The answer is c=11 and t=11.75 :)
Here’s the explanation of why and why it is correct
Answer:
288
Step-by-step explanation:
24 is a multiple of 12, and 36 is a multiple of 12, so the LCM of 24, 32, and 36 will also be the LCM for 12 and 16.
24 = 2^2 * 3
32 = 2^5
36 = 2^2 * 3^2
LCM = 2^5 * 3^2
LCM = 288
The vertex will be when the velocity is equal to zero:
df/dx=-12x+24 (using the power rule for differentiation)
df/dx=0 only when:
-12x+24=0 add 12x to both sides
12x=24 divide both sides by 12
x=2, we find the y value to be:
y(2)=-6(2^2)+24*2-20
y(2)=-24+48-20=4
So the vertex is the point (2,4)
And the axis of symmetry is the line x=2
Now if you do not yet do calculus...
The vertex will occur midway between the two zeros.
6x^2-24x+20=0 (using the Quadratic Formula for simplicity)
x=(24±√96)/12
x≈(1.1835, 2.8165)
Now the vertex occurs at the average of the zeros...
x=(1.1835+2.8165)/2=2 (as we saw earlier)
y(2)=4
Vertex is at (2,4) and axis of symmetry is the vertical line x=2
{(2, 2),(4, 4),(6, 6),(8, 8)} Is a function.{(0, 3),(3, 5),(5, 6),(8, 4)} Is a function.{(1, 2),(3, 3),(4, 8),(6, 3)} Is a function.{(3, 4),(5, 2),(5, 6),(7, 3)} Is not a function.
Answer:
5x +27y
Step-by-step explanation:
13x + 7y - 8x + 20y
lets group terms according to variable
5x +27y
