Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)

Answers

Answer 1

The correct answer is vertex of the graph D. (0, 2).

To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).

Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.

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Related Questions

write the exact value of the side length of a square with the given area. if the exact value is not a whole number, estimate the length.
100 square units
95 square units
36 square uits
30 square unts

Answers

36 square units will estimate the length if not hopefully someone helps you out

abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce

Answers

Answer:

$1.918

Step-by-step explanation:

The volume of a right circular cone is obtained using the formular :

V = 1/3πr²h

From the question:

Diameter = 9 inches ; height = 10 inches

Radius = diameter /2 = 9/2 = 4.5 inches

V = 1/3*π*4.5²*10

V = 211.95 in³

Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³

Density of popcorn = 34 ounces / ft³

Density of popcorn CONTAINER = x

1 ft³ = 34 ounce

0.12265625 ft³ = x

Cross multiply

x = 34 * 0.12265625 ft³

x = 4.1703125 ounce

Hence, popcorn continer has a density of 4.1703125 ounce

If price per container = $8

The price per ounce = $8 / 4.1703125

= $1.918

Hence, price per ounce is $1.918

What is the square root of -1?

Answers

Does not exist cause even on the calculator it will say math error

HELP ASAP I WILL GIVE BRAINLIST

Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person

Answers

Answer:

A: the function is 537(0.3x)

B: so we just plug in the numbers where x is that amount of years so

52 years from 1970 so 2022

537(1.56)

x=837.72

so the answer is 838

Hope This Helps!!!

(4-2)^2x5+9
Answer+step by step

Answers

Answer:

4-2 = 2

2x5+9 = 19

2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288

Answer:

29

Step-by-step explanation:

Use PEMDAS

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

(4-2)^2×5+9 first you do parenthesis which is (4-2)=2

(2)^2×5+9 next the exponents (2)^2=4

4×5+9 now the multiplication, 4×5=20

20+9 And now finish it off with the addition

So the answer ends up being 29.

What is the name of the shape depicted in the graph below?
A. Limaçon
B. Lemniscate
C. Rose
D. Cardioid

Answers

Answer: Lemniscate

Step-by-step explanation:

The name of the shape depicted in the graph is Lemniscate option (B) is correct.

What is lemniscate?

It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞

The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.

The algebraic equation for the lemniscate is given by:

[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]

Where a is the constant.

If we put x = 0 and a = 1 we get y = 0

If we put x = 1 and a = 1 we get y = 0

If we put x = -1 and a = 1 we get y = 0

And so on we will get a curved shape shown in the picture.

Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.

Learn more about the lemniscate here:

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who is popularly known as the father of economics​

Answers

Answer:

Adam smith

he is known as father of economics.

hope it helps

Answer:

Adam Smith

Step-by-step explanation:

Please help image attached

Answers

Answer:

hope it helps mark as brainliest

Find the perimeter of this quarter circle with radius,
r
= 2mm.
Give your answer as an expression in terms of
π
.

Answers

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

Which expression is equivalent to 5^6?

Answers

The answer would be the second one

80ft
18ft
what is the length of the hypotenuse in feet?​

Answers

Answer:

Solution given:

perpendicular [P]=80ft

base[B]=18ft

hypotenuse [H]=?

By using Pythagoras law

H²=P²+B²

H²=80²+18²

H=[tex]\sqrt{6724}=82[/tex]

the length of the hypotenuse in feet is 82ft.

a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function

Answers

Answer:

The correct answer is d

Step-by-step explanation:

A graph of a non-vertical straight line is a linear function

What is the end behavior of (x, 1) and (5x, -3)?

Answers

Answer:

The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.

Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?

Answers

Answer:

12

Step-by-step explanation:

because you replace  8 with 3


3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.

Answers

Answer:

Step-by-step explanation:

[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]

Answer:

x = -3 , 7

Step-by-step explanation:

f (x) = g(x)

x ² − 8x −15 = −4x + 6

x ² − 8x − 15 + 4x − 6 = 0

x ² −4x−21 = 0

x ² −7x + 3x −21 = 0

x ( x − 7 ) + 3( x − 7 ) = 0

( x + 3 ) ( x − 7 ) = 0

x = −3, 7

5690 as standard form

Answers

Answer:

It already is in standard form btw

Step-by-step explanation:

Answer:

5690 is standard form

five thousand six hundred ninety is word form

5000+600+90 is expanded form

hope this helps

have a good day :)

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.

What is the angle measure of the turn that the key made?

Answers

9514 1404 393

Answer:

  156°   or   13π/15 radians

Step-by-step explanation:

156 times 1° is 156°.

In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.

how can i solve the following
4x-3=2x+7

Answers

Answer:

x = 5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

Add 3 and subtract 2x from both sides of the equation:

4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)

4x - 2x = 7 + 3

2x = 10

Next, isolate the x by dividing 2 from both sides of the equation:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

~

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

Subtract 2x from each side

4x-2x-3=2x-2x+7

2x -3 = 7

Add 3 to each side

2x-3+3=7+3

2x = 10

Divide by 2

2x/2 =10/2

x = 5

side lengths and angle measures in similar figures ​

Answers

Step-by-step explanation:

You can see the full detailed explanation in the attached files

I really need help! Please find the area of the polygon?​

Answers

Answer:can you help me

write a letter to your friend about important of reading books?

Answer:

Area = 189 m^2

Step-by-step explanation:

This is a trapezium with height h=9m, base, b = 24, top, t = 18.

The area is given by

A = (base+top)*height/2

= (24+18)*9/2

= 189 m^2

a patient is advised to supplement her diet with 3g of calcium per day. The calcium tablets she purchases 300mg per tablet. How many tablets should the patient take per day?​

Answers

Answer:

Number of tablet needed = 1 tablet

Step-by-step explanation:

Given:

Amount of calcium per day needed = 3 gram

Amount of calcium in a tablet = 300 mg

Find:

Number of tablet needed

Computation:

Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet

Number of tablet needed = 3gram / 300 milligram

Number of tablet needed = 300 milligram / 300 milligram

Number of tablet needed = 1 tablet

Calculate a positive co-terminal angle for θ=40°

Answers

Answer:

400

Step-by-step explanation:

angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.

QUESTION 5 of 10: You have a choice of a $2,000 rebate on a $13,000 vehicle or 18% off. Which is better?
O a) Rebate
Ob) 18% off
Submit
C2021 Knowledge Matters, Inc.
Lesson
Estimated time: 60 minutes

Answers

Answer:

18% off

Step-by-step explanation:

i just took the test

Solve the system of equations given below. y - 15 =3x and -2 + 5y = -3

Answers

Answer:

y-15=3x balakaksnzujsbhzbskndh

Answer:

x = - 6 , y = - 3

Step-by-step explanation:

y - 15 = 3x  => y = 3x + 15 ------- ( 1 )

-2x + 5y = - 3 --------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

-2x + 5 ( 3x + 15) = - 3

-2x + 15x + 75 = - 3

 13x = - 3 - 75

 13x = - 78

   x = - 6

Substitute x in ( 1 ) :

         y = 3x + 15

            = 3 ( - 6 ) + 15

            = - 18 + 15

          y  = - 3

PLEASEEEE HELPPPPP IM BEGGING SOMEONE HELPPP PLEASEEEEEEEEE PLEASEEEEEEEE​

Answers

Answer:

x = -1

y = 6

Step-by-step explanation:

We can multiply the second equation by two, so we can have opposite y terms:

2 (3x - 2y = -15)

6x - 4y = -30

Now, we can add the equations, and the y terms can cancel out:

  7x + 4y = 17

+ 6x - 4y = -30

13x = -13

x = -1

Now, we can plug in x:

3(-1) - 2y = -15

-3 - 2y = -15

-2y = -12

y = 6

X= -1
Y= 6
That’s the answer

Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?

Answers

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?

–1
0
5
undefined

Answers

Undefined.

All lines that are parallel to the y-axis have an undefined slope.

Answer:

This is an Undefined Slope

the Satya Vansh become an important dynasty in the world of ​

Answers

Answer: it’s 352425262625251452 is 4th of July and I am present

Step-by-step explanation:

3 cm
8 cm
Find surface area of cylinder

Answers

Answer: [tex]66\pi \text{ cm}^{2[/tex]

Step-by-step explanation:

[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]

WILL MARK YOU IF YOU HELP ME PLEASE!!

Answers

Answer:

84

Step-by-step explanation:

180-72-24

so the answers is 84

Answer:

84

Step-by-step explanation:

In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.

72+24=96

180-96=84

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