<span>The table to represent a linear function with a rate of change of +5
</span>
so, m = 13 + 5 = 18
The correct answer is option 3 ⇒ <span>m = 18
</span>
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another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
∴ m = 18
<span></span>
Answer: Option <span>A) If p(x) is divided by x – 9, the remainder is 6.</span>
<span><span>x=<span>−3</span></span><span>x=<span>-3</span></span></span>
Here the steps
<span><span><span>2<span>x+1</span></span>−<span>1<span>x−1</span></span>=<span><span>2x</span><span><span>x2</span>−1</span></span></span><span><span>2<span>x+1</span></span>-<span>1<span>x-1</span></span>=<span><span>2x</span><span><span>x2</span>-1</span></span></span></span>
<span>x<span>−3</span></span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span>=<span><span>2x</span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span></span><span><span><span>x<span>-3</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>=<span><span>2x</span><span><span>x+1</span><span>x<span>-1</span></span></span></span></span>
<span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>
<span><span><span>x<span>−3</span></span>=<span>2x</span></span><span><span>x<span>-3</span></span>=<span>2x</span></span></span>
<span><span>x=<span>−3</span></span><span>x=<span>-<span>3</span></span></span></span>
<span><span><span><span>So the answer comes out to be x = 3 I hope this was helpful </span></span></span></span>
The lcm of 120 and 20 is 120!
20 = 2 x 2 x 5
120 = 2 x 2 x 2 x 3 x 5
LCM = 2 x 2 x 2 x 3 x 5
