Which ones are functions and which ones are NOT functions?

Answer:

(2x - 1)(2x + 1)

Step-by-step explanation:

Difference of Squares: (ax + b)(ax - b) = (ax² - b²)

Answer:

4×^2-1=(2× +1)(2× -1)

Step-by-step explanation:

using a^2 - b^2 =(a+b)(a-b)

Answer:

2.5 times taller

Step-by-step explanation:

6+6=12 3+3=6 12+6=18  so the streetlight is 18 ft

Answer:

she should have to work 35 hours a week

Answer:

The time at which they will all meet at a place together is 350 minutes

Step-by-step explanation:

The time it takes Faiza to cycle the park = 60 seconds

The time it takes Krish to cycle the park = 14 seconds

The time it takes Joe to cycle the park = 25 seconds

Therefore, the time they will all meet at a place together is given by their Lowest Common Multiple as follows;

LCM = 60 × 14 × 25 = 21,000 seconds

Therefore, the time at which they will all meet at a place together in minutes = 21000 seconds/(60)×minute/second = 350 minutes

Answer:

wh

Step-by-step explanation:

Product mean multiply.

w × h = wh

Answer:

(-5,5)

Step-by-step explanation:

It went right one and up four, so it has to do that again.

(-5,5)

To determine the price per unit at which the quantity supplied equals 6 units, we need additional information such as the supply function or the relationship between price and quantity supplied.  The price and quantity relationship in the supply function can vary depending on various factors such as production costs, market conditions, and technology.

Therefore, it is crucial to have more context or data to determine the specific price per unit required for the quantity supplied to be 6 units.  In summary, without the supply function or more information, it is not possible to determine the exact price per unit at which the quantity supplied equals 6 units.

Learn more about the supply function here: brainly.com/question/14580714

#SPJ11

Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

to know more about the combination

https://brainly.com/question/9752548

Answer:

we use BODMAS

-4 x 4 /5÷ 4=-16/5÷4

=-16÷1[tex]1/4[/tex]

=-16 ÷ 5/4

=-16 x 4/5

=-64/5

=12[tex]4/5[/tex]

Step-by-step explanation:

Answer:

(- 1, 0 )

Step-by-step explanation:

For the relation to be a function

Each value of x can only relate to exactly one unique value of f(x).

From the table

- 1 → - 4

Thus - 1 → 0

Means - 1 would map to 2 values of f(x)

This means the relation would no longer be a function.

To orthogonally diagonalize a matrix A, we need to find a matrix P such that [tex]P^TAP[/tex] is a diagonal matrix. In this case, the given matrix A is:

A = [5, 3, -11 ]

      [ 0, 2, 0 ]

      [2, 0, 7   ]

First, we find the eigenvalues λ of the matrix A by solving the characteristic equation det(A - λI) = 0, where I is the identity matrix. The characteristic equation becomes:

det([[5-λ, 3, -11],

       [0, 2-λ, 0],                = 0

       [2, 0, 7-λ]])

Expanding this determinant equation and solving for λ, we find the eigenvalues:

λ_1 = 2

λ_2 = 5

λ_3 = 7

Next, we need to find the eigenvectors corresponding to each eigenvalue. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector. By solving these equations, we obtain the eigenvectors:

For λ_1 = 2, the eigenvector v_1 = [1, 0, -1]

For λ_2 = 5, the eigenvector v_2 = [1, 0, 1]

For λ_3 = 7, the eigenvector v_3 = [11/5, 0, 1]

We normalize these eigenvectors to have unit lengths.

Now, we construct the matrix P using the eigenvectors as its columns:

P = [[1, 1, 11/5]

      [0, 0, 0]

       [-1, 1, 1]]

Finally, we calculate [tex]P^TAP[/tex] to verify that it gives the correct diagonal form. The matrix [tex]P^TAP[/tex] should be a diagonal matrix with the eigenvalues on its diagonal. Evaluating[tex]P^TAP[/tex], we obtain:

[tex]P^TAP[/tex] = [2, 0, 0]

              [0, 5, 0]

              [0, 0, 7]

which confirms that P orthogonally diagonalizes A, and the diagonal entries are indeed the eigenvalues of A.

Learn More About eigenvalues  Here:

https://brainly.com/question/29861415

#SPJ11

Answer:

x=-5, 2, 4, -3

Step-by-step explanation:

Factor and you get:

(x−2)(x+3)(x−4)(x+5)

Answer:  the zeros are x = {-5, -3, 2, 4}

Step-by-step explanation:

x⁴ + 2x³ - 25x² - 26x + 120 = 0

Given: x = 2 and x = 4

Use synthetic division to find the reduced polynomial for x = 2 and then x = 4

2 |  1     2     -25     -26     120    

  |  ↓    2        8     -34     -120

     1    4      -17      -60      0  ← remainder

4 |  1    4      -17      -60

  |  ↓   4      32        60

     1    8      15         0  ←  remainder

      1x² + 8x + 15 = 0

      (x + 5) (x + 3) = 0

      x + 5 = 0    x + 3 = 0

        x = -5            x = -3

The zeros are: x = 2, x = 4, x = -5, and x = -3

Answer:

1130 cars need washed

Step-by-step explanation:

you plus $150 to how $5500 which equals $5650 then you divide $5650 divide $5 which is 1130 cars so to make a profit of $5500 you need to wash 1,130 cars

Answer:

b c e d.

Step-by-step explanation:

because it sounds rights

Answer:

Step-by-step explanation:

2

Answer: the answer is X=-6

Step-by-step explanation:

5x-14=8x+4 - move variable to the left-hand side and change its sign

5x-8x-14=4  - first switch it you are going to have a better understanding

5x-8x= 4=14 move constant to the right-hand side and change its sign

-3x=4+14 collect like term

-3x=18 add the numbers/ then divide both sides of the equation by -3

x=-6

Answer:

$90.00

Step-by-step explanation:

The equation would be 150-3(20), or 150-60, which equals $90.00

Answer:

she will have $90 after 20 days

Step-by-step explanation:

3 times 20 = 60

60-150=90

Answer:

y = 2x - 8

Step-by-step explanation:

marke me brainliest pls ;)

- took this quiz btw !

The volume of the cylinder can be obtained from the calculation as  1356 [tex]cm^3[/tex]

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π[tex]r^2[/tex]h

V = 3.14 *[tex](12/2)^2[/tex] * 12

h = 1356 [tex]cm^3[/tex]

Learn more about volume:https://brainly.com/question/15891031

#SPJ1

Answer:

-10a-15b

Hope this helps!!!!

Answer:

Step-by-step explanation:

[tex] - 5(2a + 3b)[/tex]

Expand : Use -5 to open the bracket

[tex] - 5 \times 2a = - 10a \\ - 5 \times 3b = - 15b \\ \\ - 10a - 15b[/tex]

Answer:

t=13.75

Step-by-step explanation:

Answer:

5/8; swimming

Step-by-step explanation:

1/4=2/8

2/8+1/8=3/8

8/8-3/9=5/8

Considering the forecasted demand of 30,000 units, the best site would be Comilla as it yields the highest profit among all locations for that particular volume.

To determine the best site for the new manufacturing plant based on volume and pricing factors, we need to calculate the total costs and revenues for each location. The location with the highest profit will be considered the best site. Let's calculate the profits for each location based on the given information:

Location: Rajshahi

Fixed cost per year: $30,000

Variable cost per product: $45

Price per product: $150

Forecast demand per year: 20,000

Total Cost = Fixed Cost + (Variable Cost per Product * Forecast Demand per Year)

Total Revenue = Price per Product * Forecast Demand per Year

Profit = Total Revenue - Total Cost

Total Cost = $30,000 + ($45 * 20,000) = $1,050,000

Total Revenue = $150 * 20,000 = $3,000,000

Profit = $3,000,000 - $1,050,000 = $1,950,000

Performing similar calculations for the other locations, we get:

Location: Dhaka

Total Cost = $100,000 + ($75 * 50,000) = $4,850,000

Total Revenue = $120 * 50,000 = $6,000,000

Profit = $6,000,000 - $4,850,000 = $1,150,000

Location: Comilla

Total Cost = $60,000 + ($35 * 30,000) = $1,110,000

Total Revenue = $100 * 30,000 = $3,000,000

Profit = $3,000,000 - $1,110,000 = $1,890,000

Location: Chittagong

Total Cost = $110,000 + ($60 * 40,000) = $2,510,000

Total Revenue = $90 * 40,000 = $3,600,000

Profit = $3,600,000 - $2,510,000 = $1,090,000

Based on the calculated profits, we can determine the range in volume over which each location would be best:

Rajshahi: The best site for a volume range up to 20,000 units.

Dhaka: The best site for a volume range between 20,001 and 50,000 units.

Comilla: The best site for a volume range between 50,001 and 30,000 units.

Chittagong: The best site for a volume range above 30,000 units.

Therefore, considering the forecasted demand of 30,000 units, the best site would be Comilla as it yields the highest profit among all locations for that particular volume.

Learn more about profit from

brainly.com/question/29087694

#SPJ11

Step-by-step explanation:

To solve for x, we can begin by simplifying both sides of the equation:

0.06(10000) + 0.08x = 0.072(10000 + x)

600 + 0.08x = 720 + 0.072x

0.08x - 0.072x = 720 - 600

0.008x = 120

x = 120 / 0.008

x = 15,000

Therefore, the value of x is 15,000.

By applying the difference between two cubes formula, the solutions to the equation (x-1) are x = 1 and the complex solutions obtained from solving x² + x + 1 = 0.

The difference between two cubes formula states that a³ - b³ = (a - b)(a² + ab + b²). In this case, we have (x³ - 1³) = 0. By applying the difference between two cubes formula, we get (x - 1)(x² + x + 1) = 0.

To solve for x, we set each factor equal to zero and solve the resulting equations:

x - 1 = 0, which gives x = 1

x² + x + 1 = 0, which can be solved using the quadratic formula or factoring methods.

The equation x² + x + 1 = 0 represents a quadratic equation, and its solutions can be obtained using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-1 ± √(1 - 4(1)(1))) / (2(1))

Simplifying further:

x = (-1 ± √(-3)) / 2

Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, the only solution to the original equation (x - 1) = 0 is x = 1.

Learn more about discriminant here:

https://brainly.com/question/32434258

#SPJ11

Answer:

Probably y=2x+60

Step-by-step explanation:

It seemed to fit best, dont count on my answer tho, not 100% sure :(

When I put the line through the points, the y intercept was around 50/60 and the slope is positive so it eliminated a few answers. then I chose y=2x+60 since that slope seemed more correct than a slop of 8.

He needs to take the LCM of 15 and 10. ( LCM = 30 )

15 × 2 = 30

10 × 3 = 30

Therefore,

Dan has to buy -

3 packets of sausages

              AND

2 packets of bread rolls

Answer:

Minimum 2 packets of sausage and 3 packets of roll can be bought in same cost.

Step-by-step explanation:

Minimum number of packets of sausages and roll brought which cost same.

Solution:

1) The cost of sausage packets is ₹10.

The cost of roll packets is ₹15.

2) If we want to make the cost of both roll same then we have to take the LCM of 10,15

LCM[10, 15] = 30

3) In ₹30 we can buy 3 packets of sausage and ₹30 we can buy 3 packets of roll.

Answer:

What kind of proof do you need?

M, Q, and N are collinear, with Q between M and N.

Triangle QPM is isosceles (PM=PQ).

That makes PN greater than PQ.

If you need a formal proof, it looks as if you can use trigonometry and the law of sines.

If you need a formal two-column proof using Euclidean geometry, I'm not sure how you would do it....

Step-by-step explanation:

To find the key numbers of the inequality x² - 2x - 24 > 0, we need to determine the values of x that make the inequality true. The key numbers are the points where the expression changes sign. In this case, the key numbers are -4 and 6.

To find the key numbers, we can factor the quadratic expression x² - 2x - 24 > 0. The factored form is (x - 6)(x + 4) > 0. The inequality is satisfied when either both factors are positive or both factors are negative.

Setting each factor equal to zero, we get x - 6 = 0 and x + 4 = 0. Solving these equations, we find that x = 6 and x = -4.

Now, we need to determine the intervals on the number line where the inequality is true. We choose test values from each interval and substitute them into the inequality. For example, testing x = -5 gives (-5 - 6)(-5 + 4) > 0, which is true. Similarly, testing x = 0 gives (0 - 6)(0 + 4) < 0, which is false.

By considering the sign changes, we find that the inequality is true for x < -4 and x > 6. Therefore, the key numbers are -4 and 6, which divide the number line into three intervals: (-∞, -4), (-4, 6), and (6, ∞).

Learn more about  inequality here :

https://brainly.com/question/20383699

#SPJ11