Hello,
P(x)=x^3-7x-6
P(4)=4^3-7*4-6=30
Remainder=30
Answer:
X=7
Step-by-step explanation:
7*15=105 7-2=5 5*25=125 125+105=230
They will need 3 cars, but one of the cars will be having 3 passengers instead of 4. :)
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
There are 30 students in the classroom; 40% are men and 60% are women. How many men and women are in the classroom?
40/100 = 2/5 60/100 = 3/5 30 ÷ 5 = 6 3 × 6 = 18 so 18 are women 2 × 6 = 12
so there are 12 men.
