She needs 10 more plates to get 30
I believe the answer is 6x-7y=-11
Question 1: D
Question 2:D
Question 3: C
Question 4: A
Question 5: D
Answer:
Suppose we have a polynomial of degree N with a leading coefficient A and roots {x₁, x₂, ..., xₙ}
We can write this polynomial as:
P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
such that the terms:
(x - x₁), (x - x₂), etc...
are called the factors.
In this case, we know that the roots OF THE FACTORS
are:
(x = - 2)
(x = - (1 + √5))
(x = + 3i)
If the root of the polynomial is x = -2, then the factor should be:
(x + 2)
which is zero when we evaluate x in -2
Then the correct option is the first one.
(i) Slope is 
(ii) x - intercept is 
(ii) y - intercept is 
Explanation:
The given equation is 
We need to determine the slope, x - intercept and the y - intercept
(i) Let us determine the slope of the equation.
Since, the equation is of the form 
where m is the slope
Thus, comparing the equation with the general form , the slope is 2.
Thus, slope is
(ii) Now, we shall determine the x - intercepts.
The x - intercept can be determined by substituting 
in
Thus, we have,
Thus, the x - intercept is
(iii) The y - intercept can be determined by substituting 
in
Thus, we get,
Thus, the y - intercept is
