What is the range of the graphed function?


{x |-2 < x < 2}

{y |-2 < y < 2}

{x | x is a real number}

{y | y is a real number}

Answer:

Here is the ans...hope it helps:)

Answer:

x=5

Step-by-step explanation:

Subtract

2

x

from both sides of the equation.

24

−

3

x

−

2

x

=

−

1

Subtract

2

x

from

−

3

x

.

24

−

5

x

=

−

1

Move all terms not containing

x

to the right side of the equation.

Subtract

24

from both sides of the equation.

−

5

x

=

−

1

−

24

Subtract

24

from

−

1

.

−

5

x

=

−

25

Divide each term in

−

5

x

=

−

25

by

−

5

and simplify.

Divide each term in

−

5

x

=

−

25

by

−

5

.

−

5

x

−

5

=

−

25

−

5

Simplify the left side.

Cancel the common factor of

−

5

.

Cancel the common factor.

−

5

x

−

5

=

−

25

−

5

Divide

x

by

1

.

x

=

−

25

−

5

Simplify the right side.

Divide

−

25

by

−

5

.

x

=

5

Answer:

5

Step-by-step explanation:

1) 24 - 3x = 2x - 1   Normal equation

2) 24 - 5x = -1         Subtracted  2x from the side

3) -5x = -25    Subtracted 24 from side

4) x = 5     Divided

Answer:

  c)  105.5 square units

Step-by-step explanation:

The area of a rhombus can be computed as half the product of the diagonal lengths.

__

Half the diagonal BD will be one leg of the right triangle formed by the diagonals and the sides of the rhombus. The length of that leg is found using the Pythagorean theorem:

  a² +b² = c²

  11² +b² = 12²

  b² = 144 -121 = 23

  b = √23 ≈ 4.796

This value is half the length of diagonal BD, so multiplying it by the length of diagonal AC will give the area of the rhombus.

  Area = 1/2(AC)(BD) = (22)(4.796) ≈ 105.5 . . . . square units

Answer:

aₙ = 3n - 5

5th term = a₅ = 3.5 - 5 = 15 - 5 = 10

Answer:

Step-by-step explanation:

aₙ = 3n - 5

Put n = 5:

a₅ = 3 · 5 - 5

a₅ = 15 - 5

a₅ = 10

Answer:16X + 24 D

Step-by-step explanation:

Length of rectangle = 3(2X + 3) = 6X +9

Width = 2X + 3

Perimeter = 2(Lengtb + Breadth)

= 2(6X +9) + 2(2X +3)

Answer:

8

Step-by-step explanation:

I hope this helps! If it does, please click "Thanks" to help me out!

Answer:

TS = 8 units

Step-by-step explanation:

see image.

Write a proportion. Crossmultiply and solve.

Answer:

The answer is 1/10

Step-by-step explanation:

3+2=5+5=10 outcomes so 1/10

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

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Answer:

The answer is A

Step-by-step explanation:

because the angle in the circle is a central angle the angle is the same value as the arc.
Hope this helps!!

Answer:

5, 8, 12

Step-by-step explanation:

l ]

l ] 8

l. ]

5 l

l________________]

12

Answer: X should just equal 1 therefore the area of the triangle is 16

Step-by-step explanation:

4(1) * 4= 16

3(1)+1= 4 ^^^

Answer: $184

Step-by-step explanation:

Step (1)- 1/3 of 120= $40

Step (2)= 3/5 of 40= $24

Step (3)- 40+24+120= $184 (ToTaL)

Hope this helpss!

Given the volume of the space in the pot and the volume of the meatballs, the sauce will not spill over.

The first step is to determine the volume of the remaining space that the sauce is yet to fill. A pot usually has the shape of a cylinder, so the formula for the volume of a cylinder would be used.

Volume of a cylinder = πr²h

π x (14/2)³ x 2 = 98 in³

The second step is to determine the volume of the two dozen meatballs.

Volume of a sphere = 4/3πr³

24 x (4/3 x π x (2/2)³) = 32π in³

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The sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.

The volume of sauce in the pot is calculated as follows;

V = πr²h

V = π x (7)² x (2)

V = 98π in³

Area of 1 meatball = πr² = π x (1)² = π in²

Area of the 2 dozen = (2 x 12) x A

                                       = 24 x π in² = 24π in²

the height of each meatball = 2 in,

Volume of the 2 dozens = 2 in x 24π in² = 48π in³

Total volume of the meatball and sauce in the pot = 98π + 48π = 146π in³

Thus, the sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.

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Answer:

its 698...............................

Answer: -15y

Step-by-step explanation:

6(x-2y) - 3(2x+y)

6x-12y -6x-3y

0x -15y

-15y

Answer:

-15y

Step-by-step explanation:

6(x-2y) - 3(2x+y)

6x-12y -6x-3y

0x -15y

-15y

Answer:

answer-3.4

Step-by-step explanation:

2022 edge

Answer:

Domain: input values (x-values)

Range: output values (y-values)

Increasing function:  the average rate of change is positive

Decreasing function: the average rate of change is negative

Constant function: y-values do not vary, regardless of x-values

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range:  [-2, 2]

Increasing function: (-2, 0)

Decreasing function:  (0, 3)

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range: [-2.5, 2]

Increasing function: (-2, -1) ∪ (1.5, 3)

Decreasing function:  (-1, 1.5)

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range: [-1, 2]

Increasing function: (-2, -1)

Constant: (-1, 1)

Decreasing function:  (1, 3)

Answer:

By multiplying the term by itself (x+1)(x+1)

Some people like to use the box technique, which formats like this:

    x      +     1

x   x^2        1x

+  

1    1x           1

The terms multiply in columns, and then add all together

So

x^2 + 1x + 1x + 1 can be simplified to x^2+2x+1 = 0, which is the perfect square of (x+1)^2 = 0

Step-by-step explanation:

The answer is B which is 1518.75

Answer:

[tex]a=12[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

In this case, a = 9, b = a, and c = 15.

[tex]9^{2}+a^{2}=15^{2}[/tex]

[tex]81+a^{2}=225[/tex]

The, we subtract 81 from both sides getting:

[tex]a^{2}=144[/tex],

Then, [tex]a=12[/tex]

Answer: $66.33

Step-by-step explanation: Since Leo buys 9 pounds of each candy, multiply $5.28 x 9 and $2.09 x 9.

$5.28 x 9 is $47.52.

$2.09 x 9 is $18.81.

Add $47.52 and $18.81.

Total is  $66.33

Answer:

yes, all answers are correct

Step-by-step explanation:

Answer: Choice B

The initial amount in the account.

==================================================

Reason:

x is the number of years

x = 0 is the starting point. Let's plug that in to find...

[tex]y = 982(1.07)^x\\\\y = 982(1.07)^0\\\\y = 982(1)\\\\y = 982\\\\[/tex]

At the start, Sammy has $982 in the bank.

Side note: The 1.07 means the account is growing by 7% each year.

Answer:

the splasher pool holds 133%.

Step-by-step explanation:

sponsored / paddler equals 144 pi over 108 pi equals 1.3 * 100 = 133%

[tex]\text{If there are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)[/tex]

Check the picture below.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) ~\hfill AB=\sqrt{[ -1- (-5)]^2 + [ 6- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ B(\stackrel{x_1}{-1}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill BC=\sqrt{[ 3- (-1)]^2 + [ 2- 6]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}[/tex]

[tex]C(\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill CD=\sqrt{[ -1- 3]^2 + [ -2- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-5}~,~\stackrel{y_2}{2}) ~\hfill DA=\sqrt{[ -5- (-1)]^2 + [ 2- (-2)]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}[/tex]

[tex]~\dotfill\\\\ \sqrt{32}\implies \sqrt{16\cdot 2}\implies \sqrt{4^2\cdot 2}\implies 4\sqrt{2}\implies \stackrel{\textit{four times that much}}{4(4\sqrt{2})\implies \blacksquare~~ 16\sqrt{2} ~~\blacksquare}[/tex]

It's a rhoumbus as AC and BD both diagonals are perpendicular to each other .

Find one side

AD

So

Perimeter

The length of an arc with central angle of 45 degrees and radius of 8 inches is 6.3 inches.

length of an arc = ∅ / 360 × 2πr

where

Hence,

r = 8 inches

∅ = 45 degrees

Therefore,

length of an arc = 45 / 360 × 2 × 3.14 × 8

length of an arc = 2260.8 / 360

length of an arc = 6.28 inches

length of an arc = 6.3 inches

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Answer:

b

Step-by-step explanation:

Answer:

x=2, y=-4

Step-by-step explanation:

If you put a vertical or horizontal line straight through the shape and it looks the same, then it is symmetrical. You can put a symmetrical line both vertically AND horizontally. To do this, you just need a line going through the points at the tips and the points at the sides of the quadrilateral. A line that is vertical will be an x=, because it only covers one x-value. So, the line for x will be x=2, because it goes through both tips of the quadrilateral. A horizontal line will be y= because it only covers one y-value. So, the line for the horizontal line will by y=-4, because this goes through both sides of the quadrilateral.

Hope this helps!