Answer:
Graph 1, 2, 5, 6 are not functions.
Graph 3, 4 are functions
Step-by-step explanation:
For every input there can only be one output to be a function.
Answer:
k = -
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - 
k - 2 = 0 ⇒ k = 2
Answer:
x=-5 Hope this helped! Goodnight!
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(2x+6)=12
Step 1: Simplify both sides of the equation.
−3(2x+6)=12
(−3)(2x)+(−3)(6)=12(Distribute)
−6x+−18=12
−6x−18=12
Step 2: Add 18 to both sides.
−6x−18+18=12+18
−6x=30
Step 3: Divide both sides by -6.
−6x
/−6
=
30
/−6
x=-5
A
100+89.50×36
=3,322
b
3,322−2,900
=422
c
2,900÷89.50
=33
Answer:
C
Step-by-step explanation:
2x + 1 = 85 (Alternate Interior Angles Theorem)
2x = 84
<em>x = 42</em>
(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)
3y + 5 + (85) = 180
3y + 5 = 95
3y = 90
<em>y = 30</em>