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masha68 [24]
3 years ago
14

:)))) solve the following by factorizing: x^2-2x=120

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

Step-by-step explanation:

x^2 - 2x = 120\\x^2 - 2x - 120 = 0

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

(x+10)(x-12)

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2767545 to the nearest ten
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276550 hope this helps !
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3 years ago
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An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100
murzikaleks [220]

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

\mu = 100

Standard deviation

\sigma=15

Now,

⇒ P(z>x)=4 \ percent \ i.e., 0.04

⇒ P(z>\frac{x- \mu}{\sigma} )=0.04

⇒ 1-P(z \leq \frac{x-100}{15})=0.04

⇒ \frac{x-100}{15}=z0.96

            =NORMDIS(z=0.96)

            =1.751

⇒ x=100+15\times 1.751

      =126.265 \ i.e., 126

7 0
3 years ago
An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune up, its rate increases by x liters per
Alex73 [517]

Answer: 3(500+x)=1800

4 0
3 years ago
A school survey reported that
kozerog [31]

The probability that the student has  a part-time job, given that they  have a cell phone is 5/8

<h3>What is probability</h3>

Probability is the likelihood or chance that an event will occur.

Given the following parameter:

  • Total student = 80%
  • Part-time jobs = 45%
  • Those with both a cell phone  and a part-time job = 30%

Student will cellphone only = 80 - 30 = 50%

The probability that the student has  a part-time job, given that they  have a cell phone is 50/80 = 5/8

Learn more on probability here: brainly.com/question/25870256

6 0
2 years ago
Just need the answer for a and b
34kurt

Answer:

2⁵× 2ˣ = 256

x= 3

(1/3)² (1/3)ˣ = 1/729

x= 4

Step-by-step explanation:

2⁵× 2ˣ = 256

x= 3

use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ

convert both sides to the same base.

2⁵⁺ˣ = 2⁸

cancel the base of 2 on both sides.

5+x=8

subtract 5 from both sides.

x=8-5

simplify  8-5 3.

x=3

(1/2)² (1/3)ˣ = 1/729

x = 4

use division distributive property: (x/y)ᵃ=xᵃ/yᵃ

i hope this helped i didn't feel like typing the rest out though lol  :(

5 0
2 years ago
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