4 4x4 3x5 2x6 3x6 4x5 5x4.
Answers
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given expression is simplified as:
[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]
Thus,
The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
Learn more about product of polynomials here:
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Answer:
4x^6 + 6x^4 + 8x^4
Step-by-step explanation:
its the only option with a 6 in the 2nd term.
If you are given T(5, 0), R(0, 5), A(4, 7), and P(7, 4), and asked to show that TRAP is a trapezoid, you would need to find _________.
Group of answer choices
the slopes of TR, RA, AP and TP to show that both pairs of opposite sides are parallel.
the slopes of TA and RP to show that the diagonals are perpendicular.
the lengths of TA and RP using the distance formula to show that the diagonals are congruent.
the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.
Answers
Answer:
the lengths of TA and RP using the distance formula to show that the diagonals are congruent.the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.Step-by-step explanation:
A trapezoid is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides.
(Therefore, statement 1 is incorrect and statement 4 is correct)
If the non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid. An isosceles trapezoid has a line of symmetry and both the diagonals are equal in length.
(Therefore, statement 3 is correct).
Statement 2 is incorrect as the diagonals are NOT perpendicular
Answer:
C is the corect answer give brainliest boy or girl above his/her/they explanation was good
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106. 40 in interest. How much had Mrs. Ming invested in the account paying 6%? $117 $680 $760 $820.
Answers
Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680
How to calculate interest after 1 year if the rate of interest is R% annually?Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)
The interest for 1 year will be [tex]\dfrac{P}{100} \times R[/tex]
Let we have the initial amount spent in account paying 8% interest rate as $x
Let for 6% interest paying account, initial amount was $y
Then, by the given data, we have:
[tex]x + y = 1500[/tex]
and
[tex]\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6= 106.40\\\\8x + 6y = 10640\\4x + 3y = 5320[/tex]
Thus, we got a system of linear equations as :
[tex]x + y = 1500\\4x + 3y = 5320[/tex]
From equation 1, getting value of x in terms of y, we get:
[tex]x = 1500 - y[/tex]
Substituting this value in second equation, we get:
[tex]4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680[/tex]
Putting this value of y in the equation we got for x,
[tex]x = 1500 - y\\x = 1500 - 680= 820[/tex]
Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820
and for 6% interest paying account, initial amount was $y = $680
Thus,
The amount invested by Mrs. Ming in the account paying 6% was $680
Learn more about system of linear equations here:
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A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number of hours of daylight varies sinusoidal over a period of twelve months. Sketch the graph then use this data to find the following:
Answers
We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
Daylight time June trough to December
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as
[tex]A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}[/tex]
A=2
vertical shift =[tex]\frac{Max-min}{2}[/tex]
vertical shift =[tex]\frac{14-10}{2}[/tex]
vertical shift =1
Therefore, the time is given as
[tex]t=\frac{2\pi}{b}[/tex]
Where
[tex]b=\pi/6\\\\t=\frac{2\pi}{\pi/6}[/tex]
Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
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Fill in the table above.
What’s the ratio of cost to bags of salad?
How much does one bag of salad cost (unit rate)?
Answers
4 bags of salad cost $24
7 bags of salad cost $42
ratio 1:6
one bag of salad is $6; six dollars per bag of salad
What is the radius of the sector?
Answers
Answer:
5 units
Step-by-step explanation:
The area of a sector is [tex]A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius and [tex]\theta[/tex] is the angle formed:
[tex]A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r[/tex]
Therefore, the radius of the sector is 5 units
t screen
ze store
how
for?
4. Matthew has 18 sets of baseball cards. Each
set has 12 cards. About how many baseball
cards does Matthew have?
Answers
Answer:
The answer is 216 i did the math the other person is correct please give them brainliest <3
Step-by-step explanation:
If you earned 2,580 for one month how much would you have left after you spent $1,200 on rent, $175 on utilities, and $200 on food?
Answers
Answer:
1005
Step-by-step explanation:
If you just kept subtracting from 2580 then the next and then the next number you would get 1005
HELP ME PLEASE I REALLY NEED THE ANSWER! THIS IS REALLY HARD! (THE ANSWER IS NOT A I HAVE TRIED IT AND IT WAS WRONG AND ITS AN ANSWER ONCE QUESTION SO I HAVE TO COMMENT IT)
Answers
Answer:
The answer is E
Step-by-step explanation:
hope it helps
Answer:
Option E
(-1, 0, 1, 2, 3, 4, 5, 6)
Step-by-step explanation:
Given;-2 < n ≤ 6So,
n is less than (-2) but greater than or equal to 6
Now, the possible value of n
-1, 0, 1, 2, 3, 4, 5, 6
Thus, (-1, 0, 1, 2, 3, 4, 5, 6) are the possible values of n
-TheUnknownScientist 72
Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)
7x + 1
_____=1/2
16
Answers
Answer: 1
Step-by-step explanation:
16 * 1/2 = 8
7x + 1 = 8
7x = 7
x = 1
Answer:
x = 1
Step-by-step explanation:
[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]
Hope it helps ⚜
32 divided by 11 is it two or 10 Please help me
Answers
Answer:
2 with a remainder of 10
Step-by-step explanation:
11 goes into 32 2 times which is 22. Then there is 10 leftover as a remainder.
find the measure of the indicated angle
Answers
Answer:
B=53
C=127
D=127
Step-by-step explanation:
PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!
Answers
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?
Help please! Find the perimeter of the rectangle.
Answers
Answer:
34
Step-by-step explanation:
We know the area is 52 cm and that one length is 13cm. This means that in order to find the missing length, we need to divide 52 by 13. this gives us 4, meaning that the missing side is 4 cm.
Now we add 26 (Double of 13 because it is both sides) to 8 (Double of 4 because they are same lengthening sides)
We then get 34.
Hope this helps :)
Look at the screen shot
Answers
Answer:
M- MONICA
Step-by-step explanation: