Answer:
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Step-by-step explanation:
The given polynomial equation is
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We perform the synthetic division as shown in the attachment by dividing by x-2.
This gives a remainder of 0 and a quotient of
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This means the polynomial equation becomes:
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We factor the quadratic term by splitting the middle term;
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Collect common factors again:
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The solution is:
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Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
Answer:
Value of a in term of x = 8/x
Step-by-step explanation:
Given:
14 = ax + 6
Find:
Value of a in term of x
Computation:
⇒ 14 = ax + 6
Step 1; Subtract 6 from both side
⇒ 14 - 6 = ax + 6 - 6
We get step 2
⇒ 8 = ax
Divide x from both side and we get step 3
⇒ 8 / x = ax / x
Step 4
⇒ 8/x = a
Step 5
⇒ a = 8/x
Value of a in term of x = 8/x
-26 < 54
Negative numbers are smaller than positive numbers