Rewrite the function f (x) =3(x-1)^2-2 in the form f(x) = ax²+bx+c.

Answers

Answer 1

Answer:

3x^2-6x+1

Step-by-step explanation:

According to order of operations, you do exponents before multiplying. So, (x-1)^2=x^2-2x+1, then you multiply it by 3. Lastly, you subtract by 2.


Related Questions

12 The length of each side of regular pentagon
ABCDE is represented by 3x + 1. Which
expression represents the perimeter of the
pentagon?
A. 3x + 5
B. 15x + 1
C. 18x + 6
D. 15x + 5

Answers

Answer:

the answer is number b 15x + 1

A vertical line has a run which is
A. 1
B -1
C. undefined
D. Zero

Answers

Answer:

A. 1 vertical line hasa run which is

Evaluate −6 − (−4). (10 point)
−10
−2
24
2

Answers

Answer: negative 2 (-2)

Step-by-step explanation:-6+4=-2

Answer:

−2

Step-by-step explanation:

−6 − (−4)

= −6 − (−4)

= −6 + 4

= −2


The second one Thank you

Answers

11 days for the second question

What is the measure of the missing angle
in the triangle below?
38
A 58°
B 52°
C 48°
D 42°

Answers

Answer:

B. 52°

Step-by-step explanation:

x + 38 + 90 = 180

x + 128 = 180

x = 180 - 128

x = 52°

Find the area of the shape shown below.
3.5
2
2.
units?

Answers

9514 1404 393

Answer:

  26.75 square units

Step-by-step explanation:

Above the dashed horizontal line(s) is a triangle with base 9 and height 3.5. Its area is ...

  A = (1/2)bh

  A = (1/2)(9)(3.5) = 15.75 . . . . square units

__

Below the dashed horizontal line(s) is a trapezoid with bases 9 and 2, and height 2. Its area is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(9 +2)(2) = 11 . . . . square units

The sum of these areas is the area of the shape:

  total area = 15.75 +11 = 26.75 . . . . square units

The function f(x) = 400 * (1.2) ^ x models a population of mice after x years. What will the population be in 7 years ?

Answers

Answer:

Step-by-step explanation:

400×1.2⁷ ≅ 1433 mice

The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set.
​, ​, ​, ​, ​, ​, ​, ​, ​,

Answers

Yeaaaa .....................

6 Which expression below has a coefficient of 3?
A. 5r?+ 9
B. 2x - 3
C. 2x2 + 3x - 6
D. 3
g++4

Answers

Answer: C.

Step-by-step explanation:

C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)

PLEASE HELP QUICK!!! GIVING BRAINLEST OUT

Answers

Answer:

44

Step-by-step explanation:

Answer:

use the pythagorean theorem to solve for the sides and the degree for both triangles so your using cos sin or tan im not sure which one

Step-by-step explanation:

i really hope this helps the question is really vague im sorry if this wasnt a help

sin(θ) = Opposite / Hypotenuse

cos(θ) = Adjacent / Hypotenuse

tan(θ) = Opposite / Adjacent

14 masons can build 2 houses in 6 months. Find how many houses 21 masons can build in the same duration.

Answers

Answer:

3 houses

Step-by-step explanation:

2 houses = 14 masons

1 house = 14 ÷ 2 = 7

Find out what 21 ÷ 7 is, which is 3.

So 21 masons can build 3 houses in 6 months.

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

-3=x/20 (solve) (math)

Answers

Answer:

x=-60

Step-by-step explanation:

Answer:

x=20+3

=23

x=23

Step-by-step explanation:

when the -3 crosses the equal to sign is changes to positive the rest is self explanatory

Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
an hour. How many hours was the bus worked on?

Answers

Answer:

4 hours

Step-by-step explanation:

72+12x=120 and when you isolate x you get x=4

Can someone help me out

Answers

Answer:

1) -6/-10=3/5

2) -27/10x75/18 = -2025/180 = -135/12 (or) -11 1/4 (or) -11.25

3) 7+8-9=6

4) Billions

5) No, because you can't take a negative number of classes

Step-by-step explanation:

1) -6/-10=3/5

2) -27/10x75/18 = -2025/180 = -135/12 (or) -11 1/4 (or) -11.25

3) 7+8-9=6

4) Billions

5) No, because you can't take a negative number of classes

The sum of two numbers is 54. The smaller number is 14 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

larger number: 34

smaller number: 20

Step-by-step explanation:

54= y+y-14

54= 2y - 14

54+14 = 2y

68 = 2y

68/2 = 2y/2

34 = y, the larger number

y - 14 = 34-14 = 20 the smaller number

Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.

Answers

Answer:

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Step-by-step explanation:

The weights should be within 0.5% of the actual weight measured.

15.0 pounds

0.005*15 = 0.075

Tolerance of 0.075 pounds

15 - 0.075 = 14.925 pounds

15 + 0.075 = 15.075 pounds

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

12(x+1/6)=8 solve for x

Answers

X = 1/2 or X = 0.5.
The value of x is 1/2
Working shown below:

Another word for x-intercepts?

Answers

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Another word for "x-intercepts" is "roots" or "zeros." These terms are commonly used in the context of mathematics, particularly when dealing with functions or equations.

X-intercepts, roots, or zeros of a function are the values of the independent variable (usually denoted as "x") for which the function evaluates to zero.

In other words, they are the points on the graph of the function where it intersects the x-axis, hence the name "x-intercepts."

Mathematically, for a function f(x), the x-intercepts are the solutions to the equation f(x) = 0.

Finding the x-intercepts of a function is essential in graphing, solving equations, and understanding the behavior of the function.

These points represent the locations where the function crosses or touches the x-axis, indicating where the dependent variable (usually denoted as "y") is equal to zero.

Learn more about X-intercepts click;

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pls help
the answer choices for the first one is.. added , subtracted
the second one is.. added , subtracted
the third one is.. added , subtracted

tysm <3 i’ll mark brainliest

Answers

i’m pretty sure it’s added, subtracted, added !

The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?

Answers

Answer: 103/4 or 25.75 cups.

Explanation: We need to find the sum of the two types of apples times the cups of apple sauce one can make with them.

Thus, we have (1/2 cups*17 medium apples)+(3/4 cups*23 large apples)=103/4 or 25.75 cups.

Patrice can make a total amount of 25.75 cups of apple sauce.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Patrice has 17 medium apples and 23 large apples.

Amount of apple sauce form a small apple = 1/3 cup

But Patrice does not have any small apples.

Amount of apple sauce from a medium apple = 1/2 cup

Amount of apple sauce from 17 medium apples = 17 × 1/2 cups

                                                                               = 8.5 cups

Amount of apple sauce from a large apple = 3/4 cup

Amount of apple sauce from 23 large apples = 23 × 3/4 cups

                                                                            = 17.25 cups

Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups

Hence the total amount of apple sauce that Patrice can make is 25.75 cups.

To learn more about Multiplication, click :

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The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease

Answers

Answer:

500$ dollars

Step-by-step explanation:

In AJKL, the measure of ZL=90°, LK = 12, KJ = 37, and JL = 35. What ratio
represents the secant of K?

Answers

Answer:

37/12

Step-by-step explanation:

sec A hyp/adj

For angle K, the adjacent leg is LK. JK is the hypotenuse.

sec K = hyp/adj

sec K = 37/12

2. Three fourth of the students and an additional 18 students at the school purchased a spirit shirt during the last fundraiser. If 336 shirts were ordered, how many students are there in the school?​

Answers

Step-by-step explanation:

The correct answer is 237

Answer:257

Step-by-step explanation:

Dakota has 4/10 kg of clay he divided the clay to make eight equal parts how many grams of clay are in each pot

Answers

Answer:

Dakota must put 50 grams of clay in each pot to be able to divide the clay into 8 equal parts.

Step-by-step explanation:

Given that Dakota has 4/10 kg of clay and I divided the clay to make eight equal pots, to determine how many grams of clay are in each pot the following calculation must be performed:

4/10 kg = 0.4 kg = 400 grams

400/8 = X

50 = X

Thus, Dakota must put 50 grams of clay in each pot to be able to divide the clay into 8 equal parts.

which graph represents exponential decay​

Answers

The top one. Exponential decay means going down very quickly, like a steep line.

Exponential growth is going up, by the way.

7-1 Mathematical Literacy and Vocabulary Dilations

The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.

What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.


Read the problem. What do you need to find to solve the problem?​

Answers

Answer: Coordinates of the vertices of the vertices of the given imagen.

The sum of 3 consecutive even interfere is 258. What is the smallest number

Answers

Answer:

85 is the smallest number

Help its pre-algebra haha help plz

Answers

Answer:

8 ramen bowls

4 pho bowls

Step-by-step explanation:

12-4=8

What is sample mean of 6,7,1,9,2,4,5,5,3,3,7,8

Answers

Answer:5 and 3

Step-by-step explanation: They are tho samples bc they are the ones tht are duplicated (x2)

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