The graphs of f(x) and g(x) are transformed function from the function y = x^2
The set of inequalities do not have a solution
<h3>How to modify the graphs</h3>
From the graph, we have:
and 
To derive y < x^2 - 3, we simply change the equality sign in the function f(x) to less than.
To derive y > x^2 + 2, we perform the following transformation on the function g(x)
- Shift the function g(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) down by 3 units
- Change the equality sign in the function g(x) to greater than
<h3>How to identify the solution set</h3>
The inequalities of the graphs become
y < x^2 - 3 and y > x^2 + 2
From the graph of the above inequalities (see attachment), we can see that the curves of the inequalities do not intersect.
Hence, the set of inequalities do not have a solution
Read more about inequalities at:
brainly.com/question/25275758
Step-by-step explanation:
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite to the angles.
so,
14/sin(80) = x/sin(60)
x = 14×sin(60)/sin(80) ≈ 12.3cm
2x + 5 = 11
2x = 6
x = 3
y + 4 = 2x + 4
y + 4 = 2(3) + 4
y + 4 = 10
y = 6
answer
x = 3 and y = 6
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
- Right angled triangle - one of the angles measure 90 degrees
- equilateral triangle - all three sides of the triangle are equal
- isosceles triangle - two sides of the triangle are equal
Area of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
Answer:
Angles X and Z are supplementary, so 180-105. The answer is 75