The graph of f(x) = x^2 has only one x-intercept since its vertex is at the origin, (0,0) and it opens up. When comparing the graph of <span>g(x) = -x^2 -5 with the graph of f(x) = x^2, g(x) is the graph of f(x) first reflected in the x-axis and then translated 5 units down. The graph of g(x) has no x-intercepts since its a parabola that opens downward (result of reflection in x-axis) and its vertex at (0,-5) is situated below the x-axis.</span>
Answer: 15
REMEMBER: The mode is the value that appears most frequently in a data set.
Answer:
46
Step-by-step explanation:
3 x 2^3 + 5^2 - 18/6
= 3 x 8 + 25 - 3
= 24 + 25 - 3
= 49 - 3
= 46
12. The
answer is B because the sum of any two sides of a triangle must be greater than the other side.
A. 4 → 4 + 4 is not GREATER than 8
B. 8 → 4 + 8 is greater than 8 and 8 + 8 is greater than 4
C. 12 → 4 + 8 is not GREATER than 12
D. 16 → 4 + 8 is not GREATER than 16
13. The central angle containing the green beans is 360° - (195°+98°) = 67°.
If the diameter of the circle is 12 then the circumference = πd = 12π.

× 12π≈7.013
So the
correct answer is A67/360 represents the portion of the circle which is green beans and you multiply it by the circumference to find the length of that arc.