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Nutka1998 [239]
3 years ago
5

How do you solve |5x-4|>6

Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

x < - \frac{2}{5} or x > 2

Step-by-step explanation:

inequalities of the form | x | > a always have solutions of the form

x < - a or x > a, hence

5x - 4 < - 6 or 5x - 4 > 6 ( add 4 to both sides in both inequalities )

5x < - 2 or 5x > 10 ( divide both sides by 5 in both inequalities )

x < - \frac{2}{5} or x > 2

The solutions can be expressed in interval notation as

x ∈ (- ∞, - \frac{2}{5}) ∪ (2, ∞ )



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Mr. Granville needs some plywood that is about three over four-inch thick. Which plywood is closest to three over four-inch thic
Makovka662 [10]

Answer:

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

Step-by-step explanation:

we have

3/4 in

Verify each value

case A) 13/16 in

we know that

3/4 in=12/16 in ----> multiply by (4/4)

Find the difference

13/16-12/16=1/16 in

case B) 11/32 in

we know that

3/4 in=24/32 in ----> multiply by (8/8)

Find the difference

24/32-11/32==13/32 in

case C) 1/2 in

we know that

1/2 in=2/4 in ----> multiply by (2/2)

Find the difference

3/4-2/4=1/4 in

case D) 3/8 in

we know that

3/4 in=6/8 in ----> multiply by (2/2)

Find the difference

6/8-3/8=3/8 in

<em>Compare the values of the difference and find the less value</em>

we have

case A) 1/16=2/32 in

case B) 13/32 in

case C) 1/4=8/32 in

case D) 3/8=12/32 in

The less value is case A) 2/32 in

therefore

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

4 0
3 years ago
Solve this inequality
nadya68 [22]

Answer:

The Correct answer would be t ≤ 0

Step-by-step explanation:

4 0
3 years ago
Si la aceleración de gravedad en la superficie de nuestro planeta es de 9,8m/s2, entonces ¿Cuál sería el peso de una persona de
andreyandreev [35.5K]

Answer:

El peso de una persona de 50 kg de masa que se encuentre sobre la superficie del planeta es 490 N.

Step-by-step explanation:

La masa es la cantidad de materia que contiene un cuerpo, mientras que el peso es la acción que ejerce la fuerza de gravedad sobre el cuerpo.

El peso se define como el producto de la masa por la aceleración de la gravedad:  

P= m*g

El peso del objeto variará de acuerdo a la fuerza de gravedad que actúa sobre este.

En el Sistema Internacional de Unidades (SI), la unidad del peso se expresa en Newton (N).

En este caso, la masa es 50 kg y la aceleración de la gravedad es 9,8 \frac{m}{s^{2} }. Reemplazando en la definición de peso:

P= 50 kg* 9,8 \frac{m}{s^{2} }

Resolviendo:

P= 490 N

<u><em>El peso de una persona de 50 kg de masa que se encuentre sobre la superficie del planeta es 490 N.</em></u>

3 0
3 years ago
A=(−3,2,3)A=(−3,2,3)B=(−3,5,2) P=(2,−3,2) Q=(2,0,1) Is PQ−→−PQ→ equivalent to AB−→−AB→? A. no B. yes
levacccp [35]

Answer:

B. Yes, it is equivalent

Step-by-step explanation:

A = (-3, 2, 3)

B = (-3, 5, 2)

/AB/ = (-3-(-3), 2-5, 3-2)

= (0, -3, 1)

P = (2, -3, 2)

Q = (2, 0, 1)

/PQ/ = (2-2, -3-0, 2-1)

= (0, -3, 1)

So, /AB/ is equivalent to /PQ/

6 0
4 years ago
$35 is 51% of what number?​
babunello [35]

Answer:

-16

Step-by-step explanation:

$35 is 51% of what number is written as: $35 = 51% * (X)

$35 = 51% * (X)

35 - 51 = X

<u>-16 = X</u>

<u></u>

<h2>Hope this helps!!!</h2>
6 0
4 years ago
Read 2 more answers
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