Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship. Identify and interpret the key features of the function in the context of the situation you described in part A.

First I will tell you the formula for this, then I will show how we got the formula, then the answer.

Formula -> (x+a)(x-a)=x^2-a^2

We can find this by expanding the 2 (  )

(x+a)(x-a)=x^2+ax-ax-a^2=x^2-a^2

Now we can use this to solve your problem, the 5 is the a in the formula.

(x+5)(x-5)=x^2-5^2=x^2-25. Therefore choosing the 3rd answer choice.

Answer:

Five domain values of the function f(x) = x² - 1, are; 1, 2, 3, 4, 5

Five range values of the function f(x) = x² - 1, are; 0, 3, 8, 15, 24

Step-by-step explanation:

The values in the domain are the values of the independent or (normally) x-variable

The values i the range are the values obtained by applying the function relationship to the domain as follows;

Let 'f(x)' represent the function that generates the values of the data in the data set,

For f(x) = x² - 1, we have the following table;

[tex]\begin{array}{ccc}x&f(x)\\1&0\\2&3\\3&8\\4&15\\5&24\end{array}[/tex]

Therefore;

The function is f(x) = x² - 1

The five domain values are; 1, 2, 3, 4, 5

The five range values are; 0, 3, 8, 15, 24.

Answer:

Pretty sure it's c)

Answer:

22cm

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Answer:

2s+3b=154

s=2b

solving: s= 44, b= 22

Step-by-step explanation:

s=number of sundaes sold

b=number of banana splits sold

2s+3b=154

s=2b

to solve:

substitute s=2b into the first equation

2(2b)+3b=154

4b+3b=154

7b=154

divide both sides by 7

7b/7=154/7

b=22

s=44

Answer:

the mcps i think

Step-by-step explanation:

Im not sure :/

Answer:

29 words per minute

Step-by-step explanation:

[tex] \frac{145}{5} = 29 \\ \frac{29}{1} = 29[/tex]

Answer:

29 words per minute

Step-by-step explanation:

145/5 = 29 words per minute

Hope that helps!

Answer:

x=0 y=-3

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

3x+y=11

(+)2x-y=-1 (Add so you get rid of the y's)

5x=10

5x/5=10/5

x=2

Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.

The winning time for a race displayed in the table would be:

C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Find the increase in winning time:

Given that,

Year                             Winning Time(seconds)

1                                          27.5

2                                         28.4

3                                         28.7

4                                         29.2

5                                         29.44

Hence, The total change in the time is,

= (0. + 0.3 + 0.5 + 0.24)/4

= 0.485 seconds

Now, If we round off, it becomes 0.5 seconds.

Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.

Thus, ''Option C'' is the correct answer.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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1-2-3-4-5-6-7-8-9-10

0.10)/%

Answer:

x = -2

Step-by-step explanation:

Answer:

- 4 1/6

Step-by-step explanation:

im not sure its right

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

Answer:

Step-by-step explanation:

g(x)=3x−2

g(−2)= 3(-2) - 2 (after substituting -2 for x):  g(-2) = -6 - 2 = -8

g(0)=  3(0) - 2 = -2

g(5)=  3(5) - 2 = 13

Answer:

B

Step-by-step explanation:

7 - a + 3

subtract 7 from both sides.

-a = 3 - 7

add like terms (3 + - 7)

-a = -4

divide both sides by -1. (remember that in front of the a, a 1 is there.)

a = 4

answer: b. 4

Answer:

c is answer plz see the pic it's the solution

[tex]volume = lwh[/tex]

[tex]volume = (80)(40)(100)[/tex]

[tex]volume = 320000 \: {cm}^{3} [/tex]

You need a volume of 320000 cm³ of water to fill the water cooler.

Answer:

57.603

Step-by-step explanation:

We can separate this into two sections, using the and:

Fifty-seven - simply the whole number 57

Six hundred three thousandths - This could be intrepreted as 0.603, which is confirmed through the "3" being in the thousandths place.

Sorry that took so long! I had to think a bit about this one

Answer:

90

Step-by-step explanation:

6^2=36

9*14=126

126-36=90

Answer:

90

Step-by-step explanation:

X ° Y - z2 =

9 x 14 - 6 x 6 =

126 - 6 x 6 =

126 - 36 = 90

Bodmas is used for this equation, the order of the sums that you should do:

1. The sum in the bracket

2. Division

3. Multiplication

4. Addition

5. Subtraction

Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.

Answer:

The answer is letter D

Step-by-step explanation:

Answer:

7x+3x=10x

-6(x-7)= -6x+42

then 10x+12=-6x+42+9x

10x+12=3x+42

10-3=42_12

7x=30

then the correct answer is C

Answer:

11^5

Step-by-step explanation:

11^5 because your multiplying 11 by itself 5 times

Answer:

The sprinkler will cover an area of [tex]50m^2[/tex]

Step-by-step explanation:

Given

[tex]Area = 240m^2[/tex]

[tex]\theta = 75^{\circ}[/tex]

Required

Determine the amount of area it can cover

The amount of area is calculated by calculating the area of a sector using:

[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * \pi r^2[/tex]

Where:

[tex]Area = \pi r^2 = 240m^2[/tex]

So, we have:

[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * 240m^2[/tex]

Substitute 75 for [tex]\theta[/tex]

[tex]Sector\ Area =\frac{75^{\circ}}{360^{\circ}} * 240m^2[/tex]

[tex]Sector\ Area =\frac{75^{\circ}* 240m^2}{360^{\circ}}[/tex]

[tex]Sector\ Area =\frac{75* 240m^2}{360}[/tex]

[tex]Sector\ Area =\frac{18000m^2}{360}[/tex]

[tex]Sector\ Area =\frac{18000}{360} m^2[/tex]

[tex]Sector\ Area =50m^2[/tex]

Hence, the sprinkler will cover an area of [tex]50m^2[/tex]

Answer:

With original price $58.99 and 60% off,

Final price: $23.60

Saved amount: $35.39

Step-by-step explanation:

Answer:

2.36068 inches

Step-by-step explanation:

Let us recall that the area of a square is given by;

A = l^2

This is because, all the sides of a square are equal hence l=b

When A = 5 square inches

5 = l^2

l = √5

l = 2.36068 inches

Answer:

Guess Check

2.2 2.22 = 4.84 (low)

2.23 2.232 = 4.9729 (low)

2.236 2.2362 = 4.999696 (slightly low)

2.23606 2.236062 = 4.9999643236 (slightly low)

2.23607 2.236072 = 5.0000090449 (closest)

Step-by-step explanation:

Answer:

351 is the answer to how much volume a cereal box has

Answer:

352

Step-by-step explanation:

all you do is multiply 9×3×13

Step-by-step explanation:

first, distribute 7 to 6m (this means 7 • 6m)

7 • 6m = 42m

then distribute 7 to 7 (which is 7 • 7)

7 • 7 = 49

your simplified expression is 42m + 49. i hope this helps! have a great day <3