Answer:
3.4 Polynomial Long Division
Dividing : 8x3-6x2-23x+6
("Dividend")
By : x-2 ("Divisor")
dividend 8x3 - 6x2 - 23x + 6
- divisor * 8x2 8x3 - 16x2
remainder 10x2 - 23x + 6
- divisor * 10x1 10x2 - 20x
remainder - 3x + 6
- divisor * -3x0 - 3x + 6
remainder 0
Quotient : 8x2+10x-3 Remainder: 0
Step-by-step explanation:
i have no idea but this is what i found.
Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
Anything that has mass and takes up space
Let, the number of hour, she can still watch the T.V. = x
Equation would be: x + 1.5 ≥ 5
Solving the equation:
x + 1.5 ≥ 5
Subtract 1.5 from both the sides,
x + 1.5 - 1.5 ≥ 5 - 1.5
x ≥ 3.5
In short, She can watch 3.5 hours more in that week
Hope this helps!