I'll do #6.
The axis of symmetry is the x-coordinate of the vertex, which in this case, is (0,-4). So the axis of symmetry is x=0.
The vertex is in the above answer. Since this is a quadratic function, there are no boundaries, the domain is All Real Numbers.
The range goes up forever <em>from </em><em>the vertex. </em>The vertex is (0,-4), so, the minimum y value is -4. The range is y is greater than or equal to -4, or in interval notation: [-4,infinity]
Hope this helps!
Answer:
R theta 1 = 20 x
R theta 2 = 11 x - 6
R ( theta 1 + theta 2) = 31 x - 6 adding equations
R pi = 31 x - 6 since theta 1 + theta 2 = 180 deg
x = (R pi + 6) / 31
This equation depends only R
If one lets R be one then x = (pi + 6) / 31
This would give x = .29489 rad for the value of pi is deg
The numerical value of x appears to depend on the value of R
Answer:
Step-by-step explanation:
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
Step-by-step explanation:
the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)
= (3,14 ×16)+(196)
= 50,24 +196
= 246,24
= 246,2
Answer:
see explanation
Step-by-step explanation:
(a)
4 × 4 = 4²
(b)
5 × 5 × 5 × 5 = 
(c)
3 × 7 × 7 × 7 × 7 = 3 × 
(d)
2 × 9 × 9 × 9 × 2 × 9 ← rearrange
= 2 × 2 × 9 × 9 × 9 × 9
= 2² × 