the coordinates where the bridges must be built is 
and 
.
<u>Step-by-step explanation:</u>
Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:
Basically we need to find values of x for which f(x) = g(x) :
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Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6
Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3
Therefore , the coordinates where the bridges must be built is and .
Answer:
prime number = 2,3,5
P( getting prime number ) = 3/6
= 1/2
If it bisect, then using the Line Bisector Theorem, it must be equal.
So x+6=4x-21
get like terms on 1 side
x+6=4x-21
-x. +21
27= 3x
x=9
plug the x in
CD= 9+6
CD=15
A/B is a reduced fraction which can be represented as a
terminating decimal if and only b is of the form 2^n5^n where m and n are non
negative integers. For example: 7/250, the terminating decimal here is 0.028 as
250 as the denominator equals to 2*5^2.
According to the above, we must know whether the denominator
have only 2-s and or 5-s as the prime factors. So,
Q = 8 = 2 ^3 = hence the denominator has only 2 prime
factors. Fraction P/Q will be termed as terminated decimal which is sufficient.
Answer:
27525.4902
Step-by-step explanation:
First need to add the total number of employees:
14+11+17+3+5+1=51
Now multiply the salary for each number of employees then add to have the total:
14x21000+11x22800+17x24800+3x32200+5x38500+1x148300= 1403800
Now to obtain the mean value just divide the total salary by the total number of employees:
1403800/51= 27525.4902
the mean salary is $27,525.49
