Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
v min (-2;-3)
Step-by-step explanation:
its going to be a parabola with a minimum of (-2;-3) I hope it helps
Answer:
The appropriate interest rate would be 10%.
Step-by-step explanation:
Without further info I must assume that you want "simple interest" on the $25000 principal. The appropriate formula for simple interest is:
i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years.
i
We want the rate, r, so we solve this equation for r: r = -------------
p*t
Now we're in a position to substitute the known values of i, p and t and to calculate r from them:
$5000 1
r = ---------- ------------- = --------------- = 0.10
($25000)(2 yrs) 10
The appropriate interest rate would be 10%.
Subtract 4/5 to other side. You get 1/5 as your answer.
