The piecewise defined function f(x) is graphed below. What is the value of f(2)?

The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Mark this and return

Answer:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation too

Answer:

Whatever he just answered

Step-by-step explanation:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation too

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

Answer:

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

−

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

−

1

)

×

2

=

6

+

2

n

−

2

=

2

n

+

4

Answer:

x= 8/12 or x = 18/12

Step-by-step explanation:

Answer: No

Step-by-step explanation: Because if the team lost 10 yards from 9 1/2 then they would be negative yards if they lose 5 yards they will have 5 1/2 and if they gain 7 yards their total will be 1.5 so they never made it to 10+ yards.

Answer:

the answer is c :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: D) 86 - 18x - 8 = 12x + 18

Answer:

(3*12) 36 Camcorders= $5040

1 Camcorder= $5040/36 = $140

Original= $140/1.03= $135.92

Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

According to the question;

Hence, by testing the coordinates in the equation; y=7x, we have;

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

Read more on solution of an equation;

https://brainly.com/question/1397278

Answer:

x = 17

Step-by-step explanation:

75 = 4x + 7

68 = 4x

x = 17

Answer:

17

Step-by-step explanation:

Set equal to each other

Subtract 7 from 75

Divided the answer (68) by 4

Receive the answer 17

Hope this helps, have a good day.

Answer:

no

Step-by-step explanation:

To determine if x = 7 is a solution.

Substitute x = 7 into the equation and if left side equals right side then it is a solution

3(7) - 4 = 21 - 4 = 17 ≠ 15

Then x = 7 is not a solution to the equation

No, x = 7 is not the solution of Equation 3x - 4 = 15

An Equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an Equation 3x - 4 = 15

Solving x = 7 we get,

3*7 - 4 = 21 - 4 = 17

17 ≠ 15

Hence, x = 7 is not a solution of the given Equation.

For more references on Equation, click;

https://brainly.com/question/10413253

#SPJ2

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

6 * 6

= 36 pieces of pizza

Answer:

The sound of hammering becomes fainter as Nancy goes into her room because some of the sound waves are absorbed by the walls. Only part of the sound waves coming from the other room comes into her room, so the hammering sounds quieter.

I hope this helps. Good luck ^^

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

Answer:

a = 2, b = 1, c = - 15

Step-by-step explanation:

The standard form of a quadratic expression is ax² + bx + c ( a ≠ 0 )

2x² + x - 15 ← is in standard form

with a = 2, b = 1, c = - 15

9514 1404 393

Answer:

  y = 30°

Step-by-step explanation:

Angles x and y are "vertical" angles, so are congruent.

  x = y = 30°

Answer:

x = 5

Step-by-step explanation:

Given

7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side

7 + 6x - 15 = 3x + 7

6x - 8 = 3x + 7 ( subtract 3x from both sides )

3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

Answer:

160 ft^3

Step-by-step explanation:

The volume formula is the same as a rectangular prism, lwh

So if we plug in the numbers, it'd be 12*4*10

Which equals 160 :))

Answer:

160

Step-by-step explanation:

v = L * W * H / 3

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = [tex]\sqrt{3}[/tex] , then

x² + y² = ([tex]\sqrt{3}[/tex] )² , that is

x² + y² = 3

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

Given,

» Perimeter means total length of its boundary.

→ Octagon has 8 sides.

So,

→ Perimeter of Octagon = Length of 8 sides

→ Perimeter of Octagon = 8 ( 2a + 1 ) units

→ Perimeter of Octagon = 16a + 8 units

Therefore,

Step-by-step explanation:

Side of the octagon

An octagon has 8 sides. Each side is 2a + 1 units.

8(2a + 1)

= 16a + 8

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

42yd is your answer

Answer:

area of shaded region =area of (square -circle)

=l²-π(d/2)²

=14²π(14/2)²=196-49π=42.061=42yd