Answer:
quotient: 4x^3 -4x^2 -x +6
remainder: 3
Step-by-step explanation:
See the attached for the long division. As with any long division, at each step, the quotient term multiplies the divisor and the result is subtracted to form the new dividend.
Where x is years after 1999, the population is predicted to be ...
p(x) = 478,434*1.07^x
For x=11, this is
p(11) = 478,434*1.07^11 ≈ 1,007,033
The relation predicts the Las Vegas population in 2010 to be 1,007,033.
Answer:
Net Change in Geno's Field Position = 22 yards
Step-by-step explanation:
Assuming Geno initial position before change is 0
Geno Gained 4 yards three times = 4*3 = 12yards
Geno lose 1 yard twice = 1*(-2) = -2yards
Geno Gained 6 yards twice = 6*2 = 12yards
Net Change in Geno's Field Position = 12 + (-2) + 12 yards
= 22 yards
Answer:
B. MN, NO, OM
Step-by-step explanation:
Recall: In any triangle, the sides and the angles are related in the following way:
*The largest angle and the longest side are opposite each other
*The medium angle and the mid-sized side are opposite each other
*The smallest angle and the shortest side are opposite each other
In ∆MNO, we are given that
m<M = 57° which is opposite to side NO
m<N = 75° which is opposite to side OM
m<O = 180° - (75° + 57°) (sum of triangle)
m<O = 48° which is opposite to side MN
Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:
MN, NO, OM
Answer:
x=−18
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12+2x=x−6
12+2x=x+−6
2x+12=x−6
Step 2: Subtract x from both sides.
2x+12−x=x−6−x
x+12=−6
Step 3: Subtract 12 from both sides.
x+12−12=−6−12
x=−18
