If the quadratic formula is used to find
the roots of the equation 2x² - 5x - 12
= 0, then what are the correct roots?

Answer:

The 3x + 1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.

the 3X + 1 problem has appeared in various forms. It is one of the most infamous unsolved puzzles in the word. Prizes have been offered for its solution for more than forty years, but no one has completely and successfully solved it

Step-by-step explanation:

The 3x+1 problem concerns an iterated function and the question of whether it always reaches 1 when starting from any positive integer. It is also known as the Collatz problem or the hailstone problem

Answer:

Step-by-step explanation:

3x+1=0 /-1
3x=-1    /:3
x=-1:3

If you mean:
y = 3x+1 or f(x) = 3x+1

Answer:

The ratio between cups of beans and cups of rice is 10/13.

Given the recipe calls for 2 1/2 cup

covert it into proper fraction = 5/2 cups

also the recipe contains 3 1/4 cups of rice.

convert it into proper fraction = 13/4 cups.

now, 5/2 : 13/4

cross multiply.

20/26

simplify the expression.

10/13

Hence the ratio of beans to rice is 10/13.

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Answer:

y=x2+2x-2

Step-by-step explanation:

hope this work have a nice day

Here is the completed table:

Feet 3  6  9  18 21

Yard  1  2   3  6   7

The mathematical operations that would be used to solve this question are multiplication and division. Multiplication is the process that is used to determine the product of two or more numbers. Division is the process of determining the quotient of two or more numbers.

The first step is to determine the unit of conversion of yards to feet and feet to yards.

Unit of conversion of yards to feet = 9 / 3 = 3

Unit of conversion of feet to yards = 3/9 = 1/3

This means that: 1 yard = 3 feet

1 feet = 1/3 yards

3 feet =  3/3 = 1 yard

6 feet = 6 / 3 = 2 yard

6 yard = 6 x 3 = 18 feet

7 yard = 7 x 3 = 21 feet

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Answer:

11x+4

Step-by-step explanation:

To do this, we can substitute 3x+10x for f(x) and 2x-4 for g(x), and we get 13x-(2x-4). By distributing the negative to 2x-4, we just swap the signs, and get 13x-2x+4, which equals 11x+4

Also, is there supposed to be an exponent on the first f(x)? I'm not sure because I haven't seen the real problem.

(Otherwise it would just be f=13x.) Maybe try being a little more clear when asking a question :)

Please let me know if you need more help or explanation on another problem!

Answer: Yes

Step-by-step explanation: 140 is an outlier

The slope of the line for Carlo's plot represents The average change in the number of hot cocoas sold for every additional degree of the day's high temperature.

Information given in the question include

A plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit

The data is plotted as a linear function

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the change of the output values to the input values

This matches with option B

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The equation is solved below.

What is an equation?

A mathematical equation is a calculation that uses the identical sign to represent the equivalency of two variables. The definitions of the word equation and its cognates in various languages might vary slightly. For instance, in French, an equation is defined as having one or more variables, but in English, the equation would be any well-formed solution that comprises two variables linked by the assignment operator. Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unidentified variables are considered as the parameters for which the equation must be calculated, and the unknown perfect blend of shades that fulfill the equivalence are known as the equation's answers. Equations come in two varieties: assumptions and conditioned equations.

Given equation

r=3g + 3w

or, 3g = r - 3w

or, g = (r - 3w)/3

or, g = r/3 - w

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a. The constant of proportionality for the relationship is: k = 8.

b. 0 cups of milk will give 0 grams of protein

c. 2 grams of protein are in 4 cups of milk.

To find the constant of proportionality (k) use any point on the graph, (x, y), and find k = y/x.

a. Using a point on the given graph, (1, 8):

The constant of proportionality, k = y/x = 8/1

The constant of proportionality, k = 8

b. (0, 0), in the situation means that 0 cups of milk will provide 0 grams of protein. This is also the point of origin.

c. In this situation, what the point (4, 32) means is that 32 grams of protein are in 4 cups of milk.

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Answer:

1/3

Step-by-step explanation:

just took the quiz

Answer: Dilation, scale factor of 2.

Step-by-step explanation: The scale factor would be the number we multiply the 4 by 6 rectangle to get the 8 by 12 rectangle print.

Since we start with a rectangle with a length of 6 and a width of 4, and the measurements are changed to 8 and 12, we know the scale factor is 2. The scale factor is two because 4 • 2 is 8, and 6 • 2 is 12. Out of the transformations, (reflection, rotation, translation, dilation) the only one that includes a scale factor would be dilation. We also know it’s a dilation since the print is getting larger, and the pre image and image are not the same.

Answer: yo what?

Step-by-step explanation:

Answer:

(1) x=BC (2) h=A+-πr^2 (3) ef+-ab (4) x=y+-3 (5) x=C+-B

                           2πr              d                                 A

Step-by-step explanation:

See above

Answer:

[tex]\sf x = + \dfrac{5}{3}i ; \ \dfrac{-5}{3}i[/tex]

Step-by-step explanation:

     9x² + 25 = 0

              9x² = -25

                [tex]\sf x^2= \dfrac{-25}{9}\\\\ i^2 = -1 \\\\x^2=\dfrac{25}{9}i^2\\\\x=\sqrt{\dfrac{25}{9}i^2}\\\\[/tex]

                [tex]\sf x = \± \dfrac{5}{3}i[/tex]

Answer:

x = ±(5/3)i

Step-by-step explanation:

- Consider a general quadratic equation ax² + bx + c = 0

- Using the bulldozer method;

[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

- Relating 9x² + 25 = 0

[tex]{ \tt{x = \frac{ - 0 \pm \sqrt{ {0}^{2} - (4 \times 9 \times 25)} }{(2 \times 9)} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 900} }{18} }} \\ \\ { \tt{x = \frac{ \sqrt{ - 1 \times 900} }{18} }}[/tex]

- From complex numbers, -1 = i²

[tex]{ \tt{x = \frac{ \sqrt{ {i}^{2} \times 900} }{18} }} \\ \\ { \tt{x = \frac{30i}{18} }} \\ \\ { \tt{x = \pm \frac{5}{3}i }}[/tex]

Or:

[tex]{ \tt{9 {x}^{2} + 25 = 0 }} \\ { \tt{9 {x}^{2} = - 25}} \\ \\ { \tt{ \sqrt{x}^{2} = \sqrt{ - \frac{25}{9} } }} \\ \\ { \tt{x = \sqrt{ - 1} \times \frac{ \sqrt{25} }{ \sqrt{9} } }} \\ \\ { \tt{x = \sqrt{ {i}^{2} } \times \frac{5}{3} }} \\ \\ { \tt{x = \pm\frac{5}{3} i}}[/tex]

So, the number of students in Band, Art, Music and Journalism are 2n, 7n+6, 4n-2 and 2(4n+6) respectively.

Since the number of students enrolled in Art and Music is equal to the number of students enrolled in Band and Journalism, we have the equation

7n + 6 + (4n-2) = 2n + 2(4n+6).

We now expand the brackets :
7n + 6 + 4n - 2 = 2n + 8n + 12
-> 11n + 4 = 10n + 12
-> 11n + 4 - 10n - 12 = 0
-> n - 8 = 0
-> n = 8.

Therefore, the number of students that enrolled in :
Band : 2n = 16 students.
Art : 7n + 6 = 62 students.
Music : 4n - 2 = 30 students.
Journalism : 8n + 12 = 76 students.

76 = 16 = 62 + 30 = 92, satisfying the requirement.

The x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

The coordinate point is:

(-5, 7)

As we know from the definition of the ordered double:

(x, y) represents the ordered double on the coordinate plane:

x = -5

y = 7

x < 0 and y > 0

The point is located on the Quadrant II

Thus, the x coordinate of the point is -5, the y coordinate point is 7, and the point is located on Quadrant II.

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Let's sketch the graph.

Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.

Given,

a.  Increasing slowly at a constant rate,

b. stagnating, and

c. decreasing rapidly at a constant rate

See the image below which match all the description mentioned in question.

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Answer:

I believe the answer is 10x + 6

Step-by-step explanation:

well we know that the same length and width of a rectangle is twice . this means that you can multiply the length and width by 2 to get the perimeter and add them . so by foiling you will have 2(3x+4) + 2(2x-1). you can solve this and simplify it to get 6x + 8 + 4x - 2 . simplify this more to get 10x + 6.

I'm a little confused because I do not see an answer on your question that says 10x + 6 . can you add a diagram, formatting, or more context if I am wrong?

Answer:

2/5(2t+125)

Step-by-step explanation:

if factorization,then this is the ans

4/5t+150

2/5(2t+125)

Answer:

x = 2

Step-by-step explanation:

assuming you mean

2.5x + 10 = 15 ( subtract 10 from both sides )

2.5x = 5 ( divide both sides by 2.5 )

x = 2

198714 to the nearest ten thousand:

The digit in the ten thousands place is:

Which place is used to decide which way to round the ten thousands place:

The second place from the left

--------------------------------

302895 to the nearest thousand:

7142 to the nearest ten:

24793 to the nearest hundred:

Prove that a || b

What is Angles?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given,

c || d

<1 = <7

We have to prove a || b

∠1 = ∠5         corresponding angles of lines a and b

∠1 = ∠4          are alternate interior angles of lines a and b

∠5 = ∠7         corresponding angles of lines a and b

∠3 = ∠7         corresponding angles of lines a and b

Therefore, a || b by converse corresponding angle theorem

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Answer:

The answer is 26 miles

Step-by-step explanation:

Ever .25 of an inch is 1 mile to multiply 6 by 4 and you'll get 24 and add 2 miles for the .5 .

Answer: $2376

Step-by-step explanation:

First, get the area of the rectangle by using the formula L * W
9 * 12 = 108 feet squared

Now, that you have the area you can multiply that since each square yard is $22 so you do

108 * 22 = 2376

Which is $2376

The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12

The polynomial expression is given as

(2x + 3) (-x + 2y - 4)

Expand the brackets in the above polynomial expression

So, we have

(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)

Open the brackets in the above polynomial expression

So, we have

(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12

Evaluate the like terms in the above polynomial expression

So, we have

(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12

Hence, the solution is -2x² + 4xy - 11x + 6y - 12

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Answer:

Step-by-step explanation:

(a + b)² = 37

a^2 + 2ab + b^2 = 37

---

ab = 5

a = (5/b)

----

a^2 + 2ab + b^2 = 37

(5/b)^2 + 2(5/b)b + b^2 = 37

(25/b^2) + 10 + b^2 = 37

(25/b^2) + b^2 = 27

25 + b^4 = 27b^2

b^4 - 27b^2 + 25 = 0

I don't know how to factor this expression.  The roots seem complex.

Answer:

30/64 inches.

Explanation:

The size of the converted metric part = 0.473 in.

Now, we know that:

Therefore:

Thus, we have that:

To the nearest 64th of an inch, the closest size will be 30/64 inches.

Total area of the region in which the goat can roam is: 6283.2 ft² (nearest tenth)

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

The rectangular house is ABCD.

Given that rectangular house is 30 feet by 40 feet. Therefore, the  goat Cassidy is outside on a 50-foot-long leash that is connected to a corner of my house.

Area of a circle = πr²

where r is the radius.

Therefore, Total area of the region in which the goat can roam is:

Area = 3/4πr² + 1/4πr² +  1/4πr²

Area = 3/4π(50)² + 1/4π(20)² +  1/4π(10)²

Area = 1875π + 100π + 25π

Area = 2000π = 6283.2 ft² (nearest tenth)

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Answer:

(5.5,0)

Step-by-step explanation:

You average the x's and the y's.

x:

[tex]\frac{13-2}{2}[/tex] = [tex]\frac{11}{2}[/tex] = 5.5

y:

[tex]\frac{7-7}{2}[/tex]  = [tex]\frac{0}{2}[/tex] = 0