Answer:
If 4 students travelled in cars, then 341 - 5 = 336students travelled by bus.
There were 5 buses. 336÷ 6 = 56
There were 56 students on each bus.
Sum f(k)=4k-10 for k=1 to 18.
We sum each term separately and add the sums.
![\sum_1^{18}4k=4\sum_1^{18}k=4[18(1+18)/2]=4*9*19=684](https://tex.z-dn.net/?f=%5Csum_1%5E%7B18%7D4k%3D4%5Csum_1%5E%7B18%7Dk%3D4%5B18%281%2B18%29%2F2%5D%3D4%2A9%2A19%3D684)

Therefore the required sum is 684-180=504
Answer:
y=6
Step-by-step explanation:
Differentiate the equation
dy/dx=2x-8
Find the value of x in equation form
2x-8=0
x=8/2=4
Now x=4 is the line of symmetry or the parabola of the quadratic equation.
Plug back x=4 into the equation to find the turning point(minimum value)
y=(4)²-8(4)+22
y=16-32+22
y=6
Answer:
2
Step-by-step explanation:
if you suntract the 2 you, 3x cancels 2y cancels, 8-6 is 2
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
#SPJ1