Which graph represents the function r(x) = |x – 2| – 1
Answers
Which graph represents the function r(x) = |x – 2| – 1
- The first graphwe have
[tex] r(x) = |x- 2|- 1 [/tex]
using a graph tool
see the attached figure
So
1) the domain of the function is all real numbers-----> interval (-∞,∞)
2) the range of the function is the interval [-1, ∞)
3) the function decrease on the interval (-∞,2)
4) the function increase on the interval (2,∞)
5) the function has two x-intercepts-----> (1,0) and (3,0)
6) the function has one y-intercept-----> (0,1)
therefore
the graph in the attached figure
Related Questions
What is the variance of the following data? If necessary, round your answer to two decimal places.
12, 13, 8, 13, 9, 11, 12, 9, 11
a)2.99
b)3.02
c)3
d)3.01
Answers
s^2 = sum [ value i - average]^2 for all the data i / (number of data)
Average = [12 + 13 + 8 + 13 + 9 + 11 + 12 + 9 + 11] / 9 = 98 / 9 = 10.889
data value - average (value - average)^2
12 12 - 10.889 1.2346
13 13 - 10.889 4.4568
8 8 - 10.889 8.3467
13 13 - 10.889 4.4568
9 9 - 10.889 3.5679
11 11 - 10.889 0.0123
12 12 - 10.889 1.2346
9 9 - 10.889 3.5679
11 11 - 9.667 0.0123
------------
sum 26.8889
s^2 = 26.8889 / (n) = 26.8889 / (9) = 2.988 ≈ 2.99
Answer: 2.99
Television screens are measured along the diagonal. A certain 53-inch television is 45 inches wide. Which measurement represents the length of the hypotenuse?
Answers
Answer:
Step-by-step explanation:
The right answer is 53in
Find all residues (A) such that (A) is its own inverse modulo 317.
Simpler version: Find all numbers (A) that equal its own inverse modulo 317
Answers
To solve for the value of the residues A, we can use the formula:
A^2 = 1 (mod prime)
This is only true for prime numbers. The given number which is 317 is a prime number therefore the values of the residues A are:
A = + 1, - 1
Since I believe the problem specifically states for the list of positive integers only and less than 317, a value of A = - 1 is therefore not valid. However, a value of – 1 in this case would simply be equal to:
317 – 1 = 316
Therefore the residue values A are 1 and 316.
Simplify number 64. I am a little confused.
Answers
We don't want roots in the denominator so multiply the fraction by root 5/root 5 which is equal to 1.
The final answer is: 3 root 5/5
Marianne buys a house for 150,000 and the value of the house increases at a rate of 1.2% per year.How much will the house be worth in 10 years .Round to the nearest dollar.
Answers
V(1) = 150000 + 150000(0.012)
V(2) = 150000 + (150000 + 150000(0.012))(0.012)
V(3) = .............
We need to do this up to 10 years. It would be a long and tedious process. We need to simplify the expression as follows:
We factor out the initial amount of the house and simplify further what is inside the parentheses. This would give us
V(x) = 150000 (1 + 0.012)^x
Substitute 10 to x,
V(x) = 150000 (1 + 0.012)^x10
V(10) = 169003.77
jace estimated the product of (34.57)(–0.74) by rounding each number to the nearest tenth. What was Jace’s estimate?
Answers
Answer:
–24.22
Step-by-step explanation:
Answer:
-24.22
Step-by-step explanation:
(aka B on edge)
How would I set this up?
(It's suppose to be a transformation.)
Answers
find the location of the points, multiply the y by 1/3
draw the new triangle using the new points you calculated.
The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?
Answers
6x + 30= 270
6x = 240
x = 40
all numbers are 40,42,44,46,48,50
second number = 40 + 42 = 42
Let's take a look at this problem... okay so it tells us we have six consecutive even numbers... *** this means that there are six even numbers that come after each other in order *** ( for example: 2, 4, 6, 8...)
since we don't know these numbers let's start off by giving them variable values....
x = 1st number
x + 2 = 2nd number ----> I added 2 to x cuz the next even number comes x + 4 = 3rd number two spots after
x + 6 = 4th number
x + 8 = 5th number
x + 10 = 6th number
now let's form an equation with all this....
(x) + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 270
6x + 30 = 270
6x = 240
x = 40
Now we plug x into the 2nd number's "equation"....
x + 2
40 + 2
42 <----- That's your answer!
Hope this helps! :D
Please vote me for Brainliest if there is a second answer!
A pair of huskies can comfortably pull a sled with a person weighing 126 pounds If Marjorie wishes to carry an additional 252 pounds of gear, how many dogs will she need altogether?
Answers
He was right the correct answer is six dogs
Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses how much did the roses cost?
Answers
d = r + 3
r + 3 + 3r = 15
4r + 3 = 15
4r = 15 - 3
4r = 12
r = 12/4
r = 3 ....he bought 3 roses, at $ 3 per rose = $ 9 <==
d = r + 3
d = 3 + 3
d = 6....he bought 6 daisies, at $ 1 per daisy = $ 6
-daisies=x- -roses=y-
x+y=15
the sentence how he buys 3 more daisies than roses so...
(y=x-3)
you then plug in the value of y in the equation to have only one variable...
x+ 3(x-3)=15
you then multiply 3 to the parenthesis...
x+3x-9=15
then add 9 on both sides...
4x=24
and then divide 4 on both sides...
x=6
if you plug the value of x(daisies) in the equation...
6+y=15
you subtract 6 on both sides and get...
y=9
you can also get the answer by solving for y with x...
y=3(x-3)
(x=6)
plug in x...
y=3(6-3)
y=3(3)
y=9
Answer: the roses cost $9
There are some chickens and goats on a farm. Given that the animals have a total of 50 heads and 140 legs, how many more more chicken than goats are there ?
Answers
Therefore, the number of chicken will be 50-x
Total number of legs the goats will have= 4x (goats have 4 legs)
Total number of legs chickens will have= 2(50-x) (chickens have two legs).
4x + 2(50-x)=140
4x+100-2x=140
2x+100=140
2x=40
x=20.
There are 20 goats and 30 chickens.
Which number makes this sentence true?
21:30=x:50
A. X=30
B. X=32
C. X=35
D. X=41
Answers
7,125,000,000 what is this to the nearest billion
Answers
Which of the following shows 18/8 as a mixed number and 1 7/12 as an improper fraction?
A) 18/8 = 2 2/8 and 1 7/12=8/12
B) 18/8 = 1 5/4 and 1 7/12 = 1 12/7
C)18/8 = 9/4 and 1 7/12 = 17/12
D)18/8 = 2 1/4 and 1 7/12 = 19/12
Answers
Add 3 7/12 + 2 7/9. Simplify the answer and write as a mixed number
A)13/36
B)5 1/3
C) 6 13/36
D)5 2/3
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
What is improper fraction and mixed number ?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Example 9/4 , 7/2
A mixed number is a number consisting of a whole number and a proper fraction. Example 1 3/8 , 3 1/3
FOR SOLVING THE QUESTION:
Rewriting 18/8 as a mixed number:
8/8=1 whole
So, let's see how many wholes we can get out of 18/8
18/8= (8+8+2)/8
= 8/8 +8/8 + 2/8
=1+ 1+1/4
18/8=2 1/4
Rewriting 1 7/12 as an improper fraction
1 7/12= 1+ 7/12
=12/12 + 7/12
=(12+7)/12
=19/12
Therefore, 1 7/12= 19/12
The exact answer to this question is option d that is 18/8 = 2 1/4 and 1 7/12 = 19/12
Learn more about improper fraction and mixed number here :
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A ball is thrown straight down from the top of a 499-foot building with an initial velocity of -29 feet per second. Use the position function below for free-falling objects.
Answers
Solve 6x2 = 12x − 20.
Answers
6x^2-12x=-20 divide both sides by 6
x^2-2x=-10/3 halve the linear coefficient, square it, and add it to both sides, in this case 1
x^2-2x+1=3/3-10/3 now the left sides is a perfect square
(x-1)^2=-7/3 take the square root of both sides
x-1=±i√(7/3) add 1 to both sides
x=1±i√(7/3)
*note that these are imaginary solutions, as the original equation is never true, or if you prefer, 6x^2-12x+20 is never equal to zero.
Write in Expanded form
Answers
Which set of steps shows the solution to the equation 2y = −8?
A) y = −8 − 2; y = 6
B) y = −8 ÷ (−2); y = 4
C)y = −8 ÷ 2; y = −4
D) y = −8 − (−2); y = −6
Answers
please vote my answer brainliest. thanks!
C is correct answered first give me brainliest plus 5 star rating.
One third of the bagels in a bakery are sesame bagels. There are 72 sesame bagels. Define a variable. Then write and slice an equation to find how many bagels there were in the bakery.
Answers
s=sesame bagels
s x 3 = t
72 x 3 is 216.
there are 216 bagels in total, while 72 is just 1/3 of that
NEED ANSWER NOW! Worth LOTS OF POINTS!!!
In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions c/a=a/f and c/b=b/e ?
a) the geometric mean (altitude) theorem
b) the geometric mean (leg) theorem
c) the right triangle altitude theorem
d) the SSS theorem
Answers
In a right triangle, if we draw an altitude, from the vertex which contains the right angle, to its opposite side, the triangles at both sides of this altitude are congruent and hence congruent to the whole triangle.
The above is called the Right angle altitude theorem.
In PYthagorean theorem, we use the above theorem to prove the proportionate values are equal.
Answer:
It is C
Step-by-step explanation:
Which expression is equivalent to 56 + 21?
PLZ NEED HELP
Answers
8 • 7 = 56. And 7 • 3 is 21.
Hope this helps :)
Our question is:
"Which expression is equivalent to 56 + 21?
A.) 7(49 + 14)
B.) 8(7 + 21)
C.) 8(48 + 13)
D.) 7(8 + 3)"
It appears our question wants us to answer our question with two-step expressions by applying the Distributive Property.
The Distributive Property allows any number/variable outside a parenthesis (with no order of operation symbol between the number/variable and the parenthesis) to multiply by all numbers/variables inside the parenthesis.
For example, this is how to properly apply the Distributive Property;
2(1 + 3)
2(1) + 2(3)
2 + 6
This is NOT how to properly apply the Distributive Property;
2(1 + 3)
2 + 4
Now that we've covered the basics of what we're dealing with, let's try to solve our question using the Distributive Property on our answer choices.
A.) 7(49 + 14);
7(49) + 7(14)
343 + 98.
343 + 98 [tex] \neq [/tex] 56 + 21
B.) 8(7 + 21);
8(7) + 8(21)
56 + 126.
56 + 126 [tex] \neq [/tex] 56 + 21
C.) 8(48 + 13)
8(48) + 8(13)
384 + 104
384 + 104 [tex] \neq [/tex] 56 + 21
Now, all we are left with is D, likely making it our only correct answer, but let's test it out anyways.
D.) 7(8 + 3);
7(8) + 7(3)
56 + 21
56 + 21 = 56 + 21
Your correct answer is D.) 7(8 + 3).
I hope this helps!
If you have any questions or concerns as to how I came to my answer or how to handle this, feel free to send me a message and I will respond asap. :)
Solve the system of equations.
13x+2y=1
5x-2y=-19
Answers
x = -1
13(-1) + 2y = 1
y = 7
(-1,7)
x=-1
then find y
The given series has six terms. What is the sum of the terms of the series? 1 + 3 + 5 + . . . + 11
Answers
5 + _ + _ + 11
To find them, add 2 to 5, which gives us 7, so the 4th term is 7, and then add 7 +2, which gives 9, so 9 is the 5th.
Now add all: 1 + 3 + 5 + 7 + 9 + 11 = 36
Your answer is 36.
Answer: The required sum of the terms is 36.
Step-by-step explanation: We are given that the following series has six terms :
1 + 3 + 5 + . . . + 11.
We are to find the sum of the terms of the series.
We see the following pattern in the consecutive terms of the series :
[tex]3-1=5-3= ~~.~~.~~.~~=2.[/tex]
So, the given series is an ARITHMETIC series with fist term 1 and common difference 2.
We know that
the sum of first n terms of an arithmetic series with first term a and common difference d is given by
[tex]S_n=\dfrac{n}{2}(2a+(n-1)d).[/tex]
For the given series,
first term, a = 1 and common difference, d = 2.
Therefore, the sum of first six terms will be
[tex]S_6=\dfrac{6}{2}(2\times 1+(6-1)\times2)=3(2+5\times2)=3(2+10)=3\times12=36.[/tex]
Thus, the required sum of the terms is 36.
What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4
Answers
Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]g(x)=a|x-h|+k[/tex]
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
[tex]f(x)=3|x+4|+1[/tex]
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
square root of 16r raised to the 6
Answers
(16r)^(1/2)^6
relevant rule: (a^b)^c=a^(b*c), in this case
(16r)^(6*1/2)
(16r)^3
4096r^3
Answer:
4r^3
Step-by-step explanation:
The trick is to look for squared value and then to take them outside the square root but not in squared form.
Ricky made 86 phone calls in 3 months. In the first month she made 21 calls, and in the second month she made 19 calls. How many calls did she make in the third month? 21 40 46 65
Answers
Work:
19+21+40, and 86-40 =46
Every integer is a divisor of itself. A proper divisor of an integer means a positive divisor other than the integer itself. For example, the divisors of $8$ are $1,$ $2,$ $4,$ and $8,$ but the proper divisors of $8$ are just $1,$ $2,$ and $4$.
What is the smallest positive integer whose proper divisors add up to more than the integer itself?
Answers
1x12 2x6 3x4
1+2+6+3+4=16
The smallest positive integer whose proper divisors add up to more than the integer itself is 12. Its proper divisors are 1, 2, 3, 4, and 6, which sum up to 16.
Explanation:To understand this problem, we need to find the smallest positive integer whose proper divisors add up to a sum greater than the integer itself.
When we examine numbers, we find that the number 12 fits this description. The proper divisors of 12 are 1, 2, 3, 4, and 6. If we sum these up, 1 + 2 + 3 + 4 + 6, it equals 16, which is more than the number itself, 12.Therefore, the smallest positive integer that meets this condition is 12.
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What is Perfect squares?
Answers
Give an example of a polynomial where the ends are both facing downwards.
Answers
An example for this is : f(x) = -x^2
where the degree is even (2) and the leading coefficient is negative (-1).
When graphing this function, you'll find both ends pointing downwards.
In the rectangle below, the two quarter circles are congruent. Find the area of the shaded of the shaded region.
Answers
length = 12
width = 6
area of rectangle = length times width = 12 x 6 = 72
area of circle = pi r^2 = 3.14 (6)^2 = 113.1
1/2 circle = 113.1 / 2 = 56.55
the area of the shaded of the shaded region = 72 - 56.55 = 15.45
answer
15.45