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3 years ago

Solve the inequality:12+x≥3(x-6)

Mathematics

1 answer:

SVETLANKA909090 [29]3 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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9. The volume of the cone pictured is 9 cm^3 and the radius is 6 cm. What is

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3 years ago

(6v^3+42v)/(2v^2+26v+84)

Kisachek [45]

Answer:
_______________________________________________
The simplied version is:
_______________________________________________
" $\frac{3v(v^2+7)}{(v^2+13v+42)}$ " ;

or; write as: " $\frac{3v(v^2+7)}{(v+7)(v+6)}$ " .
_______________________________________________
Explanation:
_______________________________________________
Given:
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" $\frac{6v^3 +42 v}{2v^2 +26v + 84}$ " ;
_______________________________________________
→ Factor out a "6v" $\frac{6v(v^2+7)}{2(v^2+13v+42)}$ in the "numerator"; & factor out a "2" in the denominator; as follows:
____________________________________
→ $\frac{6v(v^2+7)}{2(v^2+13v+42)}$ ;
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→ " $\frac{3v(v^2+7)}{(v^2+13v+42)}$ " ;
______________________________________________

or; factor out the "denominator" :
______________________________________________
→ (v² + 13v + 42) = (v+7)(v+6) ;
______________________________________________
and write as:
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→ " $\frac{3v(v^2+7)}{(v+7)(v+6)}$ " .
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3 0

4 years ago

Convert 25/8 into a mixed number

motikmotik

Changing improper fractions to mixed form or mixed numbers is a very simple thing. You just have to follow the following:
Then write Let us have 25/8. 
1. Divide the numerator (top number) by the denominator (number below the bar). Simply divide 25 by 8. 25 ÷ 8 = n
We can have 3 and 1 as a remainder. So, the answer will be 3 and 1/8. 

2. Write down the whole number answer.
Since we have 3 as the whole number answer, write it down. And; 

3. Write down any remainder above the denominator, like this: 3 and 1 (remainder) over 8 (denominator of the given improper fraction). That is, 3 1/8

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4 years ago

The table shows the predicted growth of a particular bacterium after various numbers of hours.

Brut [27]

According with the table:
n=1→a1=24
n=2→a2=48
n=3→a3=72
n=4→a4=96
n=5→a5=120

With the first option we would get:
a1=24(1)+1=24+1→a1=25 different to 24. The equation does not work

With the second option we would get:
a1=24(1)→a1=24. The equation works
a2=24(2)→a2=48. The equation works
a3=24(3)→a3=72. The equation works
a4=24(4)→a4=96. The equation works
a5=24(5)→a5=120. The equation works

With the third option we would get:
a1=(1/24)(1)(1*1)/24→a1=1/24 different to 24. The equation does not work

With the fourth option we would get:
a1=1+24→a1=25 different to 24. The equation does not work

Answer: Second Option: an=24n

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4 years ago

Read 2 more answers

How do you undisribute 3(x+5)

alexandr402 [8]

Answer:

did you mean distribute?

Step-by-step explanation:

multiply 3 with x and 5 and you will get 3x + 15.

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3 years ago

Solve the inequality:12+x≥3(x-6)​

Solve the inequality:12+x≥3(x-6)