What is the domain for the piece of the function represented by f(x) = x + 1? x < –1 –1 ≤ x ≤ 1 1 ≤ x < 2 x > 1
Answers
Note: As you missed to mention the graph for f(x) = x + 1 from where we had to check which option defines the accurate graph. But, after a little research, I was able to get the graph of this question, and hence attaching the graph. So, I am answering based on that graph which, anyways, would clear your concept about determining the domain of the function that shows in a graph.
Answer:
x > 1 is the domain of the f(x) = x + 1.
Step-by-step explanation:
A domain is the set of all x values that a function passes through. It means a domain is set of all input values where the function is defined, meaning whatever you input the x value, for every x-value there is only one y-value that corresponds to it.
So, now lets talk about the given function f(x) = x + 1 and its graph as shown in attached figure. Carefully observe the top right part of the graph of f(x) = x + 1. It is validating the condition of x > 1.
For example,
Just input some x values, greater than 1 i.e. x > 1, in f(x) = x + 1 to determine the output values.
For example, for x > 1
For x = 2, f(x) = 3. So, the graph must pass through of P(2, 3)For x = 3, f(x) = 4. So, the graph must pass through of P(3, 4)For x = 4, f(x) = 5. So, the graph must pass through of P(4, 5)and so on.
So, the top right part of the graph of f(x) = x + 1 is validating the condition of x > 1 as it is passing through P(2, 3), P(3, 4) and P(4, 5) etc. and so on.
So, x > 1 is the domain of the f(x) = x + 1.
Keywords: domain, function
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Answer:
"D" X > 1
Step-by-step explanation:
HOPE THIS HELPS!!!
Related Questions
For what value of x is line m parallel to line n? This is quite urgent.
Answers
Answer:
20
Step-by-step explanation:
Line m and n are parallel lines cut by the transversal (without name). So, angles with measures [tex]65^{\circ}[/tex] and [tex](3x+5)^{\circ}[/tex] are corresponding angles.
The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Hence,
[tex]3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20[/tex]
Company charges $80 per hour fee for computer repair plus a 1 time service fee. The total for 3 hours was $290. Write the point slope form of an equation to find the total fee y for any number of hours x
Answers
Answer:
y=80x+50 for the one time service fee.
Anytime after that would be y=80x
Step-by-step explanation:
Y is how much the total is and 80 is how much it is an hour. X is the number of hours worked. With the first time fee of $50, your equation would be y=80x+50. Anytime after that, excluding the “one time fee,” the equation would be y=80x.
Max wants to run 512 miles to train for track season. If the total length around the track is
34 mile, how many laps does Max need to run around the track?
Answers
Max needs to run 15 laps around the track.
Step-by-step explanation:
Given,
Distance Max wants to run = 512 miles
Length around the track = 34 mile
34 miles = 1 lap
1 mile = [tex]\frac{1}{34}\ laps[/tex]
512 miles = [tex]\frac{1}{34}*512[/tex]
512 miles = 15.06 laps
Rounding off to nearest whole number;
512 miles = 15 laps
Max needs to run 15 laps around the track.
Keywords: unit rate, division
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Given no other restrictions what are the domain and range of the following function f(x)=x^2-2x+2
Answers
Answer:
R= {y|y>=1}
Step-by-step explanation:
D = all real numbers R= {y|y>=1}.
All polynomials have domain of all real numbers.
For the range, the vertex format is useful;
Y= (X-1)^2 + 1
Since (X-1) is never less than zero, Y>=1.
That is where the vertex is, at Y=1
Find the greatest common factor.
4z, 6z3
Write your answer as a constant times a product of single variables raised to exponents.
Answers
The GCF of given terms is: 2z
Step-by-step explanation:
A largest factor that is shared by all given terms is called greatest common factor.
So,
Given terms are:
4z , 6z^3
Factoring the terms
[tex]4z = 2.2.z\\6z^3 = 2.3.z.z.z[/tex]
The common factors in both terms are: 2 and z
So,
The GCF of given terms is: 2z
Keywords: GCF, factors
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The vertices of parallelogram ABCD are located at points A(-2,-1), B(6,1), C(10,7), and D(2,5). Which of the following statements are true?
Select all that apply.
Answers
The statements which are true are:
(6, 6) is the midpoint of CD
(4, 3) is the intersection point of diagonals of parallelogram
Solution:
The mid point (x,y) = [tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Midpoint of ABA(-2, -1) and B(6, 1)
[tex]\text{ midpoint of AB } = (\frac{-2+6}{2} , \frac{-1+1}{2})\\\\\text{ midpoint of AB } = (2, 0)[/tex]
Thus statement 1 is wrong
Midpoint of BCB(6, 1) and C(10, 7)
[tex]\text{ midpoint of BC } = (\frac{6+10}{2} , \frac{1+7}{2})\\\\\text{ midpoint of BC } = (8, 4)[/tex]
Thus statement 2 is wrong
Mid point of CDHere ,
[tex]x_1[/tex] = 10
[tex]x_2[/tex]= 2
[tex]y_1[/tex]= 7
[tex]y_2[/tex]=5
now substituting these values,
mid point of CD = [tex](\frac{10+2}{2},\frac{7+5}{2})[/tex]
mid point of CD = [tex](\frac{12}{2},\frac{12}{2})[/tex]
mid point of CD = [tex](6, 6)[/tex]
Therefore (6, 6) is the midpoint of CD
Statement 3 is correct
Midpoint of ADA = (-2, -1) and D = (2, 5)
[tex]\text{ mid point of AD } = (\frac{-2+2}{2} , \frac{-1+5}{2})\\\\\text{ mid point of AD } = (0, 2)[/tex]
Thus statement 4 is wrong
Intersection point of diagonals of parallelogramLet AC and BD be the diagonals of parallelogram
The diagonals of a parallelogram bisect each other, therefore, the point of intersection is the midpoint of either.
Midpoint of AC:
A = (-2, -1) and C(10, 7)
[tex]\text{ Midpoint of AC } = (\frac{-2+10}{2} , \frac{-1+7}{2})\\\\\text{ Midpoint of AC } = (4,3)[/tex]
Thus statement 5 is correct
Which values of x are solutions to the inequality?
x < -200. select each correct answer
A. x = - 120
B. x = - 210
C. x = -200
D. x = -201
Answers
Answer:
B. [tex]x=-210[/tex]
D. [tex]x=-201[/tex]
Step-by-step explanation:
Given:
The inequality for 'x' is given as:
[tex]x<-200[/tex]
The above inequality tells us that, the value of the variable 'x' is less than -200.
-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.
Example: -2 is less than -1 although 2 has a greater magnitude than 1.
Therefore, the numbers that are less than -200 are -210 and -201.
So, the values of 'x' that satisfy the given inequality are -201 and -210
Thus, the correct options are (B) and (D).
The points (2, - 8) and (1,r) fall on a line with a slope of - 9. What is the value of r? r=
Answers
Answer:
r=-2
Step-by-step explanation:
difference in y/difference in x =slope
-r-8/1-2=-9
-r-8=-9*-1
-r=10+8
r=-2
Hue is arranging chairs.She can form 6 rows of a given length with 3 chairs left over,or 8 rows of that same length if she gets 11 more chairs.Write and solve an equation to find how many chairs are in that row length
Answers
Answer:
There are 7 chairs in each row.
Step-by-step explanation:
Hue is arranging some number of chairs. If she arranges them in 6 rows of equal lengths then there will be 3 chairs leftover, or she arranges them in 8 rows of that same length then she requires 11 more chairs.
Let us assume that there are P numbers of chairs and there are x chairs in each row.
Therefore, we can write that
6x + 3 = P ....... (1) and
8x = P + 11
⇒ 8x - 11 = P ........ (2)
Now, from equations (1) and (2) we get,
6x + 3 = 8x - 11
⇒ 2x = 14
⇒ x = 7
Therefore, there are 7 chairs in each row. (Answer)
In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free time per day what percent of free time is he using to play video games and use the internet
Answers
Final answer:
Gary spends approximately 54.29% of his free time on video games and the internet.
Explanation:
To find the percentage of free time that Gary spends on video games and the internet, we need to calculate the total number of hours he spends on these activities and divide it by the total number of hours of free time he has.
First, calculate the total number of hours Gary spends on video games and the internet: 10 + 9 = 19 hours.
Next, calculate the total number of hours Gary has for free time in a week: 5 hours per day x 7 days = 35 hours.
To find the percentage, divide the total number of hours spent on video games and the internet by the total number of hours of free time and multiply by 100: (19 / 35) x 100 = 54.29%.
Therefore, Gary spends approximately 54.29% of his free time on video games and the internet.
To find the percentage of free time that Gary is using to play video games and use the internet, calculate the total free time and the proportion of time spent on video games and internet use.
Explanation:To find the percentage of free time that Gary is using to play video games and use the internet, we need to calculate the total amount of free time Gary has and then determine the proportion of that time spent on video games and internet use.
Gary spends 10 hours per week on the internet and 9 hours per week on video games. This is a total of 10 + 9 = 19 hours per week.
Since Gary has 5 hours of free time per day, he has a total of 5 * 7 = 35 hours of free time per week.
To find the percentage, we divide the time spent on video games and internet use (19 hours) by the total free time (35 hours) and then multiply by 100. So, the percentage is (19/35) * 100 = 54.28% (rounded to two decimal places).
HLEP PLEASE!!!!!!!!!!!!!!!!!Add. State the sum in simplest form.
Answers
Answer: the answer would be B. ( 18y+35x over 15xy
In the diagram, which center describes the point equidistant to the stove, the refrigerator, and the sink?
stove
sink
refrigerator
the centroid
the orthocenter
HELPPPPPPPPPP PLEASEEEEEEE
Answers
Answer:
Circumcenter describes the point equidistant to the refrigerator, stove and the sink
Step-by-step explanation:
The basic construction of the circumcenter is to identify the midpoints of the original triangle. This circumcenter is the point where all the perpendicular bisector of the sides of the triangle intersects. For an triangle that is acute-angled, its circumcenter will lie inside the triangle. For an obtuse-angled triangle, the circumcenter lies outside of the triangle
, In a right-angled triangle, Circumcenter lies at the midpoint of the hypotenuse side of triangle.
To Find the circumcenter of the triangle
find the midpoints of the two side using midpoint formulafind the slopes of the sidesfind the slopes of the perpendicular bisectorusing these data make two equationssolving the 2 equation will give the circumcenter of the triangleAnswer:
Circumcenter
Step-by-step explanation:
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?
Answers
Answer:
Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle
Step-by-step explanation:
Full bottle : 100%
6.8 ounces: 20%
100% / 20% = 5
Full bottle = 6.8 x 5 = 34 ounces
water remain in bottle = 34 -6.8 = 27.2 ounces
There is 34 ounces of water in the bottle initially and this can be determined by using the unitary method.
Given :
Diego pours 6.8 ounces of water from a full bottle.He estimates that he poured out 20% of the water in the bottle.The following steps can be used in order to determine the total amount of water in the full bottle:
Step 1 - The unitary method can be used in order to determine the total amount of water in the full bottle.
Step 2 - According to the given data, Diego pours 6.8 ounces of water from a full bottle which is the 20% of the water in the bottle.
Step 3 - If 20% is 6.8 ounces of water than the 100% is given by:
[tex]=\dfrac{6.8}{20}\times 100[/tex]
Multiply 6.8 by 100 in the above expression.
[tex]=\dfrac{680}{20}[/tex]
Divide 680 by 20 in the above expression.
= 34 ounces
So, there is 34 ounces of water in the bottle initially.
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I don’t understand what it is asking so I need help with the work
Answers
Answer: The diver is 23 feet under sea level
Step-by-step explanation:
If we draw a vertical number line (image attached), where point 0 is sea level (the diver's initial position), the first point under sea level is -20, since we are told it dives a distance of 20 ft (the negative sign is only to indicate the direction, since a distance cannot be negative).
Then, the diver goes 10 ft deep. This means now it is 30 ft under sea level and the second point is -30.
After that the diver swims up 12 ft, hence we have to count 12 points up in our number line and the corresponding point is -18.
Finally, the diver swims 5 ft lower and keep that position. Hence, we have to count 5 points below point -18 in the number line, resulting in the last point: -23.
This means the diver's final position is 23 feet under sea level.
If we want to prove it with numbers, we can do it as follows:
20 ft (down)+10 ft (down)-12 ft (up)+5 ft (down)=23 ft
647 divided by 3 step by step. thanks.
Answers
Answer:
215
Step-by-step explanation:
215
3
647
6
04
3
17
15
2
hope this helped
what is $750x+150<1000
Answers
For this case we must resolve the following inequality:
[tex]750x + 150 <1000[/tex]
Subtracting 150 from both sides of the inequality we have:
[tex]750x <1000-150\\750x <850[/tex]
We divide between 750 on both sides of the equation:
[tex]x <\frac {850} {750}[/tex]
We simplify, dividing by 5 numerator and denominator:
[tex]x <\frac {170} {150}[/tex]
We simplify, dividing by 5 numerator and denominator:
[tex]x <\frac {34} {30}[/tex]
We simplify, dividing by 2 numerator and denominator:
[tex]x <\frac {17} {15}[/tex]
Thus, the solution is given by all values of x less strict than[tex]\frac {17} {15}[/tex]
Answer:
[tex]x <\frac {17} {15}[/tex]
What is 879 minus 690?
Answers
Answer:
189
Step-by-step explanation:
Determine whether the given equation has one solution, no solution, or infinitely many solutions.
2 - 3(x + 4) = 3(3 - x)
one solution
no solution
infinitely many solutions
cannot be determined
Please show me how you get your answer, I really need to know how to do this
Answers
Answer:
No Solution.
Step-by-step explanation:
2 - 3(x + 4) = 3(3 - x)
2 - 3x - 12 = 9 - 3x
Move the terms in x to one side and the numbers to the other
-3x + 3x = 9 - 2 + 12
0 = 19.
This is absurd so there is No Solution.
Barney has
[tex]16 \frac{1}{5} [/tex]
yards of fabric. To make an elf costume, he needs
[tex]5 \frac{2}{5} [/tex]
yards of fabric. How many costumes can Barney make?
Answers
Barney can make 3 costumes from the total fabric.
Step-by-step explanation:
Given,
Amount of fabric Barney has = [tex]16\frac{1}{5}=\frac{81}{5}\ yards[/tex]
Amount of fabric required for an elf costume = [tex]5\frac{2}{5}=\frac{27}{5}\ yards[/tex]
Let,
x represent the number of costumes that can be make from total fabric.
[tex]\frac{27}{5}x=\frac{81}{5}[/tex]
Multiplying both sides by 5/27
[tex]\frac{5}{27}*\frac{27}{5}x=\frac{81}{5}*\frac{5}{27}\\\\x=\frac{81}{27}\\\\x=3[/tex]
Barney can make 3 costumes from the total fabric.
Keywords: fraction, multiplication
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The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved . The bracelet costs $30. How much money does Lily have saved?
Answers
Lily has saved $ 7
Solution:
Given that bracelet costs $30
The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved
Cost of bracelet = $ 30
From given statement,
Cost of bracelet = 5 times the amount she has saved - 5
Let "x" be the amount saved by lily
Cost of bracelet = 5 times x - 5
Here "times" represents multiplication
30 = 5(x) - 5
30 = 5x - 5
30 + 5 = 5x
5x = 35
On dividing 35 by 5 we get 7
x = 7
Thus Lily saved $ 7
Answer:
1. Start with the cost of the bracelet: 30.
2. Add 5: 30 + 5 = 35.
3. Divide by 5: 35 / 5 = 7
So, Lily has $7 saved
Step-by-step explanation:
Hope it helpss ! :D
what is x+4 over 3 equals 6
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
(x+4)/3=6
Multiply by 3 on both sides
x+4=18
Subtract 4 from both sides
x=14
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Round 6.58 to the nearest whole number
Answers
Answer: The nearest whole number to 6.58 would be 7.
Step-by-step explanation: The whole number 7 is closer to 6.58 than any other whole number. Hence, 6.58 rounded to the nearest whole number would be 7.
A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?
Answers
Answer: Doubling the radius.
Step-by-step explanation:
The volume of a cone can be found with the following formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of the cone.
Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.
Identifiying that:
[tex]r=10.4\ ft\\\\h=8.4\ ft[/tex]
You get this volume:
[tex]V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3[/tex]
If you double the radius, the volume of the conical tent will be:
[tex]V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3[/tex]
When you divide both volumes, you get:
[tex]\frac{3,805.70\ ft^3}{951.43\ ft^3}=4[/tex]
Therefore, doubling the radius will quadruple the volume of the tent.
What is the percentage of increase from the least expensive policy to the most expensive policy? To the
nearest tenth of a percentage.
Answers
7.8 6.8 and 5.8
Is what they forgot to put
Answer is 7.8
A cell phone company charges a $20 flat fee plus 5 cents for every minute used for calls.
Which algebraic equation that could be used to represent the situation?
A.
Y= 0.05x + 20
B.
Y = 5x + 20
C.
Y = 20x + 0.5
D.
Y = 20x + 5
Answers
What polynomial should be subtracted from 7x^2−6x+5 to get the difference equal to x^2−x.
Answers
Answer: 6x^2-5x+5
Step-by-step explanation:
Answer:
6x^2-5x+5
Step-by-step explanation:
Essentially, you just put the two in a column:
7x^2−6x+5
- y
=x^2-x
("y" represents answer)
Sam and Odel have been selling frozen pizzas for a class fundraiser. Sam has sold half as many pizzas as Odel. Together they have sold a total of 126 pizzas. How many pizzas did Sam sell
Answers
Answer:
Step-by-step explanation:
Sam has sold 63 pizzas, because the problem is asking what is the half of 126 basically, which is 63 and is also saying that sam sold HALF as many pizzas.
HELP ME 15 POINTS!!!!
Which is the MOST REASONABLE approach for the company to take to lessen the number of latecomers to work?
A) Relocate the company to an area with less traffic.
B) Deduct the lost time for any reason from vacation time.
C) Delay the start time of work days when there is bad weather.
D) Implement better procedures at the security gate.
Answers
Answer:
D) Implement better procedures at the security gate.
Step-by-step explanation:
The inequality x + 12x + 35 has two critical points and three possible intervals for solutions. Choose
each set of possible test points for the three intervals.
-8,-6,4
-10, -6,0
-6,0,6
-6,0, 10
Answers
Answer:
Option 1 and 2.
Step-by-step explanation:
Consider he given inequality is
[tex]x^2 + 12 x+35\ge0[/tex]
Splitting the middle term we get
[tex]x^2 +7x+5x+35\ge0[/tex]
[tex]x(x+7)+5(x+7)\ge0[/tex]
[tex](x+5)(x+7)\ge0[/tex]
The related equation is
[tex](x+5)(x+7)=0[/tex]
Using zero product property we get
[tex]x+5=0\Rightarrow x=-5[/tex]
[tex]x+7=0\Rightarrow x=-7[/tex]
Draw number line and mark -5 and -7 on it.
Now the three intervals are (-∞ , -7], [-7,-5] and [-5,∞).
The set of possible test points for
⇒ (-∞ , -7] → -8, -10
⇒ [-7,-5] → -6
⇒ [-5,∞) → -4, 0, 4, 6
-8,-6,-4 and -10,-6,0 satisfies the given condition.
Therefore, the correct options are 1 and 2.
5) Devon has 2 equal stacks of Post-Its in his locker. He used 14 of them last week and has
22 left over. How many Post-Its were in each stack?
Answers
Answer: 18
Step-by-step explanation:
1.We must total 14 and 22 (14+22) that brings the number of post which is 36.
2.The we must divide 36 by 2 (36÷2). It said two stacks that is why the division by 2 comes in place and it gives us our answer 18