Graph the data set.
{(-1, 0.5), (0, 1), (1, 2), (3, 8), 5, 32)}
Which kind of model best describes the data?

a. quadratic
b. exponential
c. linear
d. cubic

Answer:

9*((2-1)/9)

or

2 -1

9

2-9 =-7

9. 9

9× -7

9

=-7

2- 3

9. -3

=(1.22222222222)

or

11/9

or

1*(2/9)

Answer:

-58.41509433

Step-by-step explanation:

0.4+8(5-0.8*5/8)-5/(2.5)=34.4

[0.4+8(5-4/8)-(2)]=

[0.4+8(40-4)/8)-2=34.4 ( nominator)

15-(8.9-2.6/(2/3))*34*2/5 =-53

15-(8.9-3.9)*68/5

15-5*68/5=

15-68=-53 ( denominator)

(34.4/-53) *90

-58.41509433

Answer:

(x + 3)(x + 8)

Step-by-step explanation:

We're looking for two numbers that have a sum of 11 and product of 24; these numbers are 3 and 8 so the factored form is (x + 3)(x + 8).

Answer:

(x + 8)(x + 3)

Step-by-step explanation:

Hey there!

Well in the polynomial,

x^2+11x+24

we need to find out what*what = 24

8*3 = 24

8x + 3x = 11x

x*x = x^2

Factored (x + 8)(x + 3)

Hope this helps :)

Answer:

1/2

Step-by-step explanation:

[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]

sin(pi) = 0

sin(7pi/6) = -1/2

sin(pi/6) = 1/2

sin 3pi/2 = -1

sin pi/2 = 1

sin pi/3 = √3/2

sin 4pi/3 = -√3/2

Answer:

1/2

Step-by-step explanation:

I got it right on the exam.

Answer:

28 or 29

Step-by-step explanation:

8 more than 20 is 28 and it is less than 29

9 more than 20 is 29 and it is  equal to 29

Answer:

[tex]\frac{77\pi }{3}[/tex] cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here diameter = 4 cm , hence r = 4 ÷ 2 = 2 cm

V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8 = [tex]\frac{32\pi }{3}[/tex] cm³

Thus

combined volume = [tex]\frac{32\pi }{3}[/tex] + 15π = [tex]\frac{32\pi }{3}[/tex] + [tex]\frac{45\pi }{3}[/tex] = [tex]\frac{77\pi }{3}[/tex] cm³

Answer:

(6x + 1)^2.

Step-by-step explanation:

1 + 12x + 36x^2

= 36x^2 + 12x + 1

= (6x + 1)(6x + 1)

= (6x + 1)^2.

Hope this helps!

Answer:

[tex](6x+1)^2[/tex]

Step-by-step explanation:

1st 2nd and last

Step-by-step explanation:

simplify your inequality

6x >= 3 + 4(2x -1)

6x >= 3 + 8x - 4

2x >= 1

x >= 1/2

so indeed the

1st one , the 2nd and the last one

first, second, last

Hope it helps

Answer:

77 bags

Step-by-step explanation:

if he brought 49 bags then he brought 28 more bags49+28=77

A function is a relation between sets defined by a formation law. Examples:

[tex]F(x)=0[/tex]

[tex]F(x) =x[/tex]

[tex]F(x) = ax+b[/tex]

Answer:

1/6

Step-by-step explanation:

Each roll is independent.  So the probability of rolling a six is 1/6, regardless of the previous rolls.

Answer:

true

Step-by-step explanation:

because a number is always greater than, equal to, or less than another number

The correct answer should be D.

Answer:

67 units^2

Step-by-step explanation:

The surface area of the prism is found by

SA = 2 ( lw+lh + wh)

     = 2 ( 5*1.5+ 4*1.5 + 5*4)

     = 2 ( 7.5+6+20)

     = 2 (33.5)

    = 67

Answer:

67units²

Step-by-step explanation:

Answer:

30.5 cm

Step-by-step explanation:

0 < h ≤ 10 ⇔ Midpoint = 5

10 < h ≤ 20 ⇔ Midpoint = 15

20 < h ≤ 30 ⇔ Midpoint = 25

30 < h ≤ 40 ⇔ Midpoint = 35

40 < h ≤ 50 ⇔ Midpoint = 45

50 < h ≤ 60 ⇔ Midpoint = 55

⇒ Multiply each corresponding midpoint with it's frequency

(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610

⇒ Divide the total of 610 by the frequencies added together

610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5

Answer:

A

Step-by-step explanation:

Answer:

a)2/5

Step-by-step explanation:

5:2 is correct

5/2 is nothing but 5:2

10:4 is also correct because when we simplify it we get5:2

Answer:

Step-by-step explanation:

Given

Step one:

Company's initial asset value = $11,283,500

Company's final asset value =   $21,794,600

Step two

we can calculate the company's asset appreciation after 10 years as

$21,794,600- $11,283,500= $10,511,100

Step three

Hence, the growth rate of the company's asset value per  year can be expressed as =  $10,511,100/10= $1,051,110

Answer:

(-1, -2)

Step-by-step explanation:

Look up each point in the choices on the graph. If it is on the line or in the shaded area it is a solution.

Answer: (-1, -2)

Answer:

First & Last

Step-by-step explanation:

See what is in the red portion(Shaded or line), that is what can work to the inequality.

(-1, -2) -- In the red(works)

(-1, 2) -- Out of the red(Nope)

(0, 5.2) -- Out of the red(Nope)

(-2, -1) -- In the red(works)

Answer:

shape AREA= 35cm^2

Step-by-step explanation:

you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.

A=h/2(b1 + b2) for trapezoid

A=2/2((4+4)+4)

A=1*12

A=12cm^2

A=bh/2. for TRIANGLE

A=1/2((4+4)*5.75)

A=1/2(46)

A=23cm^2

shape AREA= triangle AREA + trapezoid AREA

shape AREA=12cm^2 + 23cm^2

shape AREA= 35cm^2

Answer:

0.2%=0.200%

756%=756.000%

762%=756.000%

90%=90.000%

( plz mark me as brainliest, that wold be most appreciated! )

Answer:

64.08

Step-by-step explanation:

3^16.90+1*20.50-7.12

Answer:

Both the relations are functions, the correct answer is a.

Step-by-step explanation:

In order to solve this problem we will first find the inverse relation as shown below:

[tex]y = 3x^2 + 5\\x = 3y^2 + 5\\3y^2 = x - 5\\y^2 = \frac{x - 5}{3}\\y = \sqrt{\frac{x - 5}{3}} = \frac{\sqrt{x - 5}}{\sqrt{3}}\\y = \frac{\sqrt{x - 5}\sqrt{3}}{\sqrt{3}\sqrt{3}} = \frac{\sqrt{3x - 15}}{3}[/tex]

Functions are relations between two groups of numbers, for which the input must generate only one output. Using this definition we can classify both the relation and its inverse as a function, therefore the correct answer is a.

Answer:

[tex]y > \frac{2x}{3} + 1[/tex]

Step-by-step explanation:

Given:

The graph in the attachment where the coordinates are (3,3) and (-3,-1)

Required:

Which inequality represent the graph

The first step is to determine the slope of the graph

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where m represents the slope, [tex](x_1, y_1) = (3,3)[/tex] and [tex](x_2, y_2) = (-3,-1)[/tex]

[tex]m = \frac{-1 - 3}{-3 - 3}[/tex]

[tex]m = \frac{-4}{-6}[/tex]

Simplify to lowest term

[tex]m = \frac{2}{3}[/tex]

Next is to determine the equation of the line using the slope formula

[tex]m = \frac{y - y_1}{x - x_1}[/tex], [tex](x_1, y_1) = (3,3)[/tex]  and [tex]m = \frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{y - 3}{x - 3}[/tex]

Cross multiply

[tex]2 * (x - 3) = 3 * (y - 3)[/tex]

Open both brackets

[tex]2 x - 6 = 3y -9[/tex]

Collect like terms

[tex]2 x - 6 +9= 3y[/tex]

[tex]2 x+3= 3y[/tex]

Divide through by 3

[tex]\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}[/tex]

[tex]\frac{2x}{3} + 1 = y[/tex]

Reorder

[tex]y = \frac{2x}{3} + 1[/tex]

Next is to determine the inequality sign

The inequality becomes

[tex]y > \frac{2x}{3} + 1[/tex]

Answer:

12

Step-by-step explanation:

The proper divisors of 12 are

1 2 3 4 6

Add those together you get 16

Answer:

The annual gross income of the server is $52936

Step-by-step explanation:

The server works four 6-hour shift a week.

the server earns $9.75/h

An average seller sells $1400 in a single shift, and makes 14% tip of a bill.

For the 6-hour shift, the server earns

6 x $9.75 = $58.5 a shift

in a week, the total money made for the four shifts in a week will be

4 x $58.5 = $234

The server makes an average of 14% of a bill, and makes about  $1400 in a single shift.

In a single shift he makes a tip of

14% of $1400 = 0.14 x $1400 = $196

in a week he makes 4 x $196 = $784

Total money the server makes in a week is

==> $234 + $784 = $1018

There are 52 weeks in a year.

The server's annual gross income will be

52 x $1018 = $52936

Answer: √3

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)

Replacing with the values given:  

Sin 30 = x /2

Sin 30 (2) = x

x=1

Applying the Pythagorean theorem:

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (2) and a and b are the other sides.  

2^2 = t^2 + 1^2

4= t^2 +1

4-1 = t^2

3 = t^2

√3 = t

Feel free to ask for more if needed or if you did not understand something.  

Hey there! I'm happy to help!

When it says f(1), that simply means to look for the x-coordinate 1 and then see what y-value of the function.

If we go to the x-value of 1 and look up a bit, we see where the function is at 1, it is at the y-value of 1!

Therefore, f(1)=1.

Using this, we can see that f(7) is 5, f(0)=2, etc.

Have a wonderful day!

The discount is 15%, multiply the price y 15%:

5000 x 0.15 = 750

The discount is 750

Answer:

Step-by-step explanation:

The equation of a linear function:

y = mx + b

m - slope

b - y-intercept

x = 3 - it's a vertical line. It's not equation of a linear function

y = 16 - it's a horizontal line. It's an equation of a linear function

where m = 0, b = 16

y = -3x + 10 - it's an equation of a linear function

where m = -3, b = 10

y = 3x² + 1 - it's a quadratic function ( x² ).

Answer:

y = 16 and y = -3x + 10

Step-by-step explanation:

hello