Answer:
No, it's not a one-to-one function
Step-by-step explanation:
Given
[tex]f(x) = round(x)[/tex]
Required
Determine if this function is one-to-one
I'll answer this question using the following illustrations;
Assume x = 4.6
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.6) = round(4.6)[/tex]
[tex]f(4.6) = 5[/tex]
Also assume x = 4.8
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.8) = round(4.8)[/tex]
[tex]f(4.8) = 5[/tex]
More generally;
[tex]4.5 \leq\ x\leq\5.4[/tex]
Would result in:
[tex]f(x) = 5[/tex]
Since, there's a always a possibility of f(x) having one value for various values of input x, then we can conclude that the function is not a one-to-one function
The function f(x) = round(x) is not one - to - one since different input values of X could yield the same output.
One - to - one functions refers to functions which yield a different output for every input value given. Since, the function rounds input values of x to the nearest integer ;This means that ; some input values of x would produce similar output.For instance :
Given that x = 1.4
f(x) = round(x)
f(1.4) = round(1.4)
Output = 1 ( nearest integer)
Thus output will be the same for all values of x greater than equal to 1 and less than 1.5 (1 ≤ x < 1.5)Since, different input values of X could yield the same the output, then the function is not one - to - one.
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Sarah is currently making $31,000 a year at her job and has been offered a raise to $33,170 per year. What would be the percent increase in her salary?
Answer:
7%
Step-by-step explanation:
The percentage increase is found as ...
increase/original × 100%
= (33170 -31000)/31000 × 100%
= 2170/31000 × 100% = 7%
Sarah's increase would be 7%.
Find the standard equation of the line parallel to 2x – 4y + 3 = 0, which passes through (-1, 4).
Answer:
Step-by-step explanation:
-4y = -2x - 3
y = 1/2x + 3/4
y - 4 = 1/2(x + 1)
y - 4/2 = 1/2x + 1/2
y = 1/2x + 5/2
How do you do this question?
Answer:
p > 0
Step-by-step explanation:
∫₂°° e^(-px) dx
= ∫₂°° (e⁻ᵖ)ˣ dx
This is a geometric series.
A geometric series a(r)ˣ converges if -1 < r < 1.
-1 < e⁻ᵖ < 1
Since e⁻ᵖ is always positive:
e⁻ᵖ < 1
-p < 0
p > 0
Jamie has a half-sheet cake. If she has six friends, how much will each one get?
A. 1/4
B. 1/12
C. 1/3
D. 1/6
Answer:
The answer is B. 1/12Step-by-step explanation:
step one:
From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends
step two:
we can express this problem mathematically as
[tex]=\frac{1}{\frac{2}{6} }[/tex]
we can inverse the denominator and use a multiplication sign instead
[tex]\\\\= \frac{1}{2}*\frac{1}{6}[/tex]
multiplying both denominators we have
[tex]\\\\= \frac{1}{12}[/tex]
The answer is B 1/12
The second of two numbers is five more than twice the first. There sum is 80 . Find the numbers.
The first number = x
The second number = 5 + 2x
80 = x + 5 + 2x
Let's combine like terms.
80 = 3x + 5
Subtract 5 from both sides.
75 = 3x
Divide both sides by 3
25 = x
The first number = 25
Let's plug 25 into x for our second number's equation.
The second number = 5 + 2(25) = 55
Answer:
x = first number
y = second number
1. y = 2x +5
2. x = x
3. x + 2x + 5 = 80
4. 3x +5 = 80
5. 3x = 75
x = 25
sub back in to steps 1 and 2:
x = 25
y = 2(25) + 5
y = 55
the first number is 25, and the second number is 55.
CHECK:
80 - 25 = 55
Step-by-step explanation:
1. define your variables
2. use the question to find what each number equals
3. set them equal to 80
4. combine like terms, divide, etc. (SOLVE)
5. sub back into defined variables.
6. check it by subtracting and adding
Question 4 of 10
What is the solution to this equation?
-8x + 4 = 36
A. X = -5
B. X= -4
C. X = 5
D. x = 4
SUBMIT
Answer:
The answer is B, -4
Step-by-step explanation:
Subtract 4 on both sides
[tex]-8x=32\\[/tex]
Divide both sides by -8
[tex]x=-4[/tex]
please help me with math
Hey there! I'm happy to help!
A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.
Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.
Have a wonderful day! :D
Answer:
4)
Step-by-step explanation:
3)
this relationship isn't a proprtional relationship since it does't pass through (0,0)
')
this relationship is a proportional relation since it is a straight line that passes through (0,0)
Solve the equation 3x+5=20
Answer:
x = 5
Step-by-step explanation:
Let's simplify this by subtracting 5 from both sides:
3x = 15
Isolate x by dividing both sides by 3:
x = 5
Let A be the set of all integers which are 3 more than some perfect square. Here are some examples of such integers are: 4 = 1 + 3, 7 = 4 + 3, 3 = 0 + 3, 28 = 25 + 3, Write out the set A as succinctly as you can, using the set-builder notation.
Answer:
[tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
Step-by-step explanation:
Required
Represent set A using set-builder notation
First, we need to understand the general rule:
[tex]0^2 + 3 = 0 + 3 = 3[/tex]
[tex]1^2 + 3 = 1 + 3 = 4[/tex]
[tex]2^2 + 3 = 4 + 3 = 7[/tex]
[tex]5^2 + 3= 25 + 3 = 28[/tex]
-----
--
--
In general, we can write it as:
[tex]n^2 + 3[/tex]
Next, is to determine the values of n;
Since [tex]n^2[/tex] is a perfect square of [tex]n[/tex], then, the values of n is 0,1,2,3,.....
Hence; Set A can be represented as: [tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps
Answer:
the sales tax percent is therefore: 7.75%
Step-by-step explanation:
The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.
Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:
69.75 = x * 899.99
solving for x we get:
x = 69.75 / 899.99
x = 0.0775
this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:
the sales tax percent is therefore: 7.75%
Multiply (−7)(2)(−2). −28 −14 28 14
Answer:
43,025,92
Step-by-step explanation:
Answer:
The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28
Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?
Answer:
25 quarters50 nickelsStep-by-step explanation:
Since there are 2 nickels for every quarter, we can group the coins into groups consisting of 1 quarter and 2 nickels. Such a group will be worth 35 cents. So, the number of groups in $8.75 is ...
$8.75/$0.35 = 25
25 groups of coins will have ...
25 quarters
50 nickels
Which statements are true about polygons? Select three options. All sides and all angles in a polygon are congruent. The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint. In a polygon, all segments with a common endpoint are collinear. If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon. The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
Answer:
B, D, E
Step-by-step explanation:
Just took test :D
A polygon refers to a flat or two-dimensional shape which is closed and has straight sides. A polygon doesn't curved sides.
From the options given, the true statements about polygons include:
• The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.
• If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
• The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
Therefore, the correct options are B, D and E.
You can read more on polygon here:
https://brainly.com/question/20863477
You divide a number by 3 add 6 then subtract 7. The result is 4 what is the number?
Hey there! I'm happy to help!
Let's call our number n. Here is the info we have.
(n/3)+6-7=4
We combine like terms.
(n/3)-1=4
We add 1 to both sides.
n/3=5
We multiply both sides by 3.
n=15.
Have a wonderful day! :D
A prime factor is a factor that is also a prime number. Create a factor tree for 200 and list the prime factor for 200. Send. Help.
Answer:
Step-by-step explanation:
200 ; 2^3 x 5^2
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3 + 36
Given that:
Total cost for three CD = $36
Number of CD = 3
To find:
The expression that will represent the cost of one CD.
Solution:
We know that formula, to find the cost of each unit.
[tex]\text{Cost of each unit }=\dfrac{\text{Total cost}}{\text{Number of units}}[/tex]
Using this formula, we get
[tex]\text{Cost of each CD}=\dfrac{\text{Total cost for three CD}}{\text{Number of CDs}}[/tex]
[tex]\text{Cost of each CD}=\dfrac{36}{3}[/tex]
The required expression for cost of one CD is [tex]\dfrac{36}{3}[/tex].
Therefore, the correct option is C.
Answer
its 36/3
Step-by-step explanation:
It is worth 50 points so please help
Answer:
12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.
you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.
Step-by-step explanation:
Answer:
12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.
you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.
Step-by-step explanation:
What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...
Answer:
267
Step-by-step explanation:
let's say that
f(0)=-25
so in the sequence we are adding 4
so f(1)=-25+4=-21
and f(2)=f(1)+4=-25+4+4=-25 + 4(2)
so if you continue you will notice that
f(n)=-25+4(n)
so our question is
What is the 74th term of this arithmetic sequence?
so if f(0) is our first term, the 74th will be f(73)
so we can apply our formula
f(73)=-25+4(73)
=-25+292
=267
in basenall, the strike zone is region a baseball needs to pass through for the umpire to declare it a strike when the batter does not swing. the top of the strike zone is horizontal plane shoulders and the top of the uniform pants when the player in a batting stance. Find the height of T
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]T = 51 \ inches [/tex]
Step-by-step explanation:
From the diagram we can obtain the the height of T as follows
[tex]T = \frac{60 + 42 }{2}[/tex]
Answer:
51 inches
Step-by-step explanation:
By definition of midpoint, 42 through T + T through 60 is congruent to each other.
So, we can add 42+60 together to get the total distance. This is 102.
Next, we divide 102 by 2 because as mentioned since T is the midpoint, each "segment" is exactly 2 halves, they are congruent to each other.
102/2= 51 inches.
hope that helped :)
Help me out here brothers.
Answer:
x = 4
Step-by-step explanation:
1. Find the degree measure of the unknown angle:
90-68 = 22 degrees
2. Find the appropriate slope ratio:
22 degrees = 2/5
3. Redraw the right triangle on a coordinate plane with the right angle on the origin if you have trouble visualizing the next step.
4. 2/5 = rise/run = x/10
2/5 = x/10
x = 4
evaluate -12 + 5= PLEASE HELP IF YOU KNOW THE ANSWER PLEASE SHOW WORK!? THANK YOU!
Answer:
-7
Step-by-step explanation:
Answer:
-12+5=-7
this is similar to having a debt of $12 when you pay $5 when you pay $5 you are left with a debt of $7 so the answer is -7
On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.) b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.) c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
This question is incomplete, the complete question is;
Just how accurate are the weather forecasts we hear everyday? The table compares the daily forecast with a city's actual weather for a year.
FORECAST ACTUAL
Forcast Rain No Rain
Rain 28 63
No Rain 7 267
a) On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.)
b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.)
c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
Answer:
a) the percentage of days it actually rained = 9.6%
b) percentage of days rain was predicted = 24.9%
c) percentage of days forecast was correct = 80.8%
Step-by-step explanation:
First we get the total number of days;
28 + 63 + 7 + 267 = 365 days
a)
days it actually rained = ( 28 + 7 ) = 35
now the percentage of days it actually rained
35/365 × 100 = 9.58% ≈ 9.6%
b)
days rain was predicted = ( 28 + 63 ) = 91
now percentage of days rain was predicted
91/365 × 100 = 24.93% ≈ 24.9%
c)
days forecast was correct = ( 28 + 267 ) = 295
now percentage of days forecast was correct
295/365 × 100 = 80.82% ≈ 80.8%
y = 4[x - (3 - x)] - 7(x + 1)
Answer:
The answer is x - 19.
Hope it helps
what is the value of x? 42 45 3 15
Answer:
125 is the value of the question
Simplify 7x + x +2 help plssss I’m begging u rawrrr
Answer:
8x+2
Step-by-step explanation:
Answer:
[tex] \huge{ \fbox{ \sf{8x + 2}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]
[tex] \star{ \: \sf{ \: 7x + x + 2}}[/tex]
[tex] \text{ Step \: 1} : \sf{ \: Add \: the \: like \: terms : 7x \: and \: x}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \hookrightarrow{ \sf{8x + 2}}[/tex]
Hope I helped!
Best regards!:D
~[tex] \sf{TheAnimeGirl}[/tex]
Find the values of x and y. 4y 112° 7x +7°
If m = 7x + 7, m = 4y, and m = 112
since m = 112
112 = 7x + 7
112 - 7 = 7x
105= 7x
x = 15
112 = 4y
y = 28
Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found. Find the slope and y-intercept of the line.
Answer:
m=-63 b=825
Step-by-step explanation:
To get m, make sure you use rise over run. y2-y1 over x2-x1
Answer:
m (slope) = -63
b (y-intercept) = 825
Step-by-step explanation:
I had the same question.
Simplify the expression.
2x2 +8+ 3x2 + 4x - 10
A. 5x2 +4x-2
B. 2x2 + x - 10
C. 2x2 - x + 10
D. 5x2 +7x - 11
Answer:
2 x 2 + 8 + 3 x 2 + 4x - 10
4 + 8 + 8 + 6 + 4x - 10
26 + 4x - 10
20 + 4x
The answer is 20 + 4x
7. A sixth-grade class has 12 boys and 8 girls.
The teacher wants to divide them into
groups that have the same number of boys
and the same number of girls. What is the
greatest possible number of groups the
teacher can make?
A. 4 groups
C. 6 groups
D. 2 groups
B. 8 groups
7p = 644 solve for the variable
Answer:
p=92.
Step-by-step explanation:
7p=644
/7 /7 -----> divide by 7 on both sides
_______
p=92
Hope this helps!
Answer:
Divide both sides of the equation by 7
The variable is 92
Step-by-step explanation:
