Answer:
x=2 and y= -2
Step-by-step explanation:
Substitute y=x-4 in second equation
x-4=4x-10
get x terms on one side and numbers on other sides
4x-x=10-4
3x=6
divide 3 on both sides
x=2
substitute x=2 in y=x-4
y=2-4
y= -2
Answer:
see below
Step-by-step explanation:
3x^2 + 17x +10 =0
(3x+ ) ( x+ ) =0
We need to factor 10 = 2*5 or 1*10
They are positive since we have all positive terms
3*5 = 15+2 = 17
The 5 needs to multiply the 3 so it goes on the outside
(3x+ ) ( x+ 5 ) =0
That leaves the 2 on the inside
(3x+ 2 ) ( x+ 5 ) =0
Using the zero product property
3x+2 =0 x+5=0
3x = -2 x=-5
x = -2/3 x = -5
They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does.
it is between 1 and 3 but i would go for 3, if choose all that would choose 1,2,3
Answer:
37.68
Step-by-step explanation:
use the formula pi(3.14)r^2 h/3