7/8 / 2/7 =
7/8 * 7/2 = 49/16 = 3 1/16
she can make 3 shirts
The question is
if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)
We use the synthetic division to find the remainder,
x-5=0
x=5
Now, write the coefficients of polynomial.
5 | 2 0 -3 5
| ↓ 10 50 235
-------------------------------
2 10 47 | 240→ is the remainder.
Quotient= 2x²+10x+47
Remainder= 240
Y=x^2-5
y=2x-5
y+5=2x
x=(y+5)/2
y=((y+5)/2)^2-5
y=(y^2+10y+25)/4-5
4y=y^2+10y+25-20
0=y^2+6y+5
0=(y+5)(y+1)
y= -5 or -1
y=2x-5 (y= -5 doesn't work for this one so use -1)
-1=2x-5
2x=4
x=2
Using these answers, you can choose answer D with reasonable certainty.
X - invested for the money at 11%
70 000 - x - deposited at 12%
0.11x + 0.12(70000-x)=7900
0.11x + 8400 - 0.12x = 7900
8400- 7900 = 0.01x
500 = 0.01x
x=50 000 invested at 11%
rest (20K) invested at 12%
