What is the standard form of this function?
f(x) = (x − 2)2 + 6
A. f(x) = -x2 − 8x + 10
B. f(x) = -x2 − 6x + 10
C. f(x) = x2 − 8x + 10
D. f(x) = x2 − 4x + 10

Answers

Answer 1

Answer:

D

Step-by-step explanation:

To find the standard function, open the bracket

f(x) = (x-2)^2 + 6

(x-2)^2 becomes

x(x-2) -2(x-2)

= x^2 -2x -2x + 4

= x^2 -4x + 4

Now add 6 and it becomes x^2 -4x + 4 + 6

= x^2 -4x + 10


Related Questions

2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?​

Answers

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #

Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). x y 1 7 2 5 3 3 4 1 What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?

Answers

Answer:

y=-2x+9

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

Each pendant = 3.60

Step-by-step explanation:

3 necklaces made of beads and pendants

The total is 20.10

20.10 = 3( beads + pendant)

Distribute

20.10 = 3 beads + 3 pendant

The total for the beads is 9.30

Replace the 3 beads  with 9.30

20.10 = 9.30+ 3 pendant

Subtract 9.30 from each side

20.10-9.30 = 9.30+ 3 pendant - 9.30

10.80 = 3 pendant

Divide each side by 3

10.80/3 = 3 pendant/3

3.60 = pendant

Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?

Answers

Answer:

1,1

Step-by-step explanation:

just a guess

The midpoint of the line segment AB is (1, 1).

We have,

To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the given endpoints:

A = (0, 4)

B = (2, -2)

We can substitute these values into the midpoint formula:

M = ((0 + 2) / 2, (4 + (-2)) / 2)

M = (2/2, 2/2)

M = (1, 1)

Therefore,

The midpoint of the line segment AB is (1, 1).

Learn more about midpoints of line segments here:

https://brainly.com/question/13792156

#SPJ2

In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side

Answers

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

Classify the following triangle. Check all that apply.

Answers

Answer:

Right, Scalene (D and E)

Step-by-step explanation:

One side of the triangle contains a right angle, therefore it is a right triangle

the three sides are all different lengths from each other, making it scalene

Answer:

D. Right

E. Scalene

Step-by-step explanation:

Definitions

Acute: A triangle whose angle measure are all acute angles.

Equilateral: A triangle with all the same side lengths and angle measures.

Obtuse:  A triangle with one obtuse angle and two acute angles.

Right: A triangle who has a right angle and two acute angles.

Scalene: A triangle whose sides are all different lengths

Isosceles: A triangle who has 2 sides the same length and the other different.

Our triangle fits the descriptions of the right triangle and scalene triangle.

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?

Answers

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

hope this helps you :)

Answer:

The answer is 102

Step-by-step explanation:

Did it on edg hope this helps :)

16+12x-5x+4y-7 Simply the expression

Answers

Answer:

Combing like terms we get 7x + 4y + 9.

I tried doing it step by step hope it helps.

If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x

Answers

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.


When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.

Answers

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given

Answers

Answer:

1. 5.2 / 2 = 2.6 cm

2. Since 2 angles are congruent the answer is AA.

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square​

Answers

Answer:

1/3(4√2/2- 5)

-1/3(4√2/2 + 5)

Step-by-step explanation:

2(3x+5)² -16=0

2(3x+5)²=16

(3x+5)² = 4²/2

3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)

3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)

Can someone please help me. I need help on the 5 one

Answers

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

Help. Summer school math please.

Answers

Answer:

y = 3x

where y is the plant height in cm and x is the time in months

at 12 months, height would be 36 cm

Step-by-step explanation:

Here, we want to model the data

let’s call the months x and the height y

What do you notice?

we can clearly see that the height is always 3 times the month

3 * 3 = 9

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

so we can say that;

Time in months * 3 = Plant height in cm

using the x and y notation;

x * 3 = y

or simply y = 3x

Now the height at 12 months can be calculated by substituting the value of x for 12

y = 3 * 12 = 36 cm

For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?

Answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

Please help me

What is the sum of the series?
Enter your answer in the box.

Answers

Answer:

the sum of the series is 365 is my answer

If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)

Answers

Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?

Answers

Answer:

She rode 1/10 of an hour more on Saturday

Step-by-step explanation:

Take the time she rode on Sunday and subtract that from Saturday

7/10 - 3/5

Get a common denominator

7/10 - 3/5*2/2

7/10 - 6/10

1/10

She rode 1/10 of an hour more on Saturday

According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.

Will mark brainiest!

Answers

Answer: The answer is D

Step-by-step explanation:

If you read all the answers only D is true

Answer:

Its C. Trust me

Step-by-step explanation:

I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.

match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5

Answers

Answer:

21/25 ---> 84%

13/20 ---> 65%

3/5 ---> 60%

3/4 --->75%

2/5 ---> 40%

What is the sum?4 1/2 + 5 1/2

Answers

Answer:

10

Step-by-step explanation:

plz mark as brainliest

Answer:

10

Step-by-step explanation:


[tex] {x}^{2} - 4x = 21[/tex]
what are the x intercepts?

Answers

Answer:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x( x - 7 ) + 3 ( x - 7 ) = 0

( x + 3 ) ( x - 7 ) = 0

x + 3 = 0 and x - 7 = 0

x = -3 and x = 7

Someone help me please! This needs to be done ASAP!

Answers

Answer:

0.15p+3=9

Lyda ordered 40 photos or p=40

Step-by-step explanation:

The formula for this is:

0.15p+3

Where p is the amount of pictures ordered.

0.15p+3=9

Subtract 3 from both sides

0.15p=6

Divide both sides by 0.15

p=40

Lyda ordered 40 photos

Which operation means "split evenly"?
addition
subtraction
multiplication
division

Answers

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor

Answers

Answer:

477 yards

Step-by-step explanation:

1 foot to a yard is 0.333333.

1431 times 0.333333=477yards

Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living room floor. Which size of rug should she buy? *

Answers

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

I need to know the answer for the picture

Answers

Answer:

a = 2

Step-by-step explanation:

We can use cross products to solve

8         a

----- = -------

28        7

8*7 = 28*a

Divide each side by 28

56/28 = 28a/28

2 =a

Answer:

2

Step-by-step explanation:

Given:  

    8         a

 ------- = ------   Find the value of a that makes this equation true.  

   28        7

  Cross multiplying, we get 28a  =  56, and so a works out to 2.

Check:  Does 8/28 = 2/7?  Yes.

Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction


A.12/36
B.1/36
C.1/12
D.35/36

Answers

Answer:

The answer would be B.(1/36)

AOC is a straight line an dab the ratio of t he angles is: AOB: BOC: =4:11 what is the size of the angle AOB?

Answers

[tex]answer \\48 \\ solution \\ let \: the \: ratios \: of \: angles \: be \: 4x \: and \: 11x \\ 4x + 11x = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 15x = 180 \\ or \: x = \frac{180}{5} \\ x = 12 \\ again \\ < aob = 4x \\ \: \: \: \: \: = 4 \times 12 \\ \: \: \: \: \: \: \: \: \: \: = 48 \\ hope \: it \: helps[/tex]

Answer:

[tex]48 \: \: degrees[/tex]

Answer B is correct

Step-by-step explanation:

We know that,

Angels in a straight line = 180°

Let's get the ratio of angles as,

[tex] 4x: 11x[/tex]

Let's solve for x now.

[tex]4x + 11 = 180 \\ 15 = 180 \\ \frac{15x}{15} = \frac{180}{15} \\ x = 12 \\ [/tex]

Angle AOB = 4x

[tex]x = 12 \\ 4x = 12 \times 4 \\ = 48[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

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