The complete equation of the polynomial is 2x(x^2 - 11x) + 10x^3 = 3x(4x^2 - 7x) - x^2
<h3>How to complete the blanks?</h3>
The equation is given as:
_x(x^2 - _x) + _x^3 = _x(_x^2 + _x) - x^2
Complete the blanks using alphabets
ax(x^2 - bx) + cx^3 = dx(ex^2 + fx) - x^2
Open the brackets
ax^3 - abx^2 + cx^3 = dex^3 + dfx^2- x^2
Factorize the expression
(a + c)x^3 - abx^2 = dex^3 + (df - 1)x^2
By comparison, we have:
a + c = de
-ab = df - 1
Rewrite the second equation as:
ab + df = 1
So, we have:
a + c = de
ab + df = 1
Set a = 2 and c = 10.
So, we have:
a + c = de ⇒ de = 2 + 10 ⇒ de = 12
ab + df = 1 ⇒2b + df = 1
Express 12 as 3 * 4 in de = 12
de = 3 * 4
By comparison, we have:
d = 3 and e = 4
So, we have:
2b + df = 1
This gives
2b + 3f = 1
Set b = 11.
So, we have:
2 * 11 + 3f = 1
This gives
22 + 3f = 1
Subtract 22 from both sides
3f = -21
Divide by 3
f = -7
Hence, the complete equation is:
2x(x^2 - 11x) + 10x^3 = 3x(4x^2 - 7x) - x^2
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Answer:
45 !!
Step-by-step explanation:
Anne = 5x
Dawn= 3x
Amount = 120
5x + 3x = 120
8x = 120
x= 120/8 = 15
Anne = 5x = 15 x 5 = 75
Dawn= 3x = 15 x 3 = 45
I hope im right!!
Answer:
-13x-8
Step-by-step explanation:
Start with a deck of 52 cards. Draw 1 card. Probability of drawing a diamond first:

Now draw another single card from the deck, which now contains 51 cards. Probability of drawing a spade:

Draw 1 last card. The deck has 50 cards left, and 12 of these are diamonds. Probability of drawing a diamond:

So the probability of drawing a diamond, then a spade, then another diamond is
Answer:
x = 2
Step-by-step explanation:
x + 4 = 6
=> x = 6 - 4
=> x = 2