Answer:
H(x) is less than f(xl
Step-by-step explanation:
Whether f(x)=3 or -4, h(x)'s value will always be less than f(x).
I think its the first one
The first one because if you plug in the 2 points and the statement is true both times then it goes through both of those points.
Hey there Shynee!
To do this equation, you have to flip the equation and do it on both sides.
k/0.32 = 2.2
Instead of division, multiply on both sides.
k/0.32 * 0.32 = 2.2 * 0.32
This isolates the variable
k = 0.704
and finds what x equals.
Check:
0.704/0.32 = 2.2
Correct.
I hope I helped!
~Olivia
Answer:
(- 1, 8 ) and (5, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 7 → (1)
y = 0.5(x - 3)² → (2)
Substitute y = 0.5(x - 3)² into (1)
0.5(x - 3 )² = - x + 7 ← expand and simplify left side
0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )
x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )
