What are the zeroes of f(x) = x2 - 6x + 8?
Ox= -4,2
Ox= -4,-2
O x = 4,2
Ox=4, -2

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

Answer:

90

Step-by-step explanation:

its a right angle

Answer: [-12, 3, 2, -2]

Step-by-step explanation:

Multiply each corresponding integer by each other.

4 * -3 = -12

3 * 1 = 3

-1 * -2 = 2

-1 * 2 = -2

Answer:4.5

Step-by-step explanation:

Answer:

x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)

Step-by-step explanation:

Solve for x over the real numbers:

(x - 12) (x + 4 x) = 9

(x - 12) (x + 4 x) = 5 x (x - 12):

5 x (x - 12) = 9

Divide both sides by 5:

x (x - 12) = 9/5

Expand out terms of the left hand side:

x^2 - 12 x = 9/5

Add 36 to both sides:

x^2 - 12 x + 36 = 189/5

Write the left hand side as a square:

(x - 6)^2 = 189/5

Take the square root of both sides:

x - 6 = 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)

Add 6 to both sides:

x = 6 + 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)

Add 6 to both sides:

Answer: x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

Answer:

Step-by-step explanation:

6 and 7

Answer:

Step-by-step explanation:

even #s between (or including) 1 and 12:

2, 4, 6, 8, 10, 12

there are 6

6/12 for the first one

5/11 for the second one (one even # less)

4/10 for the third one

To find the probability of picking three even numbers from 1 to 12 in a row three times:

multiply the probabilities together:

(6/12)*(5/11)*(4/10)=(24/120)*(5/11)=(12/60)*(5/11)=(1/5)*(5/11)=5/55=1/11

Answer:

ANSWER A

Step-by-step explanation:

Answer:

it has a horizontal asymptote at y=O

Step-by-step explanation:

answer is A.

because A linear parent function is the equation y = x or f(x) = x.

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

Answer:

Step-by-step explanation:

Base of triangle  = length of the rectangle

Since, all are identical rectangles,

Length of a rectangle= 36/2 = 18 cm

Base of triangle = 18 cm

Height of triangle = length of the rectangle + width of the rectangle

Width of 6 rectangles = 36

Width of 1 rectangle = 36/ 6 = 6 cm

Height of the triangle = 18 + 6 =  24 cm

Area of the shaded triangle = [tex]\frac{1}{2}base*height[/tex]

                                              = [tex]\frac{1}{2}*18*24[/tex]

                                              = 9 * 24

                                             = 216 cm²

Answer:

A) 17,000 = 1.7x10^4

B) 26,000,000 = 2.6x10^7

C) 740,000 = 7.4x10^5

Step-by-step explanation:

Answer:

1.7x10

Step-by-step explanation:

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

[tex]mB = mAC / 2[/tex]

[tex]mB = 110 / 2 = 55\°[/tex]

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

[tex]mA + mB + mC = 180[/tex]

[tex]48 + 55 + mC = 180[/tex]

[tex]mC = 180 - 48 - 55[/tex]

[tex]mC = 77\°[/tex]

Using again the property of inscribed angles, we have:

[tex]mAB = 2*mC = 154\°[/tex]

[tex]mBC = 2*mA = 96\°[/tex]

Answer:

Step-by-step explanation:

We khow that Mary invested 12000£ and the account pays 1.5 percent interest per year.

So we should khow what is the value of this 1.5 percent interst .

12000£⇒100 percent

x ⇒ 1.5 percent

so the value after 2 years is : 12000+360=12360

Answer:

56,735 people

Step-by-step explanation:

We can set up an equation to model this:

The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.

We can plug in the corresponding values and solve:

y = 62500(1 - 0.016)^6

y = 62500(0.984)^6

y = (62500)(0.9077)

y = 56,734.94, which we can round to 56,735 people

Answer:

60°

Step-by-step explanation:

30° + 90° = 120°

180° - 120° = 60°

180 is the sum of interior angels

Answer:

Step-by-step explanation:

Hello,

[tex]x^6-6x^3y+9y^2\\\\=(x^3)^2-2\cdot x^3\cdot 3y+(3y)^2\\\\=(x^3-3y)^2[/tex]

So the correct answer is

[tex]x^3-3y[/tex]

Do not hesitate if you have any question

Answer:

The rate of the water current is 4mph

Step-by-step explanation:

Let c= the rate of the current in mph

18+c= the rate of the boat going downstream in mph

18-c= the rate of the boat going upstream in mph

t = time in hrs for both upstream and downstream trips

Going downstream:

33=(18+c)*t (1)

Going upstream

21=(18-c)*t (2)

From (1)

33=(18+c)*t

t=33/1(8+c)

Substitute t=33/(18+c) into (2)

21=(18-c)*t

21=(18-c)*33/(18+c)

Cross product

21(18+c)=33(18-c)

378+21c=594-33c

21c+33c=594-378

54c=216

Divide both sides by 54

54c/54=216/54

c=4

Therefore,

The rate of the water current is 4mph

Answer:

Step-by-step explanation:

From the table above f(-2) = 3

Hope this helps you

Answer:

The answer is given below

Step-by-step explanation:

Let us assume the truck accelerates for 4 seconds.

Given that:

Initial velocity (u) = 0 (starts from rest),

acceleration (a) = 4 m/s²

time (t) = 4 s

Final velocity (v) = ?,

Distance (s) = ?

To calculate the final velocity, we use the formula:

v = u + at

Substituting values gives:

v = 0 + 4(4)

v = 0 + 16

v = 16 m/s

The final velocity is 16 m/s²

To calculate the distance traveled by the truck, we use the equation:

[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]

The distance traveled by the truck during the time interval is 32 meters

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

Answer:

(-1,0)

Step-by-step explanation:

Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P

The section formula is used here and the point we are having would be;

P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)

From the question;

m = 4 and n = 3

x1 = -5, y1 = -8

x2 = 2 , y2 = 6

Plugging these values in the equation above, we have;

P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)

P = (8-15)/7, (24-24)/7

= -7/7, 0/7

= (-1, 0)

The coordinates of point P is (-1,0)

Answer:65.6

Step-by-step explanation:

So $0.25 per yard

16.4/$0.25=65.6

Answer:

Step-by-step explanation:

Given that:

The demand for number 6 screws is fairly constant and  brother's hardware store sells 500 of these screws each day.

So;

The demand for number 6 screws =  500 screws /day

It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.

Delivery time-frame  = 8 days

Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.

i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day

= 4000 screws

This implies that these 4000 screws will only last for 6 days.

Thus Lila ROP ( reorder point) will be to reorder for another set of  screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.

In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:

This implies that these 4000 screws will only last for 6 days.

The exercise statement states that:

With this information we can also say that:

Then, performing the calculation, we find:

[tex] 8 * 500 = 4000 screws[/tex]

See more about finances at brainly.com/question/10024737

Answer:

its c

Step-by-step explanation:

Answer:

The correct locations are;

Part to part ratio is 3 cats to 5 dogs

Whole to part ratio is 10 pets to 2 rabbits

Part to whole ratio is 5 dogs to 10 pets

Step-by-step explanation:

The given information are;

The number of cats Jim has = 3

The number of dogs Jim has = 5

The number of rabbit Jim has = 2

The total number of pets Jim has = 3 + 5 + 2 = 10 pets

Therefore;

The fraction of the pets that are cats = 3/10

The fraction of the pets that are dogs = 5/10

The fraction of the pets that are rabbits= 2/10

Therefore we have;

Part to part ratio = 3/10 cats to 5/10 dogs = 3 cats to 5 dogs

Whole to part ratio → 10 pets to 2 rabbits

Part to whole ratio → 5 dogs to 10 pets.

Answer:

This is an arithmetic sequence with a common difference d of -9

Step-by-step explanation:

When you find out d, you realize the difference between the numbers to be -9. Since it is d and not common ratio r, it is an arithmetic sequence.

Answer:

False

Step-by-step explanation:

A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.

Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.

Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:  x=3

Step-by-step explanation:

5x+9 =24   subtract 9 from both sides

    -9    -9

5x = 15    Divide both sides by 5

x = 3

Answer:

[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]

Answer:

in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Step-by-step explanation:

Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.

For Creamy Vanilla go 2 eggs and 3 cups of cream

For Continental Mocha go 1 egg and 3 cups of cream.

Total number of eggs = 500 eggs

Total number of cream cups = 900 cups.

For the eggs;

2 eggs × x + 1 egg × y = 500

2x + y = 500 .......1

For the cream cups;

3 cups × x + 3 cups × y = 900

3x + 3y = 900

Dividing through by 3

x + y = 300 .......2

Solving the simultaneous equation;

Subtracting equation 2 from 1

(2x + y) - (x+y) = 500-300

2x -x = 200

x = 200

Substituting x = 200 into equation 2;

200 + y = 300

y = 300 - 200

y = 100

Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts