For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

Answer:

14

Step-by-step explanation:

Divide them.

Answer:

12:3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

Answer:

Alternate exterior angles

Answer:

3,186,000,000,000,000

Explanation:

3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000

____________________

People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.

Because 3.186e + 15 may come out as 23.66044590547

Answer:

X=-4

Step-by-step explanation:

the first thing you do is add 1 to both sides to make the variable be alone

-6x=24

now divide 6 on both sides the variable cancels out and your left with 24/-6

so your answer is -4

Answer: 6.1e-17

Step-by-step explanation:

the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.

2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶

First, divide 2.44 by 4, which gives us 0.61.

Next, subtract the exponents by applying the division rule for exponents:

10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴

Therefore, the simplified expression is 0.61 × 10⁻⁴.

To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.

Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.

Learn more about scientific notation here

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Answer:

ASA

Step-by-step explanation:

you can prove it by using ASA (Angle Side Angle)

ASA is a postulate that states if two angles and one side are congruent to another triangle.

hope this helps :)

brainliest?

Answer:asa

Step-by-step explanation:

because it is lol

(2+4i )+(3-6i)

= 2 + 4i+3 -6i

Answer:

5-2i

Step-by-step explanation:

(2+4i)+(3-6i)

2+4i+3-6i

5-2i

Please correct me if I am wrong

Answer:

z

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Because -1 q would make it a positive 1q (q) so q=18

Answer:

Three segments: AB, BC, AC

Step-by-step explanation:

Remember to put the line on top since they’re segments.

Hope this helps!

Answer:

50% profit

Step-by-step explanation:

Cost price = £ 5000

Selling price = £ 7500

Profit  = Selling price - cost price

        = 7500 - 5000

       = £ 2500

Profit percentage = [tex]\frac{2500}{5000}*100[/tex]

                             = 50 %

Answer:

10.6 hours

Step-by-step explanation:

Answer:

the answer is 37.5cm^2

Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

From the given ,question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

The game rules are;

Same number on both dice = +3

Different numbers, with an even sum = +1

An odd sum = -2

After five rounds, score of Chloe = +1

1 = 3 + 1 + (-2) + (-2) + 1

⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.

Complete question is;

Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:

Same number on both dice +3

Different numbers, with an even sum +1

An odd sum -2

In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.

Read more about Dice rolls at; https://brainly.com/question/2140973

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Answer:

-2

-2

-2

-2

-2

The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).

Step-by-step explanation:

Let, price of fudge and gum is x and y respectively.

Converting given statements into mathematical equation.

We get :

5x + 3y = 5.70  ....1)

2x + 10y = 3.60 ....2)

Solving equation 1 and 2, we get :

x = $1.05 .

y = $0.15 .

Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :

P = 20( 1.05 ) + 20( 0.15 )

P = $24

Hence, this is the required solution.

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

Answer:

-132

Step-by-step explanation:

When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.

Answer:

22

Step-by-step explanation:

66 ÷3=22

3= one third

Answer:

y = -5x + 11

Step-by-step explanation:

Slope (m) =

ΔY

ΔX=

-5

1

= -5

θ =  

arctan( ΔY ) + 360°

ΔX

= 281.30993247402°

ΔX = 3 – 1 = 2

ΔY = -4 – 6 = -10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

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4  4  4  4

Answer:

Sorry and where is your questions..

the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.

Step-by-step explanation:

hope this helps, good night!!!!

Answer:

z = 48

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48