Consider the equation below. What is the discrimination of the equation?
-3x2+27x-63=0

Step-by-step explanation:

answer is done over here step by step

Answer:

Manny: 37 years old

Jeremey: 35 years old

David: 30 years old

Step-by-step explanation:

First, we must divide 102 by 3, since there are 3 people in this scenario.

102 ÷ 3 = 34

We know that 34 is an estimate of each person's age, but there's still more work to do.

Manny is seven years older than David:

30 + 7 = 37

Jeremey is 2 years younger than Manny:

37 - 2 = 35

37 + 35 + 30 = 102

Hope this helps! :)

Answer:

x = 50

Step-by-step explanation:

these are vertical angles meaning they are congruent so

[2(x+10)] = (3x-30) then use distributive property

(2x+20) = (3x-30) subtract 2x from both sides

20 = x - 30 add 30 to both sides

x = 50

Answer:

x = 50

Step-by-step explanation:

We know that 2(x+10) = (3x-30) because it is on opposite sides of an "x".

We just set them equal to each other and solve for x!

2(x+10) = 3x - 30

2x + 20 = 3x - 30

20 = x - 30

50 = x

Answer:

469

Step-by-step explanation:

plug in values and solve

The compound inequality is represented by –4 ≤ x < 2 ,  Option C is the answer.

An inequality is a statement that consist of expressions equated by constants or other expressions by an inequality operator.

From the line shown below , the compound inequality has to be determined

There is an open dot on + 2 and closed dot on -4

so x  ≥ –4 , x < 2  

and this is represented by –4 ≤ x < 2

Therefore Option C is the answer.

To know more about Inequality

https://brainly.com/question/20383699

#SPJ2

y = mx + b

m = slope or rate of change

b = y-intercept

x = input

y = output

Answer:

x= input

y= output

Step-by-step explanation:

Answer:

15 ounces

Step-by-step explanation:

1/10 of the bucket is 3 ounces and 2/5 is 12 ounces. add those to get 15 and then do 30-15 which is 15

Answer:

nicw

Step-by-step explanation:

150-5=145

Answer:

the last one.

(x^3)^3--3^2

x^6-3^2

x^6-9

(x^3)^3--3^2

Step-by-step explanation:

Answer:

After solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.

Option B is correct.

Step-by-step explanation:

We need to solve [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]

Solving:

[tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]

Cross multiply

[tex](x-2)(x+4)=x*4[/tex]

Multiplying:

[tex]x(x+4)-2(x+4)=4x\\x^2+4x-2x-8=4x\\x^2+2x-8-4x=0\\x^2-2x-8=0[/tex]

Now, we have got quadratic equation [tex]x^2-2x-8=0[/tex]

Solving this quadratic equation using quadratic formula

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

We have a=1, b=-2 and c=-8 Putting values

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-8)}}{2(1)}\\x=\frac{2\pm\sqrt{4+32}}{2}\\x=\frac{2\pm\sqrt{36}}{2}\\x=\frac{2\pm6}{2}\\x=\frac{2+6}{2} \ or \ x=\frac{2-6}{2}\\x=\frac{8}{2} \ or \ x=\frac{-4}{2}\\x=4 \ or \ x=-2[/tex]

So,after solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.

Option B is correct.

Answer:

y=3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5y+ −1/2=7

Step 2: Add 1/2 to both sides.

5y+/−1/2+1/2=7+1/2

5y=15/2

Step 3: Divide both sides by 5.

5y/5

=

15/25

y=3/2

The solution of the given equation is y = 3/2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have given the equation as

⇒ 5y - 1/2 = 7

Add 1/2 to both sides in the above equation.

⇒ 5y - 1/2 + 1/2 = 7 + 1/2

⇒ 5y = 15/2

Divide both sides by 5

⇒ y = 15/10

⇒ y = 3/2

Hence, the solution of the given equation is y = 3/2.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

13.

Quadratic equation

The sum and the product of the roots of the given equation:

New equation is:

===================

14.

Quadratic equation

The sum and the product of the roots of the given equation:

New equation is:

Answer:

Step-by-step explanation:

35000*6.5%= 2275+35000=37275 year one

37275*6.5%=2422.88+37275=39697.88 year two

It comes out to $18200 more or 53,200

Given:

Total debt ratio (total debt to total assets) = 0.365

Total debt = $500,000

To find:

The total assets.

Solution:

We know that,

[tex]\text{Total debt ratio}=\dfrac{\text{Total debt}}{\text{Total assets}}[/tex]

On substituting the given values, we get

[tex]0.365=\dfrac{500,000}{\text{Total assets}}[/tex]

[tex]\text{Total assets}=\dfrac{500,000}{0.365}[/tex]

[tex]\text{Total assets}=1369863.0137[/tex]

Therefore, the value of total assets is $1369863.0137.

Step-by-step explanation:

-2(3x+2)>-8x+6

when eq. is divided by 2,

-3x-2>-4x+3

x >5

The solution set of -2(3x+3)>-8x+6 is {x/x>5}.

Answer:

It will cost $4.25 for 5 liters.

Step-by-step explanation:

$2.55 ÷ 3 = $0.85

$0.85 x 5 = $4.25

Answer:

37.1

Step-by-step explanation:

Hope this is the right answer.

Answer: D) All real numbers greater than or equal to -4.

Explanation:

The lowest point occurs when y = -4, which is where the vertex is located.

The range consists of y values such that y = -4 or y > -4. We can shorten that last sentence to say [tex]y \ge -4[/tex]. So y is greater than or equal to -4.

As you can probably tell, the range is the set of all possible outputs of a function.

Answer:

f-96=124

Step-by-step explanation:

This is the equation of the sentence that has been mentioned.

Answer:

d=24

Step-by-step explanation:

create a common denominator of 12

[tex]\frac{-2}{3}[/tex]d-[tex]\frac{1}{4}[/tex]d=[tex]\frac{-22}{1}[/tex]

[tex]\frac{-2}{3}[/tex]*4     [tex]\frac{1}{4}[/tex]*3     [tex]\frac{-22}{1}[/tex]*12

[tex]\frac{-8}{12}[/tex]d   - [tex]\frac{3}{12}[/tex]d   =    [tex]\frac{-264}{12}[/tex]

[tex]\frac{-11}{12}[/tex]d=[tex]\frac{-264}{12}[/tex]

multiple each side by reciprocal ([tex]\frac{12}{-11}[/tex]) and simplify

d=24

The value of d from the given equation is 24.

The given equation is [tex]-\frac{2}{3}d - \frac{1}{4}d=-22[/tex].

We need to solve the given equation for d.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved for d as follows:

Take LCM of denominators

LCM of denominators 3 and 4 is 12

Now equate denominators to LCM, that is

[tex]d(-\frac{2}{3} - \frac{1}{4})=-22[/tex]

⇒ [tex]d(-\frac{8}{12} - \frac{3}{12})=-22[/tex]

⇒ [tex]d(\frac{-8-3}{12} )=-22[/tex]

⇒ [tex]d(\frac{-11}{12} )=-22[/tex]

⇒ d=24

Therefore, the value of d from the given equation is 24.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

Answer:

M(-1,7), N(3,6), O(1,1)

Step-by-step explanation:

The coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that the coordinates are M(1, 3),N(5, 2), and O(3, −3).

We have to translate 2 units left and 4 units up.

The coordinates obtained after applying the given geometric transformation are M'(-1,7), N'(3,6), O'(1,1)

Thus, the coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

[tex]X=12[/tex]

[tex]Y=8[/tex]

[tex]Z=4[/tex]

Step-by-step explanation:

Comencemos definiendo las variables ⇒

[tex]X:[/tex] '' Número de impresoras Epson ''

[tex]Y:[/tex] '' Número de impresoras Hp ''

[tex]Z:[/tex] '' Número de impresoras Cannon ''

Ahora , dado que tenemos las variables definidas podemos escribir el sistema de ecuaciones lineales

''El número de impresoras Epson y Hp es cinco veces el número de las Cannon''

Para esa oración escribimos la siguiente ecuación :

[tex]X+Y=5Z[/tex] (I) que se puede reescribir como

[tex]X+Y-5Z=0[/tex] (II)

''El número de impresoras Epson es el triple que el de las Cannon''

Para esa oración escribimos la siguiente ecuación :

[tex]X=3Z[/tex] (III) que se puede reescribir como

[tex]X-3Z=0[/tex] (IV)

''El total de impresoras Cannon y Hp asciende a 12''

Para ésta última frase escribimos la última ecuación :

[tex]Y+Z=12[/tex] (V)

Con (II), (IV) y (V) armamos el sistema de ecuaciones lineales :

[tex]X+Y-5Z=0\\X-3Z=0\\Y+Z=12[/tex]

Lo resolvemos a través del método de Gauss insertando el sistema en una matriz y realizando operaciones de fila entre las respectivas filas de la matriz :

[tex]\left[\begin{array}{ccxc}1&1&-5&0\\1&0&-3&0\\0&1&1&12\end{array}\right][/tex]

Realizando operaciones entre filas se lleva a la siguiente matriz equivalente :

[tex]\left[\begin{array}{cccc}1&1&-5&0\\0&-1&2&0\\0&0&3&12\end{array}\right][/tex]    En esta matriz el sistema de ecuaciones asociado es

[tex]X+Y-5Z=0\\-Y+2Z=0\\3Z=12[/tex]

De aquí encontramos que [tex]Z=4[/tex] , [tex]Y=8[/tex] y [tex]X=12[/tex]  (encontramos primero el valor de [tex]Z[/tex] en la última ecuación, de allí reemplazamos en la segunda ecuación para hallar el valor de [tex]Y[/tex]. Finalmente el valor de [tex]X[/tex] se calcula con la primera ecuación)

La solución a éste sistema de ecuaciones es

[tex]X=12[/tex]

[tex]Y=8[/tex]

[tex]Z=4[/tex]

Es recomendable reemplazar éstos valores en el sistema original para verificarlos.

Answer:

angle 6 and angle 2 are corresponding

The whole assignment?

The graph is attached in the figure where the area between the curves has been shaded. As can be seen, the triangle formed is a right triangle whose lengths of its legs is 7. Therefore, its area will be:

[tex]A =\dfrac{7\cdot 7}{2} = \dfrac{49}{2} = 24.5\;u^2[/tex]

Answer:

Step-by-step explanation:

Hi. You need to answer the questions that people have. Just like I'm answering yours, I get some points. This way you get help on your homework and you can help others.

Answer:

C

Step-by-step explanation:

Adding 30and 70 first gives 100.

Answer:

c = 6

a = 14

l = 28

t = 18

Step-by-step explanation:

Free throws are usually worth one point each. We can assign variables and use equations to link information between Adam, Cheryl, Laura, and Tom. Then, we can just substitute in our information and solve.

"Adam scored 8 more points than Cheryl"

a = c + 8

"Laura scored twice as many points as Adam"

l = 2a

"Tom scored 10 points less than Laura"

t = l - 10

"Together the four friends scored a total of 66 points"

a + c + l + t = 66

Now we substitute in our variables and solve from there (see attached image)

c = 6

a = 14

l = 28

t = 18