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ICE Princess25 [194]
2 years ago
9

Solve the inequality:12+x≥3(x-6)​

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Hello there! :)

The first step is to use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's distribute 3, using this property:

3(x-6)=3x-18

Now, our inequality looks like so:

12+x≤3x-18

The next step is to move the variables to the left, using the opposite operation:

12+x-3x≤-18

12-2x≤-18

Now, move all the numbers to the right, using the opposite operation:

-2x≤-18-12

-2x≤-30

Divide both sides by -2 to isolate x.

Remember that when we divide by a negative variable, we change the inequality sign:

x≥15

Therefore, x≥15

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

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Solve −3x=2x2−4<br> using the Quadratic Formula.
otez555 [7]

Answer:

-3x= 2×2-4

Step-by-step explanation:

-3x= 4-4

-3x= 0

divide both sides by the co-efficient of x

-3x/-3= 0÷-3

  • x= 0/-3

x = 0

8 0
3 years ago
The radius of a sphere is 11 cm.what is the surface area of the sphere? Round to the nearest tenth.
Vanyuwa [196]

Answer:

The answer is

<h2>1520.5 cm²</h2>

Step-by-step explanation:

Surface area of a sphere is given by

S = 4πr²

where r is the radius

From the question r = 11cm

So the surface area of the sphere is

4π(11)²

= 4(121)π

= 484π

= 1520.5308

Which is

1520.5 cm² to the nearest tenth

Hope this helps you

8 0
3 years ago
Topic: Absolute Value Equations and Inequalities
jolli1 [7]

The values of  x are -22 and -2 and there are not extraneous solutions

<h3>How to solve the equation?</h3>

The equation is given as:

2|x + 7|= x - 8

Expand the absolute bracket

|2x + 14|= x - 8

Remove the absolute bracket

2x + 14 = x - 8 and 2x + 14 = -x + 8

Evaluate the like terms

x = -22 and 3x = -6

This gives

x = -22 and x = -2

Hence, the values of  x are -22 and -2 and there are not extraneous solutions

Read more about absolute value expressions at:

brainly.com/question/24368848

#SPJ1

4 0
1 year ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
WINSTONCH [101]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
<span>
The best and most correct answer among the choices provided by the question is </span>   <span>an = −4(−5)n − 1 where n ≥ 1 .
</span>      <span>
Hope my answer would be a great help for you.  </span>
5 0
3 years ago
Read 2 more answers
The housing market in Dallas, Texas, experienced a 9.8% increase in the past year. If the median home price was $96,812 one year
JulijaS [17]

Answer:  $106,300

<u>Step-by-step explanation:</u>

A = P(1 + r)

  • A is the accrued amount (balance)
  • P is the principal (initial amount)
  • r is the rate --> convert to a decimal

Given: P = 96,812    r = 9.8% --> 0.098

A = 96,812(1 + 0.098)

   = 96,812(1.098)

   = 106,299.576

rounded to the nearest dollar is $106,300

5 0
3 years ago
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