Y=-1|x-2|+1 how to solve

Answers

Answer 1

Answer:

if    x ≥ 2, then y = x - 1

if    x < 2, then y = -x + 3

Step-by-step explanation:

y = 1* |x - 2|  +  1

y = |x-2| + 1

*** The rule on absolute value: |a| =a, if a ≥ 0; |a| = -a, if a < 0

If       x-2 ≥ 0,   then |x-2| = x-2, so y = (x - 2) + 1 = x - 1; y = x - 1

So   if    x ≥ 2, then y = x - 1

If      x-2 < 0,    then |x-2| = -(x-2) = -x + 2, so y =  {-x + 2} + 1 = -x + 3; y = -x + 3

So   if    x < 2, then y = -x + 3


Related Questions

What is the slope of the line X=-3?

Answers

Answer:

undefined

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

If I'm building a dog house that is 3ft by 2ft, and I only want to line the floor with tile, and the tiles are 1.5 square feet each, how many do I need?

Answers

Answer:

4

Step-by-step explanation:

Answer this correctly I’ll give brainalist + 10 points

Answers

Answer:

50

Step-by-step explanation:

please brainalist

Answer:

x= 60

Step-by-step explanation:

brr 180 degrees total, divided by 3x would be 60

so X=60

I think its perpendicular but I want to be sure. Will mark brainliest!

Answers

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer this page: BIG REWARD GRANTED

Answers

Whats the big reward

Answer:

I don't even get what you want us to do

Step-by-step explanation:

what is the answer to 5,082 / 5 =

Answers

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

PLS HELP I ONLY NEED PART B

Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie.
Part A Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.
Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.

Answers

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation: hope this helps!!! :)

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation:

Solve and graph the inequality.

−x4−6≥−8

Answers

Answer:

Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]

Answer:

-4x ≥ 14

x ≥ -3.5

Graphed (numberline):

<-----------3.5---0------------->

could be x

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

Subtract $7 from $29.50

and then divide what you got ($22.50) from $1.50

In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074

Answers

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

difference quotient for f (x) = 2x + 3 /5x

Answers

Answer:

1 and -0.6

Step-by-step explanation:

calculate 30% of 500 kg​

Answers

150 kilograms is your answer
Answer: 150 kg :D

Have a good day :D

Hi. I need help with the following questions. ( These arent multiple choice)

Layout:

1.

2.

3.

Answers

Answer:

The top blank is D. Quadrilateral

The middle blank is B. Parallelogram

The last blank if A. Square

Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z

Answers

Answer:

Area of rectangle = 10 in.²

Area of triangle = 0.5 in.²

Square inches of plastic in bookmark = 9.5 in.²

Step-by-step explanation:

✔️Area of rectangle = Length × Width

Length = 5 in.

Width = 2 in.

Area of rectangle = 5 × 2 = 10 in.²

✔️Area of Triangle = ½*bh

b = 1 in.

h = 1 in.²

Area of triangle = ½*1*1

Area of triangle = 0.5 in.²

✔️Square inches of plastic in bookmark = area of rectangle - area of triangle

= 10 - 0.5 = 9.5 in²

Jennifer is attending a school orchestra concert.She sees her math teacher seated 4.5 meters ahead of her and her science teacher seated 1.1 metes to her right.how far apart are the two teachers?

Answers

Answer:

j

Step-by-step explanation:

jj

A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?

Answers

Answer:

-$0.26 ; $5

Step-by-step explanation:

Given that :

____________ Lose ______ Win

X =$1 _______ - $1 ________ $1

P(X) _______20/ 38 _____ 18/38

Mean, Ux = - $0.05

Standard deviation, σx = $1.00

If the wager is $5 instead of $1

Mean = Σx*p(x)

Mean = (-5 * 20/38) + (5 * 18/38)

Mean = - 2.6315789 + 2.3684210

Mean (μ) = −0.26

Standard deviation :

Sqrt(Σx²p(x) - μ²)

[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)

(13.157894 + 11.842105) - 0.0676

= 24.999999 - 0.0676

= sqrt(24.932399)

= 4.9932353

= 5

what is the shape and direction of f(x)=(x+7)(x+11)

Answers

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion​

Answers

Answer:

D. A positively charged beryllium ion

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion​.

We have to determine, Based on information from the periodic table what does this image represent?

What is the periodic table?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

To learn more about the periodic table visit:

https://brainly.com/question/15987580

#SPJ2


y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6

Answers

Answer:

y=54+7

Step-by-step explanation:

find an equation for the nth term of the sequence -4,-16,-64,-256

Answers

Answer:

this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144

can someone help me with this

Answers

90000
Haha boogaloo booga

2 to the third power minus the quantity of (2x3) +(-4) =
could show the step by step process of working this problem

Answers

2 is the correct answerhdhhd

PLEASE HELP ILL MARK BRAINLY FOR CORRECT ANSWER

Answers

Answer:

120 minutes

Step-by-step explanation:

12 x 10 = 120

10 x 12 = 120

15 x 8 = 120

You will put the muffins in 10 times and you will put the cookies in 12 times then you will put the scones in 8 times. If you have different numbers, you can first start out with one number and times all of the numbers by that one number. For example I picked 5 to start out with:

12 x 5 = 60 minutes 10 x 5 = 50 minutes 15 x 5 = 75 minutes.

Then I did 12 x 6 = 72 minutes, 10 x 6 = 60 minutes, 15 x 6 = 90 minutes

Since I still don't have the numbers to add up to the same answer, I went to timing them by 7:

12 x 7 = 84 minutes, 10 x 7 = 70 minutes, 15 x 7 = 105 minutes

They are still not the same answer so lets try 8:

12 x 8 = 96 minutes, 10 x 8 = 80 minutes, 15 x 8 = 120 minutes.

Since I don't want to go farther than 120 minutes, I will keep trying different numbers for the other ones besides 15.

12 x 9 = 108 minutes, 10 x 9 = 90 minutes

12 x 10 = 120 minutes, 10 x 10 = 100 minutes

Now we will focus on getting 10 to 120 because we got 12 to 120.

10 x 11 = 110 minutes

10 x 12 = 120 minutes

To sum all of this, it took 8 trips to get 15 minutes to 120 minutes, 10 trips to get 12 minutes to 120 minutes, and 12 trips to get 10 minutes to 120 minutes.

One more way to think about this is:

10, 12, and 15 can go into 120 evenly.

[tex]12\sqrt{120} = 10[/tex]

[tex]10\sqrt{120} = 12\\15\sqrt{120} = 8[/tex]

Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm

How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth. ​

Answers

Answer:

0.00421 centimeters.

Step-by-step explanation:

thats ur answer

Answer:

I believe that your answer would be 2.18527315×10^-1

Simplified would be 2.2×10^-1

Step-by-step explanation:

I hope this helps

The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -5°F? Choose all the correct answers

A I -5 -9 I

B I 9 -5 I

C I 9- (-5) I

D I -5 (-9) I

E I -9 - (-5) I

Answers

Answer:

[tex]d = |- 5- 9|[/tex]

Step-by-step explanation:

Given

[tex]Initial = 9^\circ F[/tex]

[tex]Final = -5^\circ F[/tex]

Required

Determine the difference

Represent this with d.

d is calculated using

[tex]d = |Final - Initial|[/tex]

The equation becomes

[tex]d = |- 5- 9|[/tex]

A pet store sold 12 siamese cats. If the ratio of siamese cats to house cats sold was 2 : 1, what is the combined amount of cats sold?

Answers

Answer:

32 cats in total

Step-by-step explanation:

so 18 siamese

the ratio was9:7=siameese:house

18=9 units

divide 9

2=1 unit

house=7 units

7 times 2=14

14 house cats

combined=siameese+house=18+14=32

so 18 siamese
the ratio was9:7=siameese:house
18=9 units
divide 9
2=1 unit
house=7 units
7 times 2=14
14 house cats

combined=siameese+house=18+14=32

Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of attendees.

The equation is d= 16a
​The variable \mathrm{a}a represents the number of attendees, and the variable d represents the cost in dollars.

Find the number of attendees who could be invited if Mason budgets a total of $80 for his party.

Answers

The answer I got was a=5. Hope this is correct and hope it helped

Helpppppppppppppppp

Answers

Answer:

∠QRT = 42°

Step-by-step explanation:

arc QT + 2(∠QPT = 2(42°) = 84°

arc QT = arc TQ

arc TQ = 2(∠QRT)

84° = 2(∠QRT)

∠QRT = 42°

Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x

Answers

Answer: 5.4

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

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