What is the vertex of the function f(x)=|x-9|+2

Answers

Answer 1

Answer:

vertex = (9, 2 )

Step-by-step explanation:

given the absolute value function

f(x) = a |x - h | + k

with vertex = (h, k )

then

f(x) = | x - 9 | + 2

has vertex = (9, 2 )


Related Questions

I am a nine digit number. my tens place is 2. ones place is 3 more than tens place . hundreds place is between 7 and 9. ten thousands place is 3 multiplied by tens place . lakhs place is successor of tens place. ten lakhs place is predecessor of hundreds place . crores place is between 8 and 10. ten crores place is 7 more than tens place. what number am i

Answers

Answer:

nmj

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w

w

w

w

w

w

w

w

wej i2v82v2ivw8q

Step-by-step explanation:

h2iwv282vw8wvq

the function f(x)=-3 cos(2x+pi/4) has ___

Answers

The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].

What are domain and range?

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function we can see from the graph of the function will be from  [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and  [ [tex]\dfrac{3\pi}{8}[/tex],3]

The domain of the function will be all the values of the real numbers for the function ranges from  ( 0, ∞ ).

Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].

The complete question is given below:-

what is the domain and range of the function

F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] .

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Find the missing term or terms in each arithmetic sequence.
4) ..., 27,__,__,__, 43, ...

I need help again please!!!!!!

Answers

Answer:

I believe the terms would be 31, 35, 39.

Step-by-step explanation:

We know this because 43-27 is 16. since there are 3 terms missing, we divide the answer by 4, and you get 4. The number you get there is how many you add to each term to get the missing ones. For example, 27+4=31. The pattern is adding 4 to each term. Hope I helped!

I believe yes. of course I believe yes. There is no other way than yes.

What is the answer for the question down below

Answers

Answer:

This is the ray BA

Step-by-step explanation:

Ray can be defined as a part of a line that has a fixed starting point but no end point.

The starting point is B and on its way to infinity, it passes through point A.

Correct sign is

[tex]\huge\boxed{\overrightarrow{BA}}[/tex]

what is the inverse of f(x)=(-2x+2)/(x+7)?

Answers

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

How to find the inverse of a function

In this question we have a rational function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

[tex]x \to y[/tex]

[tex]f(x) \to x[/tex]

[tex]x = \frac{-2\cdot y + 2}{y+7}[/tex]

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

[tex]g(x) = \frac{- 7\cdot x + 2}{x + 2}[/tex]

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

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On Tuesday, a city’s parking meter income is up $311 from Monday’s income, m. So, Tuesday’s income is m + 311


If m is 894, what is m + 311

Answers

Answer: 1205

Step-by-Step Explanation:

=> m + 311; where m = 894

Therefore,
= m + 311
= (894) + 311
=> 1205

The required answer will be 1205.

What is the vertex of the quadratic function below y=-x^-2x-5

Answers

Answer:

(-1, -4)

Step-by-step explanation:

y = -x² - 2x - 5

y = -1(x² + 2x + 5)

y = -1(x² + 2x + 1 - 1 + 5)

y = -1(x² + 2x + 1) - 4

y = -(x + 1)² - 4


What is the distance between the points (4, 5) and (10, 13) on a coordinate
plane?

Answers

Answer:

10

Step-by-step explanation:

square root of 6^2 + 8^2

Please help!!!
Consider the segment UV.
Type the correct answer in each box. Use numerals instead of words.

Answers

the midpoint of segment UV will be (1,5)

find the averages of each x and y coordinate and you have ur midpoint. if you need a better explanation, let me know!

Which equation can be used to solve for x in the following diagram?

Answers

i think 3x+12+x=180
because it is a supplementary angle and those equal 180
the sum of both sides on the straight line make 180

and if you were to solve it
it would be
= 42

Which algebraic expression is a trinomial?

Answers

Answer:

?

Step-by-step explanation:

because there is no picture or option

62 divided by 8,694

Answers

Answer:

50.007131355

Step-by-step explanation:

A calculator lol?

Kate used 555 grams of wool to knit a sweater, hat, and scarf. She used 5 times less grams for the hat than for the sweater. She used 5 more grams for the hat than for the scarf. How many grams of wool did she use to knit for each?
(Give explanation)

Answers

Answer:

Sweater: 392 [tex]\frac{6}{7}[/tex]

Hat: 78[tex]\frac{4}{7}[/tex]

Scarf: 83[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Set the sweater = x

The hat = [tex]\frac{1}{5}[/tex] x

The scarf = [tex]\frac{1}{5}[/tex] x + 5

x + [tex]\frac{1}{5}[/tex] x + [tex]\frac{1}{5}[/tex] x + 5 = 555

Combine like terms

1[tex]\frac{2}{5}[/tex] x + 5 = 555

Subtract 5 from both sides

1[tex]\frac{2}{5}[/tex] x = 550

Divide by 1[tex]\frac{2}{5}[/tex]

x = 392 [tex]\frac{6}{7}[/tex] This is how much wool was used for the sweater.

Divide by 5 to get the hat = 78 [tex]\frac{4}{7}[/tex]

Add 5 to that to get the scarf: 83[tex]\frac{4}{7}[/tex]

!!!HELP!!!
A plane intersects one cone of a double-napped cone such that the plane is parallel to the generating line.
What conic section is formed?
A. hyperbola
B. circle
C. parabola
D. ellipse

Answers

Answer: C. Parabola

Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle . Triangle ABC with right angle marked at vertex B. Side AC, opposite vertex B, is labeled 14. Dashed segment is drawn from vertex B to point D on side AC. Angle BDA is marked right angle. Angles A and C both marked 45 degrees. Segment AD is labeled 7. (dragged tiles) 7(squareroot)3 7(square root) 7. 14. 14(squareroot)3. 14(square root)2

Answers

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14  

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

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Answer:

Step-by-step explanation:

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14  

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

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LK
2(x+2y-x-1⁄2y+3);
When 2(5
4
01x + 2 y +6
Ox+2y+6
07x+8y+6
0176x+4y+3
is simplified, what is the resulting expression?

Answers

2(x+2y-x-1/2y+3)2x+2(2y)-2x-2(1/2y)+2(3)2x-2x+4y-y+63y+6

Which of the following is equivalent to 5√12 - 2√27?

Answers

Answer:

A. 4 root 3

Step-by-step explanation:

4 square root 3 just trust

Please can someone help me on this I’m trying to revise for my test and I don’t understand this question

Answers

Answer:

∠ EAB = 85°

Step-by-step explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

Answer:

first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;

[tex]angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180[/tex]

next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰

Suppose a household’s income increases from $2500 to $3000 and quantity demanded changes from 190 to 150. What is the income elasticity?







a.
0.6


b.
$500


c.
-1.05


d.
2.5

Answers

The income elasticity for the household is -1.05.

What is the income elasticity?

Income elasticity measures how quantity demanded changes when there is a change in the income of a person / household

Income elasticity = percentage change in quantity demanded / percentage change in income

percentage change in income = (3000 / 2500) - 1 = 0.2 = 20% percentage change in quantity demanded =( 150 /190) - 1 = -0.21 = -21%

Income elasticity = -21% / 20 = -1.05

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Help ASAP, really stuck

Answers

The total length of the wire needed to make this shape is 162cm

Perimeter of a triangle

The perimeter of a triangle is the sum of the external side of the triangle.

Given the following parameters

Length of one side of the outside shape = 24cm

The side length of the smaller triangle = 24/4 = 6cm

The perimeter of the smallest triangle  3(6) = 18cm

The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm

Total length of wire needed. = 3(24) + 3(18) + 36

Total length of wire needed = 72 + 54 + 36

Total length of wire needed = 162cm

Hence the total length of the wire needed to make this shape is 162cm

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Someone pls help I don’t really understand graphing

Answers

It’s very simple in every line you need slope and y-intercept so you use,

y=Mx+c (M is slope and c is y-intercept)

First find slope and use any two points on the line I prefer picking (-3,0) and (0,2)
= y2-y1/x2-x1 = 2-0/0-(-3) = 2/3

Y=2/3x+c (now last step we find c by replacing any of the giving points)

2=2/3(0)+c
C= 2

Final answer :

Y=2/3x+2

*HELP**NEEDS IT RIGHT NOW*
Without using a calculator, match each expression to the correct point.

Answers

Answer:

a=-2π

b=-17/3

c=-sqrt18

Step-by-step explanation:

eyeball it.

-2π≈-6.28

-17/3 is less than -5 but more than -6, so it's between those 2

-sqrt 18 is between -sqrt 16 and -sqrt 25, so it's a little less than -4

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

Which statements are true of the solution? Check all that apply.

The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.

Answers

Answer:

  [c] The value of w cannot be a negative number.

  [d] Substitution is used to replace the variable l with a value of 20.

  [e] The subtraction property of equality is used to isolate the term with the variable w.

Step-by-step explanation:

     To figure out which steps of the solution are true, let us solve.

2 l plus 2 w equals 62 -> 2l + 2w = 62

----

2l + 2w = 62

2(20) + 2w = 62  <- Substitution is used to replace the variable l with a value of 20.

40 + 2w = 62

2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.

w = 11

     This means that the value of w is not 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.

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What is the probabily of the 90th percentile given mean of 262 and a standard deviation of 45

Answers

The probability of the 90th percentile given a mean of 262 and a standard deviation of 45 is 319.672

Here,

The formula for the percentile probability is

[tex]P=\mu+z\sigma[/tex]

P=262 + 1.2816(45)

P = 319.672

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What is
-8/15of21/12

Answers

32
——- (after reducing the fraction)
105
Explanation: find reciprocal of divisor:
21/12 : 12/21
Multiply dividend:
8/15 divide21/12=8/15x12/21=
8 x12
———= 96/315
15x21

Determine the measure of each indicated angle.

Answers

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

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A cell phone plan charges $38 a month, and an additional $12 a month for each gb of data used. write an equation for the monthly cost (y) of the cell phone plan in terms of the number of gb of data used (x).

Answers

Answer:

y = 38 + 12x

Step-by-step explanation:

38is fixed cost per month and since the charge is $12 per GB, the variable cost is 12x where x is the GB used

Which of the following statements must be true about parallelogram ABCD? A) angle B+ angle D=180^ B) angle ABC cong angle CDA C) overline AC || overline BD D) overline BC cong overline CD

Answers

Answer: B) ∠ABC = ∠CDA

Detailed Explanation:

In a Parallelogram, Opposite Angles are Equal. Therefore, in this Figure ∠ABC = ∠CDA and ∠BAD = ∠BCD.

Therefore, Option B is True about the Parallelogram ABCD.

You are working in a lab and you need a solution of 22% acid. In the cupboard, you find a 10% and a 30% solution, but not a 22% solution. You will have to make your own 22% solution. You will need liters of the 10% and liters of the 30% to make 15 liters of a 22% solution?

Answers

The volume of 10% solution will be 6 l and 9 litre of the 30 % solution will be taken.

What is Volume ?

Volume is the space occupied by a three dimensional object .

The concentration of solution required is 22% acid

The concentration of solution available is 10% and 30%

The total volume required is 15 liters

The formula for making a mixture is

Concentration = ( m₁x₁ +m₂x₂) / (x₁+x₂)

22 = (10 * x + 30 *(15 -x))/( 15)

10 x + 450 - 30x =330

-20x = -120

x = 6

The volume of 10% solution will be 6 l

and 9 litre of the 30 % solution will be taken.

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What is the value of y?

Enter your answer in the box

Y=_

Answers

Answer:

the angles of a triangle always equal 180 so

34+x-5+4y=180

simplify

29+x+4y=180

-29

x+4y=151

-4y

x=-4y+151

then put this into the original equation

29-4y+151+4y=180

simplify

29+151=180

so this proves that this works

-1/4x-151=y

Hope This Helps!!!

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