H = 215t - 16.t² or H = -16t² + 215t
97 = -16t² + 215t
-16t² + 215t - 97 = 0
solving this equation genes t' = 12.97 seconds and t" = 0.467??
(x-3)(x-5)=35
Multiply the brackets together
x*x-5*x-3*x-3*5
x^2-8x+15=35
Move +35 to the other side. Sign changes from +35 to -35
x^2-8x+15-35=35-35
x^2-8x-20=0
(x-10)(x+2)=0
x-10=0 x+2=0
Move -10 to the other side. Sign changes from -10 to +10
x-10+10=0+10 x+2-2=0-2
x=10 x=-2
Answer: x=10
Answer:
Guitarist wtote 25 songs
Drummer wrote 10 songs
Step-by-step explanation:
G: number of guitarist songs
D: number of Drummer songs
We have:
G=3D - 5 (The guitarist wrote 5 fewer than three times the number of songs that the drummer wrote)
G+D=35 (They wrote a total of 35 songs)
That is the meaning of each equation.
Now we have to solve these system of equations:
G=3D-5
G+D=35
Using the substitution method:
(3D-5)+D=35
4D=35+5
4D+40
D=10
Thus: G=35-10
G=25
The product of any integer (let that any integer be' x') and '-1 ' will be -
if the integer is positive then the integer will be negetive
if the integer is negetive then the product will be positive
if the integer is 0 then the product will be 0
as any no. multiplied by 0 is 0
