If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.
First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0
So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.
The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.
Answer:
The answer to x is 107
Step-by-step explanation:
If the driver and truck weigh 4500 and the bridge is can hold 6000 lbs. than there is room for 1500 more lbs. multiply 14 by 100 and get 1400, than multiply 14 by 7 and get 98. Add those to to get 1498. So the answer is x=107
Answer:
The weight of sunflower seeds in each snack bag is 1/16 of a pound
Step-by-step explanation:
Here, we want to know the weight of sunflower seeds in each snack bag.
The total weight bought is 9/16 pound and the division is into 9 bags
So the weight of the individual bags will be ;
9/16 divided by 9
= 9/16 * 1/9 = 1/16
Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
Answer:
The average number of customers in the system is 3.2
Step-by-step explanation:
The average number of customes in the system is given by:
In which
is the number of arirvals per time period
is the average number of people being served per period.
The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.
Customers arrive at the stand at the rate of 28 per hour
This means that 
Service times are exponentially distributed with a service rate of 35 customers per hour.
This means that 
. So
The average number of customers in the system (i.e., waiting and being served) is
The average number of customers in the system is 3.2
