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quester [9]
3 years ago
13

What is the solution to –4(8 – 3x) ≥ 6x – 8? x ≥ – x ≤ – x ≥ 4 x ≤ 4

Mathematics
2 answers:
ollegr [7]3 years ago
7 0

Answer:

x ≥ 4

Step-by-step explanation:

–4(8 – 3x) ≥ 6x – 8

Distribute

-32 +12x ≥ 6x – 8

Subtract 6x from each side

-32 +12x-6x ≥ 6x-6x – 8

-32 +6x  ≥  – 8

Add 32 to each side

-32 +32 +6x≥ 32– 8

6x ≥ 24

Divide by 6

6x/6 ≥ 24/6

x ≥ 4

lesya [120]3 years ago
4 0

Answer:

c. x ≥ 4

Step-by-step explanation: just took the test

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8 0
3 years ago
Read 2 more answers
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
Answer this question with a clear explanation to be marked as Brainiest ✨✨✨✨✨✨✨✨
Nina [5.8K]

Answer:

C

Step-by-step explanation:

A, B and D are all only a few digits long and can be expressed as the ratio of two integers, where at least one is even:

A = -6/16 = -3/8, so it's rational

B = 7.0398 = 35199/5000, so it's rational

D = 6,907 = 13814/2, therefore rational

C, on the other hand is irrational.

If we simplify the surd √8, we get 2√2. The 2's on the top and bottom can now cancel out, giving us √2, which is irrational. [There's a proof but it's kinda long].

5 0
2 years ago
(HELP FAST )What is the solution to this system of equations? *
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Answer:

(1,3) should be the answer due to the fact that both lines intersect at that point.

Step-by-step explanation:

8 0
2 years ago
on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent
andre [41]

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18  =1/2

​⇒  b1/b2=  3/6 =  1/2

⇒  c1/c2=  12/24=  1/2

comparing

⇒  a1/a2,b1/b2,c1/c2  

⇒  a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

6 0
3 years ago
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