Answer:
g(x) = x+5
Step-by-step explanation:
Given that,


We need to find the polynomial. We know that, Euclid division lemma states that

Where
f(x) is dividend
g(x) is the poynomial
q(x) is quotient
r(x) is remainder
So,

So, the polynomial is (x+5).
Answer:
X=0
Step-by-step explanation:
It is a law that

Number( a) shouldn't be zero.
Answer:

Step-by-step explanation:
6 is the whole number, while 2 is the numerator and 5 is the denominator.
Step-by-step explanation:
x = hours Ali was charged for
150 + 50 x = 375
- 150 -150
50x = 225
÷ 50. ÷50
x = 4.5 hours
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>