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shepuryov [24]
4 years ago
14

Fine the solution set 6x^2+x-1=0 separate the two values with a comma

Mathematics
1 answer:
Ksenya-84 [330]4 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

6x² + x - 1 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 1 = - 6 and sum = + 1

The factors are + 3 and - 2

Use these factors to split the x- term

6x² + 3x - 2x - 1 = 0 ( factor the first/second and third/fourth terms )

3x(2x + 1) - 1(2x + 1) = 0 ← factor out (2x + 1) from each term

(2x + 1)(3x - 1) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = \frac{1}{3}

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Help me with number 10 pleaseeeeeeeeee
valina [46]

Answer:

4' - 9.64

Step-by-step explanation:

Total rise = 2' - 7"

Total run = 3' - 9"

Converting to inches :

1' = 12" ; 1 feet = 12 inches

2' = 2 * 12 = 24"

3' = 3 * 12 = 36"

Total rise = 24" + 7" = 31"

Total run = 36" + 9" = 45"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(31² + 45²)

Hypotenus = 54.644304"

= 4' - 9.64"

6 0
3 years ago
Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

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

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

4 0
4 years ago
Se vende2 usb en 60 soles cada uno. En una se ganó el 20% y en la otra se perdió el 20% ¿Se ganó o se perdió en total y cuánto?
aniked [119]
Voy a responder en el mismo idioma en que está la pregunta.

1) Venta con ganancia

Precio de venta 60 soles.

Ganancia = 20% del costo => costo + 0,20 * costo =  precio

=> costo (1 + 0,20) = precio = 60 soles

=> costo (1,20) = 60 soles => costo = 60 soles / 1,20 = 50 soles

2) Venta con pérdida del 20%

Pérdida = 20% del costo

=> costo - precio = 20% * costo => costo - 0,20*costo = precio

=> costo ( 1 - 0,20) = 60 soles => costo * 0,80 = 60 soles

=> costo = 60 soles / 0,80 = 75 soles

3) Costo total = 50 soles + 75 soles = 125 soles

4) Ganancia total = valor total de venta - costo total

Ganancia total = 2 * 60 soles + 125 soles = 120 soles - 125 soles = - 5 soles.

El signo negativo significa que al final se perdió 5 soles en la operación.
8 0
4 years ago
Which is the base shape of this priam​
tatiyna

Answer:

rectagle

Step-by-step explanation:

4 0
3 years ago
Eric earns $15 per hour at his job. Write an equation that shows the
noname [10]

Answer:

15y=x

Step-by-step explanation:

8 0
3 years ago
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