Answer:
x > 4
Step-by-step explanation:
Calling x the number of days Rita needs to bake the total amount of cakes, then inequality is x*8 > 32. Because she has orders for more than 32 cakes and can make 8 cakes per day. Dividing by 8 every side of the inequality gives: x > 4. Graph of the solution is attached (notice that 4 is not included).
Answer:

Step-by-step explanation:
X^3 - 14x^2 + 49x = 0
Factor an x out:
x(x^2 - 14x + 49) = 0
Find two factors of 49 that add to -14 (-7 and -7). Convert the trinomial to two binomials:
x(x - 7)(x - 7) = 0
The zeros are:
x = 0 and x = 7.
7 occurs as a zero twice and therefore has a multiplicity of 2.
X=8 would you like me to explain why?
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

Here:

Thus,



Therefore, the mid-point between the endpoints (10,5) and (6,9) is: