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The graph of the quadratic function x^{2} - 4x - 5 = 0 crosses the x-axis at x=-1 and x=5 What are the zeros of this function?

As a reminder, an arithmetic sequence or arithmetic progression (AP) is a progression in which the difference (called the tolerance) between two consecutive terms in the progression is constant.

Therefore, the expression for the nth term is

an = a₁ + (n − 1) d

and in general

an = am + (n - m) d.

where d is the difference.

For an arithmetic series with initial term a₁ and difference between terms of d

an = a₁ + (n − 1) d

We are told

d = -2 and

S8 = 240

So,

a1 = 240 = a1 + ( 30 - 1) * ( -2 ) = a1 - 58

a1 = 240+58 =298

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It should be noted that the seat number is C

Jean received seat number 108.

It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.

Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.

Rose received the.only seat number that is a prime number. This is 53

Therefore, the remaining number is 108.

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Answer:16

Step-by-step explanation:

subtract the old number by the new number

197-181=16

Answer: x=5

Step-by-step explanation:

|x + 2| = 7

|5 + 2| = 7

|7| = 7

|7| = 7

The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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The direction of the net magnetic field is [tex]$167.36^{\circ}$[/tex]

[tex]q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)[/tex]

[tex]$q_2=6 \mathrm{nC}$[/tex] at (0.6,0)

[tex]$r_1=$[/tex]Distance of [tex]$q_1$[/tex] from origin[tex]$=\sqrt{0.6^2+0.8^2}$[/tex]

[tex]$r_2=$[/tex] Distance of [tex]$q_2$[/tex] from origin [tex]$=0.6$[/tex]

[tex]$\mathrm{k}=$[/tex] Coulomb constant[tex]$=9[/tex]times [tex]10^9 \mathrm{Nm}^2 / \mathrm{C}^2$[/tex]

Electric field is given by

[tex]&E_1=\frac{k q_1}{r_1^2} \\[/tex]

[tex]&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\[/tex]

[tex]&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}[/tex]

[tex]&\theta=\tan ^{-1} \frac{0.8}{0.6} \\[/tex]

[tex]&\Rightarrow \theta=53.13^{\circ} \\[/tex]

[tex]&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\[/tex]

[tex]&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}[/tex]

[tex]&E_2=\frac{k q_2}{r_2^2} \\[/tex]

[tex]&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\[/tex]

[tex]&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}[/tex]

The charge [tex]$q_2$[/tex] is on the [tex]$\mathrm{x}$[/tex] axis itself and it is pointing towards the origin (left side) so the sign will be negative

[tex]E_2=-150 \hat{i}[/tex]

Resultant electric field

[tex]&E=E_1+E_2 \\[/tex]

[tex]&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\[/tex]

[tex]&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}[/tex]

Magnitude of electric field is given by

[tex]&|E|=\sqrt{(-128.4)^2+28.8^2} \\[/tex]

[tex]&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}[/tex]

Magnitude of the net electric field is [tex]$121.6 \mathrm{~N} / \mathrm{C}$[/tex]

Direction is given by

[tex]\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}[/tex]

From the -x axis

[tex](90+77.36)^{\circ}=167.36^{\circ}[/tex]

The direction of the net magnetic field is [tex]$167.36^{\circ}$[/tex]

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A new apple orchard is being planted by Aaron's uncle. They plant 12 trees after picking up a truckload of them. They still need to plant 40 trees the following day.

The letter (N) is the symbol used to represent natural numbers. Natural numbers are also known as counting numbers, and they begin with the number 1 and continue to infinity (never ending), which is represented by three dots (...)

900n - 9[tex]n^2[/tex] = A(n) = n(900 - 9n)

For the highest A(n), A'(n) = 0, A'(n) = 900 - 18n = 0, 18n = 900, and n = 900/18 = 50.

50 trees should be planted per acre to produce the most apples possible

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Answer:

15

Step-by-step explanation:

Purdue : IU

   12      :  5

   36     :  x

cross multiply

36*5 = 12x

180 = 12x

180/12 = x

x = 15

Answer:

36/12= 3 so 5*3 would give you 15

The cube of 2.4 is 13.824

A cube can be described as when a number is multiplied three times. This means a product of the same number three times

From the question we are asked to calculate the cube of 2.4

(2.4)³

= 2.4 × 2.4 × 2.4

= 13.824

Hence the cube of 2.4 is 13.824

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Answer:

47, 61, 76

Step-by-step explanation:

1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.

The left over fabric area is; 0.03 m²

Now, if the radius of a circle is r, then the diameter is;

d = 2r

Now, there are 16 identical circles to be cut from a square sheet of fabric whose sides are 0.4 m long.

Thus, the height of the square will be the diameter of four circles.

Height of square = 4(2r) = 8r

Thus;

8r = 0.4

r = 0.4/8

r = 1/20 m

Left over fabric area = (0.4 * 0.4) - (π × (1/20)²)

Left over fabric area = 0.03 m²

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Answer:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:

   8 ⟌ 4 2 4

Step 2:

The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   8 ⟌ 4 2 4

Step 3:

Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

       0    

   8 ⟌ 4 2 4

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   8 ⟌ 4 2 4

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 6:

The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

       4 0  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2  

Step 9:

Move down the last digit of the dividend (4) like this:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 10:

The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 11:

Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

     -   2 4

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 424 divided by 8 calculated using Long Division is:

53

0 Remainder

Step-by-step explanation:

Answer:

11 1/4 + 3 1/2

45/4 + 7/2

(45+14)/4

59/4

14 3/4

Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

A point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)

The inequality expression is given as:

-2x + 3y > 1 - 5x + 6y

Collect the like terms in the above expression

So, we have:

3y - 6y > 1 + 2x - 5x

Evaluate the like terms in the above expression

So, we have:

-3y > 1 - 3x

Divide both sides by -3

y < -1/3 + x

Let x = 0

So, we have

y < -1/3

This means that a point in the solution is

(x, y) = (0, < -1/3)

-2/3 < -1/3

So, we have

(x, y) = (0, -2/3)

Hence, a point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)

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The domain of the function is [2,8] while the range is [6,24].

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given the function,

p(c) = 3c

Now since Marisol can buy at least 2 cupcakes, but no more than 8.

So,

2 ≤ c ≤ 8 will be the domain of the function.

And,

p(2) = 3(2) = 6

p(8) = 3(8) = 24

So the range is 6 ≤ p(c) ≤ 24.

Hence "The domain of the function is [2,8] while the range is [6,24]".

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Answer:

x = 3.2 and No solution.

Step-by-step explanation:

5x - 4 = 12

5x = 12 + 4

5x = 16 (divide both sides by 5 to get x)

5x/5 = 16/5

x = 3.2

–––––––––––––––––––––––––––––

5x-3≥12 AND 12x+5≤-4. Solve it separately.

5x - 4>=12. add 4 on both sides. 5x>=16.

Using the function concept, we have that:

A relation represents a function when each value of the input is mapped to only one value of the output.

For the relations that are not functions, we have that:

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By the given  regression output, 22.5 %  proportion of the variability in revenue can be accounted for by whether the red sox are playing away

the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable,  therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.

So,  the proportion will be =   0.2252 x 100%

= 22.5%

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One year on Venus is 225 days on Earth.

Multiply that by 9 1/2.
The answer you get is 2137.5

9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.

There are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Equivalent to 9 1/2 years on venus.

Let the number of days on earth is x:

One year on Venus is 225 days on Earth.

= (225)(9 1/2)

= (225x19)/2

= 2137.5 days

Thus, there are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

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Answer:

B.

Step-by-step explanation:

B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.

Answer:

√

30

Step-by-step explanation: Simply multiply

√

2

and

√

15

=

√

30

[Caution: If it were -2 and -15, this type of multiplication would not be correct.]

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John drove 235 miles in 5 hours. Then the speed of the John will be

Speed = 235 / 5

Speed = 47 miles per hour

If he continued at that same rate. Then the time to travel 376 miles will be given as,

47 = 376 / Time

Time = 376 / 47

Time = 8 hours

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

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Answer:8

Step-by-step explanation:

Answer: $382.50

Step-by-step explanation:

8.50 x 45 = 382.50

Answer:

the question should have something in between 6 and x

Answer:

65

Step-by-step explanation:

Answer:

6 zebras

Step-by-step explanation:

Answer:

probly   79.5

Step-by-step explanation:

i d k