Answer:A
Step-by-step explanation: You divide 108 by 12
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
A mid to warm like temperature close to around 75° in a more tropical environment
Answer:
48 miles per hour
Step-by-step explanation:
José left Westcliffe on his bicycle riding at an average rate of 8 miles per hour five hours before his father left by automobile. The father overtook José in exactly one hour. This means Jose was riding
5 hours + 1 hour = 6 hours.
Use formula
where
D = distance
r = rate
t = time
In Jose's case,
D = unknown
r = 8 miles per hour
t = 6 hours
Hence,
In Jose's father case,
D = 48 miles
r = unknown
t = 1 hour (father overtook José in exactly one hour)
Hence,
