Answer:
6 minutes
Step-by-step explanation:
6.77-1.25=5.52
5.52/.92= 6
Answer:
Area V
Step-by-step explanation:
Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation:
Answer:
1. City A: 150 violent crimes per 100,000 residents.
City B: 161 violent crimes per 100,000 residents.
2. City A
Step-by-step explanation:
City A:
Population = 123,000
Violent crimes = 185
Violent crimes per 100,000 people:

City B:
Population = 84,000
Violent crimes = 135
Violent crimes per 100,000 people:

1. City A: 150 violent crimes per 100,000 residents.
City B: 161 violent crimes per 100,000 residents.
2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.
Answer:
See description below.
Step-by-step explanation:
To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.
Example:
y = 2x -1
y= -1/2 +5