The addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.
<h3>Polynomial</h3>
- x⁴ - 3x + 1
- 4x² - 2x + 8
- x³ - 9
Adding the polynomial
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
= x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
- Collect like terms in descending powers
= x⁴ + x³ + 4x² - 3x - 2x + 1 + 8 - 9
= x⁴ + x³ + 4x² - 5x
Therefore, the addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.
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Let all attempted passes = x
70% of x = 350
(70/100)*x = 350
7x/10 = 350
7x = 350 * 10
x = (350 * 10) /7
x = 500
John attempted 500 passes.
Volume = l x w x h
180 = l (5 x 4)
180 = 20 l
6 = l
That means that the couch will fit, because the length of the van is 6 ft, which is also the length of the couch.
Ok, a fun hack
if f⁻¹(a)=b then f(b)=a
so if f⁻¹(7)=b then f(b)=7
to find b, find x such that f(x)=7
7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides
I believe what we are looking for is area. If so the formula for area of a rectangle is area equals width times length
A=wl
So:
9*13=117
The area would be 117, the amount of wall space needed is 117.
Hope this helps:)
