WhenWhen we divide 8x⁴ - 6x³ + 2 by 2x² + 3 The result obtained is 4x² - 3x - 6 remainder 9x + 20
<h3>What is quotient?</h3>
Quotient is the result obtained when division operation is carried out.
For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3
<h3>How to divide 8x⁴ - 6x³ + 2 by 2x² + 3 </h3>
To divide 8x⁴ - 6x³ + 2 by 2x² + 3, we shall apply the long division method. This is illustrated below:
<u> </u><u> </u><u>4</u><u>x² </u><u>-</u><u> </u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u> </u>
<u>2x² + 3 </u>| 8x⁴ - 6x³ + 2
<u> -(8x⁴ + 12x²)</u>
-6x³ - 12x² + 2
<u> -(-6x³ - 9x) </u>
-12x² + 9x + 2
<u>-(-12x² - 18)</u>
9x + 20
Thus, the result obtained when we divide 8x⁴ - 6x³ + 2 by 2x² + 3 is 4x² - 3x - 6 remainder 9x + 20
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FIND THE DIFFERENCE (SLOPE)
FORMULA: (y2-y1)/(x2-x1)
the numbers after the 'x' or 'y' in the formula depict which value to use.
y2 = 26
y1 = 15
x2 = 3
x1 = 2
PLUG IN. (26-15 = 11) delta y
(3-2 = 1) delta x
delta = difference, it's just a fancy math term.
*NOTE: don't use the division sign in literal terms, you are trying to find the slope (which is usually left as a fraction)
slope = 11/1 MEANING that for every rise of 11, the line runs 1
rise = y axis
run = x axis
SLOPE INTERCEPT FORM (FORMULA)
y=mx+b
where Y shows the function and does not serve as a variable value/purpose
m=slope
x= (alike Y) also does not serve as a true value/ purpose
b= y-intercept
Y=11x+b
when x = 0, y = ? (Y INTERCEPT)
y intercept = -7
since this function had two points that so eagerly boasted their close proximity to the y axis, I simply subtracted 1 from the closer of the two (to x=0) and then subtracted 11 the same amount of times from the y value/
Since the slope is 11, to find the y intercept, you must set x = 0.
for every decrease of 1 to the x value, the y value will decrease by 11.
*NOTE: This relationship is not always prominent, sometimes... The slope is negative, or is even represented by a fraction. In which an inverse relationship would be more suitable than a direct one, causing the x and y values to move in opposite directions of the other. Be careful when dealing with improper fractions as slopes, you must heed extra warning to identify whether the fraction is greater or less than 1.
NEW FUNCTION.... Y=11x-7
Test it out....
The percentage of those asked who favoured exactly one sportsperson is 75.
Given that, 78% of those asked were in favour of at least one of the three sportspersons. 50% of those asked favoured Saina, 30% favoured Dhoni, and 20% favoured Anand. If 5% of those asked favoured all three of them.
We need to find what percentage of those asked favoured exactly one sportsperson.
<h3>What is a Venn diagram?</h3>
A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
Now, favoured exactly one sportsperson=50+30+20-[(30-50-20-5)+(50-30-20-5)+(20-50-30-5)]
=100+(45-5-65)
=100-25
=75
Therefore, the percentage of those asked who favoured exactly one sportsperson is 75.
To learn more about a Venn diagram visit:
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Answer:
74 + 6x + 8 = 180
6x + 82 = 180
6x = 180 - 82
6x = 98
x = 98/6
x = 16.3
this answer is only correct
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