Answer:
0.73 N to 2 dp.
Step-by-step explanation:
F = k/d^2 where k is a constant , F = force and d = distance.
Substituting:
0.36 = k / (6)^2
k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.
When d = 4.2 :
F = 12.96 / 4.2^2
F = 0.73 Newtons to 2 dp.
<span>96/x=100/33
(96/x)*x=(100/33)*x - we multiply both sides of the equation by x
96=3.0303030303*x - we divide both sides of the equation by (3.0303030303) to get x
96/3.0303030303=x
31.68=x
x=31.68
now we have:
33% of 96=31.68
</span>
Answer: 17
Steps:
1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13
2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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