X^4-3x³+4x
x^4-3x³+3x+x
(x^4+x)-(3x³-3x)
x(x³+1)-3x(x²-1)
x(x+1)(x²-x+1)-3x(x+1)(x-1)
x(x+1)(x²-x+1-3x+3)
x(x+1)(x²-4x+4)
x(x+1)(x-2)(x-2)
so x intercepts are (0,0), (-1,0) and (2,0)
the y intercept is (0,0)
Answer:
3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter
Step-by-step explanation:
Rashid pastries (R)
Mikhail pastries (M)
Rashid and Mikhail submitted a total of x pastries
R+M=x (I)
Rashid made 2/3 as many pastries as Mikhail
(2/3)*R=M (II)
Using II in I
R+(2/3)*R=x
(5/3)*R = x
R=(3/5)*x (III)
Using III in I
(3/5)*x+M=x
M=x-(3/5)*x
M=(2/5)*x (IV)
Mikhail filo dough (MF)
Mikhail shortcrust dough (MS)
Rashid filo dough (RF)
Rashid shortcrust dough (RS)
Mikhail used filo dough for all of his pastries
MF=M
MS=0
Rashid used shortcrust dough for all of his pastries
RS=R
RF=0
Filo dough (FD)
FD=RF+MF=0+MF=MF=M (V)
5/8 of the filo dough pastries were brushed with olive oil
pastries brushed with olive oil (OI)
(5/8)*FD=OI
Using V
(5/8)*M=OI
Using IV
(5/8)*(2/5)*x=OI
(1/4)*x=OI (VI)
pastries brushed with butter (B)
Pastries made out of filo dough are brushed with either olive oil or butter (but not both)
FD=OI+B
B=FD-OI
Using V and VI
B= M - (1/4)*x
Using IV
B = (2/5)*x - (1/4)*x
B= (3/20)*x
3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter
The 2nd option from the top
Answer:
d it's the cutest.
Step-by-step explanation:
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
