I suppose its 7, subtracted
Split the inequality into two:
(-4x+14)>6 & -(-4x+14)>6
solve:
(-4x+14)>6
-4x>-8
x<2
(symbol changes when ÷/× by negative for inequalities.)
-(-4x+14)>6
-4x+14<-6
-4x<-20
x>5
the answers are x<2 and x>5, so you would write your answer like this: (-∞,2) ∪ (5,∞)
Answer:
(-1,-6)
Step-by-step explanation:


(Replaced x in f with (x-2))
(Used
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at
.
Let's find
first.

Now we can obtain
which is
in this case:




.
The vertex is (-1,-6).
Triangles CPA and CPB are both right triangles. They share a leg, so that leg in one triangle is congruent to that leg in the other triangle. We are given that PA is congruent to PB by the hash marks on the diagram. Thus two legs and an included angle are congruent between the triangles.
... ∆CPA ≅ ∆CPB by the SAS postulate
Then side CA ≅ CB = 15 in, because corresponding parts of congruent triangles are congruent (CPCTC).
... CA is 15 in.
Answer:
A. divide both sides by 3
Step-by-step explanation:
3p < 14
We want to isolate p, so we divide both sides by 3
3p/3 < 14/3
p <14/3