The formula to find the sum of the first n terms of our sequence is n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
Answer: A) y = 6x +3
Step-by-step explanation:
Let x represent the number of hours. $6 per hour can now be written as 6x.
Now, we must account for the $3 flat, fee and add it to 6x, getting 6x + 3
Answer:
Step-by-step explanation:
Let base be b, height be h
h = 7+b or we can say that b = h -7
A = 15 cm²
General formula for area of a triangle
A = b · h
Substitute what we know to find the height h
15 = (h-7) · h
15 = h² -7h
0 = h²-7h -15
h = (7 ±√49 + 4·1·15)/2
h = (7 ±√109)/2
h ≈ -1.72 reject this solution because height cannot be negative
h ≈ 8.72 cm
Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality 
First, draw the dotted line 
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality 
First, draw the solid line 
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
