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) :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
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 .
62.5 is your answer in decimal
<span>Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.
Let the weight of each checking bag is w kg. So we can write:
2 x (Weight of a checking bag) + Weight of Backpack = 35
Using the values, we get:
2w+ 4 = 35
Using this equation we can find the weight of each checking bag, as shown below.
2w = 31
w = 31/2
w = 15.5
Thus, the weight of each checking bag is 15.5 kg
</span>
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is 
, which in this case is:
Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
Hope this helps!
Sub g to (-3) and then solve from there using PMDAS and equation solving skills, Photomath is a fantastic resource
