Answer:
x + 3 is a factor of the polynomial.
Step-by-step explanation:
We have been given that p(x) is a polynomial with integer coefficient.
Also p(-3)=0
Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.
Now, we apply factor theorem.
Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).
Applying this theorem, we can say that (x+3) must be a factor of the polynomial.
Hence, first statement must be true.
<h3>
Answer: f( h(x) ) = 2x - 4</h3>
Work Shown:
f(x) = x - 7
f( h(x) ) = h(x) - 7
f( h(x) ) = 2x+3 - 7
f( h(x) ) = 2x - 4
Explanation:
In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.
Answer:
Supplementary Angle's Theorem
Step-by-step explanation:
The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent.
Answer:
x=2
Step-by-step explanation:
5x+
= 7
5x+4 =7 (2)
5x+4=14
5x=14-4
5x=10
= 
x=2
I used the Old Change New method and I crossed multiplied.
The answer is about $498 (I rounded $497.895875)
Check: $498>459.95 by 8.25%
