Y - 4 x = 7 - x²
y = - x ² + 4 x + 7 ( this is a quadratic function )
x = - b / 2 a, where: a = - 1 and b = 4
x = - 4 / ( - 2 ) = 2
Answer:
The axis of symmetry for the graph is x = 2
-Work backwards
-Look at theorems related to the figure
-Mark the figure to reflect the given statements
Answer:
a) All dogs have fleas.
X the set of all animals
D(y)=y is a dog
F(y)=y has fleas
∀X ( D(x) → F(x) )
¬∃X ( D(x) ^ F(x) )
b) There exists a horse that can add.
X the set of all animals
H(y)=y is a horse
A(y)=y can add
∃X ( H(x) ^ A(x) )
∀X ( H(x) → ¬A(x) )
c) Every koala can climb.
X the set of all animals
K(y)=y is a koala
C(y)=y can climb
∀X ( K(x) → C(x) )
¬∃X ( K(x) ^ C(x) )
d) No monkey can speak French.
X the set of all animals
M(y)=y is a Monkey
F(y)=y can speak French
∀X ( M(x) → ¬F(x) )
∃X ( M(x) ^ F(x) )
e) There exists a pig that can swim and catch fish.
X the set of all animals
P(y)=y is a pig
S(y)=y can swim
C(y)=y can catch fish
∃X ( P(x) ^ ( S(x) ^ C(x) )
∀X ( P(x) → ( ¬S(x) v ¬C(x) ) )
Let x = 1. Substitute x = 1 into the equation:
y = -9X(1)+3
y = -9+3
y = -6
-> Ordered pairs are written in the form (x,y). Thus in this case, your ordered pair is (1,-6).