Step-by-step explanation:
We must realise that the image of the quadratic curve shown is not showing the full curve. Instead it extends further out.
For all quadratic curves, the domain is all x-values.
We see here that this quadratic curve has an absolute minimum at y = -4 and the curve stretches towards positive infinity.
Hence the range is y >= 4.
The correct answers are the 1st and 5th options.
Answer: Connect the two circles together using the compass.
Steps to inscribe an equilateral triangle into a circle:
1. You are given a circle with the center marked.
2. Draw a radius of the circle using your straightedge.
3. Keep your compass open to the width of the radius and place it on the point where the radius and circle intersect.
4. Swing an arc the length of the radius that intersects the circle to the left of the radius originally drawn.
5. Keeping your compass at the same width, place it on the new intersection point you created in the previous step.
6. Continue this process until six points of intersection exist on the circle.
7. Connect together the first, third, and fifth intersection points.
Answer:
x > -1
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
From the graph we can see that our x-values span from -1 to infinity. Since -1 is open dot, it is not included in the domain:
(-1, ∞) or x > -1
Answer:$75 is the answer
Step-by-step explanation:
hope that helps!
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
