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2 years ago

Solve. −4/3x+1/6<7/9

Mathematics

2 answers:

boyakko [2]2 years ago

6 0

x > -11/24 is the answer

Korvikt [17]2 years ago

4 0

Let's solve your inequality step-by-step.−43x+16<79

Step 1: Subtract 1/6 from both sides.−43x+16−16<79−16−43x<1118

Step 2: Multiply both sides by 3/(-4).(3−4)*(−43x)<(3−4)*(1118)x>−1124

Answer:x>−1124

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One term of (x+y)^m is 31,824x^18y^11 What is the value of m ?

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Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of $(x+y)^m$ is $31,824x^{18}y^{11}$ ...(i)

We know that that (r+1)th term in $(a+b)^n$ is given by :-

$T_{r+1}=^nC_ra^{n-r}b^r$ ...(ii)

On comparing (i) with (ii) , we get

$a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m$

i.e.

$m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29$

Hence, the value of m is 29.

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