Is this relation a function? Justify your answer. 10 9 8 7 5 3 2 1 1 2 3 4 5 6 7 8 9 10 11 A. Yes, because the number of x-values is the same as the number c y-values. B. No, because two points with the same x-value have different y- values. C. Yes, because every x- and y-value is positive. f se two points with the same vevalue have different x-​

The function of the polynomial graph when factored is (d) \(f(x) = x^3 - 8x^2+ 21x - 18\)

From the question (see attachment), we have the following highlights:

This means that:

So, the function of the graph is:

\(f(x) = (x - 2)(x - 3)^2\)

Expand the exponent

\(f(x) = (x - 2)(x^2 - 6x + 9)\)

Expand

\(f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18\)

Collect like terms

\(f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18\)

\(f(x) = x^3 - 8x^2+ 21x - 18\)

Hence, the function of the graph is (d)

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Answer:

-20 < 4 - 2x (subtract 4 from both sides)

-24 < -2x (divide each side by -2)

12> x  (when you divide by a negative number, the inequality flips)

x< 12 ( I always put it so x is first)

so the answer is C

Answer:

25 minutes

Explanation:

Subtract the two times to find the duration.

The height of the sunflower after 10 weeks will be 40 inches.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that when it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week.

The height of the sunflower will be calculated as:-

Height = 2.5 x 10 + 15

Height  = 25 + 15

Height = 40 inches

Therefore, the height of the sunflower after 10 weeks will be 40 inches.

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If Danielle sold $4500 in electronics merchandise last week then she earn a total of $1073.75 .

In the question ,

it is given that

Commission of Danielle on everything she sells at electronic store = 7.75%

Base salary of Danielle = $725

amount of electronics merchandise sold by Danielle last week = $4500

So according to question

money earn = base salary + 7.75% of 4500

substituting the value of base salary as $725

= 725 + 0.0775*4500

= 725 + 348.75

= 1073.75

So, Danielle earns $1073.75 .

Therefore , If Danielle sold $4500 in electronics merchandise last week then she earn a total of $1073.75 .

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The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

We have,

We need to calculate the initial discount given by the 23% off sale:

Discount

= 0.23 x $425

= $97.75

After the first discount, the mower's price is:

New price

= $425 - $97.75

= $327.25

Then, the store manager discounted it by another $10, so the final price is:

Final price

= $327.25 - $10

= $317.25

The total decrease in price is:

= $425 - $317.25

= $107.75

The percent decrease in the mower's price is:

Percent decrease

= (107.75 / 425) x 100%

= 25.3%

Therefore,

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

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Answer:

B=28

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plants can cause both mechanical and chemical weathering. They cause mechanical weathering by their roots which grow inside rock cracks where soil has collected and eventually crack them. This can also happen in streets or sidewalks.

They cause chemical weathering with their roots, which release acid or other chemicals, onto rocks, which then forms cracks, and breaks apart.

Plants may decrease chemical weathering by binding secondary products and isolating unweathered minerals from meteoric water.

The formation of a forest or a stand of trees in an area where there was previously no tree cover is known as afforestation.

Many government and non-governmental groups are directly involved in afforestation efforts to establish forests and boost carbon sequestration.

Plants can weather both mechanically and chemically. Their roots, which grow inside rock fractures where dirt has accumulated and eventually crack them, produce mechanical weathering. This can also happen on the pavements or on the highways.

Their branches promote melting by releasing acid or other compounds onto rocks, causing fissures and breaking apart.  By binding secondary products and separating uncut diamond minerals from meteoric water, plants can reduce chemical weathering.

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The shortest height of the box that will hold the map is 6 ft option (C) is correct.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Dina is shipping a wall map to a collector. When the map is rolled up, it measures.

From the figure we can apply the Pythagoras theorem to find the length BA:

BA² = 3² + 3²

BA = √18

Again applying Pythagoras theorem:

The height

AD² = 7² - (√18)²

AD² = 31

AD = √31 ft = 5.56 ft ≈ 6 ft

Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.

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Answer:

first one

Step-by-step explanation:

the sum of (9k-4) =3542

so it will be the first one because

28((5+248)/2)=3542

Answer:

a

Step-by-step explanation:

cuz i milk da cows homie, all fo my edge brothas, no cap on jaw, j keepin it real fo yall homies

The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.

In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.

On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.

Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.

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These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

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Answer:

-3/5

Step-by-step explanation:

Answer:

here you go hope this helps

Answer:

The number of gallons in the tank after one hour.

Step-by-step explanation:

g=6.5-0.4(1)=6.1

The percentage who work nights are working weekends is 82.5%

From the question, we have the following parameters that can be used in our computation:

Nighr and weekend = 52%

Night = 63%

Using the above as a guide, we have the following:

Night wokers on weekend = 52%/63%

Evaluate

Night wokers on weekend = 82.5%

Hence, the percentage who work nights are working weekends is 82.5%

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Answer:

m<PXQ Is Acute

m<QXN is Obtuse

Step-by-step explanation:

Acute Angles are lsss than 90⁰

Obtuse Angles are greater than 90⁰

Right angles are exactly 90⁰

Answer:

$3692

Step-by-step explanation:

100-21=79

=> 0.79

12000 × 0.79^5 = $3692

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic

Step-by-step explanation:

The solution of a quadratic equation once it has been graphed is indicated by the x-intercept(s) of the parabola. Option C is correct.

The solution of a quadratic equation once it has been graphed is indicated by the x-intercept(s) of the parabola. Therefore, the correct option is c. x-intercept(s). The x-intercept(s) are the points where the parabola intersects the x-axis and represents the values of x that make the quadratic equation true. If the equation has two real solutions, they will be the x-coordinates of the two x-intercepts.

Options a, b, and d are related to the properties of the parabola itself and are useful for understanding its shape and behavior, but they do not directly provide information about the solutions of the quadratic equation. The vertex, option a, is the highest or lowest point on the parabola, the y-intercept(s), option b, is the point(s) where the parabola intersects the y-axis, and the axis of symmetry, option d, is a vertical line that divides the parabola into two symmetrical halves.

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Answer:

512

Step-by-step explanation:i think so

Answer:

The second one

Step-by-step explanation:

I got it right

Answer:

Everything in red works

Step-by-step explanation:

Answer:

(0,0)

(1,3)

(2,6)

(3,9)

(-1,-3)

(-2,-6)

(-3,-9)

Step-by-step explanation:

The equation of the graph is y=3x

The solution of the equation y = - 7x + 1 are,

⇒ (6, - 41) and (- 8, 57)

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

Given that;

The equation is,

⇒ y = - 7x + 1

Hence, Substitute the given points into equation and check the solution as;

Put (x, y) = (- 6, - 35)

⇒ y = - 7x + 1

⇒ - 35 = - 7 × - 6 + 1

⇒ - 35 ≠ 43

Thus, It is not the solution.

Put (x, y) = (4, 27)

⇒ y = - 7x + 1

⇒ 27 = - 7 × 4 + 1

⇒ 27 ≠ - 27

Thus, It is not the solution.

Put (x, y) = (6, - 41)

⇒ y = - 7x + 1

⇒ - 41 = - 7 × 6 + 1

⇒ - 41 = - 41

Thus, It is the solution.

Put (x, y) = (- 8, 57)

⇒ y = - 7x + 1

⇒ 57 = - 7 × - 8 + 1

⇒ 57 = 57

Thus, It is the solution.

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Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Answer:

13.5 pounds.

Step-by-step explanation:

9.18 divided by .68

= 13.5

Answer:

13.5

$0.68 times 13.5 = $9.18

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

the first one is correct

2) 0.805

3)0.25675

4)234.5

5)190.5

6)1.884666667

7)59.375

Step-by-step explanation:

Answer:

2) 0.805

3)0.25675

4)234.5

5)190.5

6)1.884666667

7)59.375

Step-by-step explanation:

Answer:

x=-27

Step-by-step explanation:

27+4x=3x

So 27=-x

x=-27