Answer:
<em>0.5 < x < 15.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
Answer:
The Loan with the lowest annual percentage rate (APR)
Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000
Since the catering fee of $150 is waived, we do not consider this figure in our analysis
There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.
Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:
80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)
80X = 8000
8X = 800
X =100
Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget
The answer is 12y^2 + 2y - 5
The solution:
(72y^3 + 12y^2 - 30y) / 6y =
(6y)*(12y^2 + 2y - 5) / 6y = 12y^2 + 2y - 5
