Which is the discriminant of the equation x2 =-- 4x 4?

The probability that each guest of each type m+n will receive a roll is 79.

Given that the breakfast should have consisted of three types of rolls, one each of the nut, cheese and fruit rolls, and the cook should have wrapped each of the nine rolls.

The denominator of m/n equals the total number of possible role configurations assigned to the three people. It [tex]${9 \choose 3}{6 \choose3}$[/tex] is the same as the number of ways to choose three roles out of 9 to give to the first person [tex]${9 \choose 3}$[/tex], and three rolls of 6 [tex]${6 \choose3}$[/tex]. After that, the remaining three roles have no more configurations.

The numerator is the number of ways to assign a roll of each type to each of the three people, which can be done by defining the three types of roles such as flavored x, flavored y and flavored z.

xxx, yyy, zzz

So we have to choose one x, one y and one z to give to the first person. There are 3x, 3y and 3z to choose from, resulting in 3³ combinations. Multiply that by the combinations of xs, ys and zs for the second person, which is clearly 2³ since there are two of each letter left. simplify to our fraction m / n, which is 9/70. If you add them together, you get 9 + 70 = 79.

Thus, the probability that each guest has obtained a roll of each type is m / n, where m and n are relatively prime, so m + n is 79.

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168 is  the largest number of stamps that Jenna could be putting on each page

What is the Greatest Common Factor?

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

So the largest number of stamps that Jenna could be putting on each page

would be gcd of 1008 and 840.

840 = 2 x 2 x 2 x 3 x 5 x 7

1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.

∴ The Gcd = 2 x 2 x 2 x 3 x 7 = 168.

Hence 168 is  the largest number of stamps that Jenna could be putting on each page

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Answer:

1/4

Step-by-step explanation:

I think that you forgot the addition or the subtraction sign between -4x  and 5.  I will assume that it was an addition sign

3(-4x+5) = 12  Multiply everything in the parentheses by 3

-12x + 15 = 12  Subtract 15 from both sides

-12x = -3  Divide both sides by -12

x = -3/-12 = 3/12 =1/4

Now you can equate it with second one to get x

Answer:

Substitute y = 3x + 2 into x² - 3x + 2y = -4

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}x^2-3x+2y=-4\\y=3x+2\end{cases}[/tex]

Since y is already isolated in the second equation, the best first step would be to substitute the second equation into the first equation, then solve for x.

Substitute equation 2 into equation 1:

[tex]\implies x^2-3x+2(3x+2)=-4[/tex]

Expand the brackets and simplify so that the equation equals zero:

[tex]\implies x^2-3x+6x+4=-4[/tex]

[tex]\implies x^2+3x+4+4=0[/tex]

[tex]\implies x^2+3x+8=0[/tex]

Now use the Quadratic Formula to solve for x.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Define the variables:

[tex]\implies a=1, \quad b=3, \quad c=8[/tex]

Substitute the values into the formula and solve for x:

[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(8)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{-23}}{2}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{-1 \cdot 23}}{2}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{-1}\sqrt{23}}{2}[/tex]

Remember that [tex]i^2=-1[/tex]

[tex]\implies x=\dfrac{-3 \pm i\sqrt{23}}{2}[/tex]

Therefore, the solutions to the system of equations are:

[tex]x=\dfrac{-3 + i\sqrt{23}}{2}, \quad \dfrac{-3 - i\sqrt{23}}{2}[/tex]

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Answer:

3rd option

Step-by-step explanation:

y is negative below the x- axis , that is for values of x in the interval

x > - 6 and x < 6

Answer:

[tex]y \geq - 6[/tex]

Step-by-step explanation:

the range is all the y values shown in the graph, so as you can see, the y values are all those greater than or equal to -6

The values which would help complete the table according to the complete part of the task content are as evaluated.

First, the total number of average players can be evaluated by summing up the total number of players vertically as follows;

180 + average + 80 = 600

The number of average players is therefore; 600-180-80 = 340 average players.

Also, the number of female expert players can be evaluated vertically as;

50 + 50 + female expert = 150

Female expert = 150-50-50 = 50 female experts.

The number of male novice players can be evaluated horizontally as;

Male novice + 50 = 180

Male novice = 180 - 50 = 130.

The number of average male players is therefore easily evaluated vertically as;

130 + male average + 30 = 600

male average = 600-130-30 = 440.

Remarks: The table which is required to be completed is that which is in the attached image.

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Answer:

130, 290, 340, 50

Step-by-step explanation:

just do the math, I got it right on edmentum.

Answer:

Step-by-step explanation:

Answer:

the answer you can find onlinde \\\\

Step-by-step explanation:

Answer:

x = -7 and x = 4.

Step-by-step explanation:

f(x) = x^2 + 3x - 28

= (x + 7)(x - 4).

The reciprocal of f(x) can be written as

1 / (x + 7)(x - 4).

When the denominator is zero we have vertical asymptotes

so they are x = -7 and x = 4.

A type of sampling in which individuals to be interviewed are selected based on their proportion or quota in the general population being polled is known as public opinion.

What is sampling type of public opinion ?

A survey that measures the entire target population is called a census. A sample refers to a group or section of a population from which information is to be obtained. Survey samples can be broadly divided into two types: probability samples and super samples.

The collective opinion of large segment of the population on an issue, candidate or public policy on which the public may be much divided and lake a consensus.

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By taking the quotient between the total number of hours and the number of shifts each shift is 1.5 hours long.

We know that Paolo worked (2 + 3/4) hours this week, and that is equivalent to (1 + 5/6) shifts.

To find the number of hours that each shift takes, we need to take the quotient between the total number of hours and the number of shifts:

[tex]\frac{(2 + 3/4)h}{1 + 5/6} = 1.5 h[/tex]

This means that each shift is 1.5 hours long.

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Answer:

The correct answer choice is D

The graph of the rational function is shown below

From the question, we are to graph the given rational function

To determine the graph that corresponds to the given rational function,

First, we will graph the given rational function.

The given rational function is

x²+3x-1/x+1

The graph of the rational function is shown below

Now, we will compare each of the rational graphs in the provided options with the attached graph

The graph that corresponds to the given rational graph in the attachment below is the graph that represents the given rational function.

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The length of JN from the figure is 108

A line is the shortest distance between two points. Given the following parameters

Required

We need the length of JN

JN = JK + KN

JN = 59 + 49

JN = 108

Hence the length of JN from the figure is 108

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During the month of May, there were 130 births, of which the newborn death rate is 38.4615.

According to the question,

There were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths.

In order to find the newborn death rate we have the formula:

=  [tex]\frac{number of death under 28 days of age }{Total live births in the same year}[/tex]  × 1000

= [tex]\frac{5}{130}[/tex] × 1000

=[tex]\frac{5000}{130}[/tex]

=38.4615

Hence, the new born death rate is 38.4615.

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Used formula

Answer:

6x+5

Step-by-step explanation:

the derivative of a sum is equal to the sum of derivatives:

(3x^2 + 5x + 2)' = (3x^2)' + (5x)' + (2)' = 6x + 5

Q.E.D.

The charges of entrance fee for a bus containing 30 people is $98

let

Charges For 2 people = mx + y

14 = 2x + y

Charges For 4 people = mx + y

20 = 4x + y

14 = 2x + y

20 = 4x + y

20 - 14 = 4x - 2x

6 = 2x

x = 6/2

x = 3

Substitute x = 3 into

14 = 2x + y

14 = 2(3) + y

14 = 6 + y

14 - 6 = y

8 = y

Charges For 8 people = mx + y

= 8(3) + 8

= 24 + 8

= $32

Therefore,

Charges For 30 people = mx + y

= 30(3) + y

= 90 + 8

= $98

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Solve:}[/tex]

[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}[/tex]

[tex]\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{45}{20}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{9}{4}}[/tex]

[tex]\mathbf{x \approx 2 \dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Question :

Solution :

>> (5 × 1 + 1 / 5) × (x / 3) = 9 / 10

>> (5 + 1 / 5) × (x / 3) = 9 / 10

>> (6 / 5) × (x / 3) = 9 / 10

>> 6 × x / 5 × 3 = 9 / 10

>> 6x / 15 = 9 / 10

>> 2x / 5 = 9 / 10

>> 2x × 10 = 5 × 9

>> 20x = 45

>> x = 45 / 20

>> x = 9 / 4

Therefore,

The additional set of values which could be included in the table is; (10,2).

As evident in the task content, it follows that for a 15 unit increase in x, depth, there is a 3 unit increase in y, pressure.

On this note, it follows that with each 5 unit increase in x corresponds to 1 unit increase in y.

And ultimately, at x = 10, y = 2 × 1 = 2.

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Answer:

268.08 (268)

Step-by-step explanation:

The volume of a sphere is 4/3*pie*r^3

Let’s start by stating the formula for the area of a rectangle,

A=LW

the letter a represents area, l represents length, and w represents width.

Next let’s substitute known values.

A=x(x+10)

Next let’s use the distributive property

A=(x(x))+(10(x))

Now simplify.

A=x^2 + 10x

So the equation for the area of this rectangle is A=x^2+10x

I believe this is the most simplified answer, please tell me if I am wrong and I will redo my work.

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Prime numbers between 20 - 29 = 23 and 29.

There are 2 prime numbers out of these 10.

Therefore,

P(choose prime number) = [tex]\frac{2}{10} \\=\frac{1}{5}[/tex]

The graph of the circle equation is graph (d)

The equation is given as:

x^2 + y^2 - 4x + 9y -7 = 0

Rewrite as:

x^2 - 4x + y^2 + 9y = 7

Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.

So, we have:

(x - 2)^2 + (y + 3)^2 = 7 + 4 +  20.25

Evaluate the sum

(x - 2)^2 + (y + 3)^2 = 31.25

A circle equation is represented as:

(x - h)^2 + (y - k)^2 = r^2

Where

Center = (h, k)

Radius = r

So, we have:

(h, k) = (2, -3)

r^2 = 31.25

r = 5.5

The circle that has a center of (2, -3) and a radius of 5.5 is graph d

Hence, the graph of the circle equation is graph (d)

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Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

this indicates the sequence is geometric.

the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is

f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

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Answer:c

Step-by-step explanation:

Answer:

Option D is correct

Step-by-step explanation:

there were no corn muffins sold.

Answer:

No corn muffins were sold at the bake sale :)

Step-by-step explanation:

Lets go thru each answer choice to see why it is incorrect/correct :)

A.

A is incorrect because more cookies were sold than muffins! that is why A is incorrect :)

B.

This calls for adding! lets do that now :)

Chocolate chip: 5

Oatmeal: 1

Peanut: 3

6 + 1 + 3 = 10

10 < 11

10 is not greater than 11 so B is incorrect!! :)

C.

We need to add again so lets do that now!

Corn: 0

Muffin: 2

2 + 0 = 2

2 < 3

2 is less than 3 so C is incorrect!! :)

D.

It is true that 0 corn muffins were sold at the bake sale so D is our answer!! :D

Have an amazing day!!

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