Determine the vertex point, domain, and range of the following function
y = -|x| + 2

Answers

Answer 1
y = |x| is a v-shaped graph that opens up and have vertex (0, 0).
Now we need to see each change done to it.

y = -|x| makes every y-coordinate its additive inverse, so y = -|x| still has the vertex at (0, 0), but now is turned downward.

y = -|x| + 2 can be changed to

y - 2 = -|x|

Now y was replaced by y - 2. When y is replaced by y - k, the graph shifts vertically k units. In this case, k = 2, so the graph shifts up 2 units. The vertex is now at (0, 2).

Vertex: (0, 2)
Domain: all real numbers
Range: all real numbers less than or equal to 2.

Related Questions

The table below lists the number of floors in the 10 tallest buildings in the world. Note: The buildings are organized by height, not by the number of floors. Skyscraper Number of Floors Taipei 101 Shanghai World Financial Center 101 Petronas Tower 1 88 Petronas Tower 2 88 Greenland Square Zifeng Tower 69 Sears Tower 108 Jin Mao Tower 88 Two International Financial Centre 88 Citic Plaza 80 Shun Hing Square 69 What is the difference between the median and the mode for the number of floors?

Answers

Median - 88

Mode - 88

Mean - 0
the median is a value or quantity that lies at the midpoint of a frequency of observed quantity, the median of 10 and 1 is 5 the mode of a set of numbers is one of the numbers that occurs most often so in set 5595659 5 is the mode.

So in this case the median is 88 and the mode is 88 the mean is 0

BRAINLIESTTTT

A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit. (10 points)

Answers

So, we are given the speed in mi/min. We want to convert this to mi/hr. We can do this through cross multiplication.

(11 miles/1min) * (60min/hr) = 660 mi/hr

Now, we need to find the total distance flown:
TD= 6 trips*(500 miles/1 trip) = 3,000 mi

Lastly, we find total time using our converted speed and total distance.

speed = (total distance (in miles))/(total time (in hours))

660mi/hr= 3000mi / t
660t=3000
t=3000/660
t= 4.54 hrs


Answer: The plane will fly a total of about 4 and a half hours.

Experts/ace plz helppp

Answers

table A from 2-3 minutes it rose 64.9-61.3 = 3.6

from 3-7 it rose 79.3 -64.9 = 14.4 = 3.6 degrees per minute


 Table B needs to raise faster than 3.6 per minute

64.4 -61 = 3.4

64.6 - 61 = 3.6

64.3 -60.6 = 3.7

 so the 3rd table is correct

WILL MARK THE BRAINLIEST


Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error.

Answers

The answer is 11.4% where 2500-11.4%=2215.

Answer:

11.4 there now mark that person brainliest

Step-by-step explanation:

Which plane figure generates a cylinder when it rotates about the dashed line?


Thank you :)

Answers

The circle will form a sphere. (See 1st figure attached)

The rhombus (it can also be a square) will form a 2 cones attached at the bottom. (See 2nd figure attached)

The rectangle will form a cylinder. (See 3rd figure attached)

The triangle will form a cone.


Answer: The third figure.

Answer:

3rd one

Step-by-step explanation:

y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?

Answers

x will be 6

because when y is 7 and x is 2 they multiplied 7×3 and they got y=21 so you have to multiply 2 by 3 and that is 6 hopefully this helps.

What is the component form of the vector?

Answers

Final answer:

The component form of a vector represents it as the sum of its scalar components along the coordinate axes. It is used to describe a vector's individual directional effects in a Cartesian coordinate system, often denoted by Axi + Ayj for 2D vectors, and an additional Azk for 3D vectors.

Explanation:

The component form of a vector refers to its representation as the sum of its separate parts along the coordinate axes. In a two-dimensional system, a vector can be broken down into the x and y components. Each component is essentially the projection of the vector along one of the coordinate axes. For example, in a rectangular (Cartesian) coordinate system, a two-dimensional vector A with an initial point and a terminal point can be represented by the difference in the x-coordinates (horizontal component) and the difference in the y-coordinates (vertical component).

The formula to represent a two-dimensional vector in component form is A = Axi + Ayj, where Ax and Ay are the scalar components of the vector along the x-axis and y-axis, respectively, and i and j are the unit vectors in the direction of the x-axis and y-axis. In three-dimensional space, an additional z-component is included, resulting in the component form A = Axi + Ayj + Azk, with k being the unit vector along the z-axis.

What is the length of AC

Answers

Answer:

126

Step-by-step explanation:

Answer:

The correct answer is D. 126

Step-by-step explanation:

In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.

The relationship that we can write is between the length of its sides.

The relationship is a division between the length of the sides :

[tex]\frac{AC}{AB}=\frac{CE}{DE}[/tex] ⇒

[tex]\frac{140-x}{81}=\frac{x}{9}[/tex]

Solving the equation

[tex]x=\frac{(140-x)}{81}.(9)[/tex]

[tex]x=\frac{(140-x)}{9}[/tex]

[tex]9x=140-x[/tex]

[tex]10x=140[/tex]

[tex]x=14[/tex] ⇒

If the side AC is [tex]140-x[/tex] the length is

[tex]140-14=126[/tex]

The correct option is D. 126

It is 4 kilometers from chris's house to the nearest mailbox. how far is it in meters?

Answers

1km=1000m
therefore, 4km=4000m

Graph the function shown in the picture. I need this submitted quick and I’m so confused. Please help!

Answers

Hello there!

I used a graphing calculator so I hope this helps...

Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below.

Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?
A. x=-2
B. x=-1
C. x=1
D. x=5
Those are the choices

Answers

the answer is A. x= -2 the first choice

Answer:

Option A is correct

x= -2 is an approximate solution of [tex]2x^2-2 = -0.5x+4[/tex]

Step-by-step explanation:

As per the statement:

Fran graphs the equations

[tex]y=2x^2-2[/tex] and

[tex]y = -0.5x + 4[/tex]

Equate these two equations:

[tex]2x^2-2 = -0.5x+4[/tex]

You can see the graph for these equations as shown.

Since, the line and the parabola intersects at x = -2 and x = 1.5.

From the given options:

x = -2 is the solution for these equations.

Therefore, the value is an approximate solution of [tex]2x^2-2 = -0.5x+4[/tex] is, x = -2

If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?

Answers

10 divided by 5 times 10

Choose the correct pair !!

Answers

Greetings!

Find the POI.
[tex] \left \{ {{3x+2y=12} \atop {6x+3y=21}} \right. [/tex]
Multiply Equation #1 by 2.
[tex] \left \{ {{2(3x+2y)=2(12)} \atop {6x+3y=21}} \right. [/tex]
[tex] \left \{ {{6x+4y=24} \atop {6x+3y=21}} \right. [/tex]
Eliminate with subtraction.
[tex] \frac{\left \{ {{6x+4y=24} \atop {6x+3y=21}} \right. }{0x+y=3} [/tex]
[tex]y=3[/tex]

Substitute the value of y.
[tex]6x+3y=21[/tex]
[tex]6x+3(3)=21[/tex]
Simplify.
[tex]6x+9=21[/tex]
Add -9 to both sides.
[tex](6x+9)+(-9)=(21)+(-9)[/tex]
[tex]6x=12[/tex]
Divide both sides by 6.
[tex] \frac{6x}{6}= \frac{12}{6} [/tex]
[tex]x=2[/tex]

The Solution/POI is:
[tex](2,3)[/tex]

Hope this helps.
-Benjamin

find the x-intercept and the y-intercept of the graph of the equation 5x - y =35

Answers

This is a diagram of the graph. The x-value is (7,0) and the y-value is (0,-35). The site here is desmos you should try it.
I hope this helps love! :)

Express in exponential form.

Log2(x)=3

Answers

Log2 (x)=3
Log 2 × x=3
Log x=3-2
Log x=1
X=1
1/x = log2/3 (x)

Answer:

[tex]2^{3}=x[/tex]

Step-by-step explanation:

We have to express the log in exponential form

The given expression is [tex]log_{2}(x)=3[/tex]

As we know, if  [tex]log_{b}a=c[/tex] then [tex]b^{c}=a[/tex]

So [tex]2^{3}=x[/tex] will be the esponential form of  [tex]log_{2}(x)=3[/tex]

If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15

Answers

The direction of fastest increase is along the line \(y = x + 1\).

Given that [tex]\(y\)[/tex] varies directly as the square root of [tex]\(x\)[/tex], we can express this relationship as:

[tex]\[ y = k \sqrt{x} \][/tex]

where [tex]\(k\)[/tex] is the constant of variation.

We are given that when [tex]\(x = 16\), \(y = 12\)[/tex]. Let's find the constant of variation:

[tex]\[ 12 = k \sqrt{16} \][/tex]

[tex]\[ 12 = 4k \][/tex]

[tex]\[ k = 3 \][/tex]

Now we can write the equation of variation:

[tex]\[ y = 3 \sqrt{x} \][/tex]

To find [tex]\(x\)[/tex] when [tex]\(y = 15\)[/tex], we can solve for [tex]\(x\):[/tex]

[tex]\[ 15 = 3 \sqrt{x} \][/tex]

[tex]\[ \sqrt{x} = \frac{15}{3} \][/tex]

[tex]\[ \sqrt{x} = 5 \][/tex]

[tex]\[ x = 5^2 \][/tex]

[tex]\[ x = 25 \][/tex]

Therefore, when [tex]\(y = 15\)[/tex], the corresponding value of [tex]\(x\)[/tex] is 25.

Find the quotient.

(6x 2 + 23x + 20) ÷ (5 + 2x)

3x - 4
3x + 4
3x +19

Answers

3x+4 is the answer. hope i helped!

If all four sides of a quadrilateral measure the same length, and one corner angle measures 90 degrees, Circle that shape the quadrilateral can be classified as.
A. Rhombus
B. Rectangle
C. Square
D. Parallelogram
E. All of these

Answers

Square, since the square is the only quadrilateral that fits that description.

its gonna be all the above because they all have 90 degree angles

PLZ HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!! 15 PTS!!!!!!

What is the value of x?

angle PIR
angle SIM

Answers

they intersect so therfor PIR=SIM

so therefor 4x+24=7x+3
minus 4x both sides
24=3x+3
minus 3 both sides
21=3x
divide both sides by 3
7=x
x=7

Rick works two jobs to pay for college. he tutors for $20 per hour and also works as a bag boy for $7 per hour. due to his class and study schedule, rick is only able to work up to 25 hours per week but must earn at least $200 per week. if t represents the number of hours rick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b less than or equal to 25 20t + 7b greater than or equal to 200 t + b greater than or equal to 25 20t + 7b = 200 t + b less than or equal to 25 20t + 7b less than or equal to 200 none of the systems shown represent this scenario.

Answers

the answer is actually in the question, but you have to write it out mathematically.

he needs at least $200 per week:

20t + 7b > 200 (greater than or equal to)

he can work up to 25 hours per week:

t + b < 25

so this is your system of inequalities. hope this helps!

What is the height of the wall that is 30 feet long and that required 2310 bricks to build

Answers

(2310)=7(30)H
2310=210H

11=H

I hope this helps!

Answer:

11=h

Step-by-step explanation:

A leaf hanging motinles on a tree has what kimd of energy

Answers

What are the options?

It has potential energy. Potential energy is the energy possessed by a body by virtue of its position. It is the energy that a body which is at rest and not moving has. Hope that helped. Have a nice day

Jessica rented 1 movie game and 3 Movies for $11.50 the cost of the video game is $4.75 to rent also the movie

Answers

If the cost of the game is $4.75, then subtract that amount from $11.50, making it $6.75. Divide that amount by 3 to find the price of each movie. The price of each movie is $2.25. If you want to find the price of each individual item, then a game is $4.75, and a movie is $2.25.

Which of the following is the solution to 3/5 = 20/(x+3)?


3/91


-91/3


-3/91


91/3

Answers

Answer:

  91/3

Step-by-step explanation:

Multiply by 5(x+3) and you get ...

  3(x +3) = 100

  x +3 = 100/3 . . . . . . . . . . divide by 3

  x = 100/3 -3 = 91/3 . . . . subtract 3

I need help with 1-3 I just don’t understand how to do it at all please help

Answers

1. The transitive property
-if a=band b=c, then a=c
2.Add
3.Subtraction Property of Equality
Hope this helps

if y = 2x + 7 were changed to y = 1/2 x + 7 , how would the graph of the new function compare with the original ?

Answers

y = 2x + 7.....the slope is 2 and the y int is 7
y = 1/2x + 7...the slope is 1/2 and the y int is 7

In comparison, the only difference is the slope. And if the original equation has a slope of 2, and it is changed to a slope of 1/2, then it will have a " less steep " slope. In other words, the slope will not be as steep....but the y intercepts will be the same.
Final answer:

The change from y = 2x + 7 to y = 1/2 x + 7 alters the slope, making the new function's graph less steep. The y-intercept remains at y = 7, ensuring the graphs coincide at this point.

Explanation:

The question asks how the graph of the function y = 1/2 x + 7 would compare to the graph of the original function y = 2x + 7. The key difference between these two functions is the slope part, which is the coefficient of x. In the original function, the slope is 2 indicating a rise of 2 on the vertical (y) axis for every increase of 1 on the horizontal (x) axis. But in the new function, the slope is 1/2, indicating a rise of only 1/2 on the y-axis for each increase of 1 on the x-axis. So, the new function's graph would be less steep than the original's. The y-intercept for both functions remains the same, at y = 7. These changes illustrate how the slope and y-intercept of the line equation (y = mx + b) determine the shape and position of the line on the graph.

Learn more about slope-intercept form here:

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A set of equations is given below:

Equation R: y = 5x + 10
Equation S: y = 5x + 5

Which of the following options is true about the solution to the given set of equations?
A: One solution
B: Two solutions
C: Infinite solutions
D: No solution

Answers

no solution. the answer is D.

Answer:

There is no solution.

Step-by-step explanation:

7x to the second power - x=6 find the solution set

Answers

7x^2 - x = 6
7x^2 - x - 6 = 0
(7x + 6 )(x - 1) = 0
7x + 6 = 0; x = -6/7
x - 1 = 0; x = 1

answer
x = -6/7; x = 1

expand (2x + 3)^5 can you please show your work because i am still very confused on how to do this.

Answers

Product of two binomials.
You can use the FOIL method which means First, Outer, Inner, Last.
Essentially, you are multiplying (2x+3) by itself, 5 times.
It is a very cumbersome solution, but at the end I have this answer:

32x^5+250x^4+720x^3+1080x^2+810x+243

If y = 5/17 when x = 10, find y when x=5

Answers

5/34 is the answer for this problem
Final answer:

To find y when x = 5, you can substitute x = 5 into the given equation. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4) to find y = -182.15.

Explanation:

To find y when x = 5, we can substitute x = 5 into the given equation. Given that y = 5/17 when x = 10, we can find the value of y when x = 5. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4):

y = -173.5 + 4.83(5) - 2(16.4)
y = -173.5 + 24.15 - 32.8
y = -182.15

Learn more about Algebra here:

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