Answer:
Step-by-step explanation:
A quadratic equation can be factorised if and only if there are rational roots.
For any quadratic equation the discriminant decides about the nature of roots.
Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.
In the given equation

Since 1 is a perfect square we can factor and solve

Answer:
Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with <em>d</em> being how many gigabytes she uses per month.
Step-by-step explanation:
We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be <em>d</em> therefore <em>d</em> is how many gigabytes she uses per month.
Answer:
10
Step-by-step explanation:
Answer:
Rounded to a whole number, the player has 12 bonus stars.
Step-by-step explanation:
Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :
0.21 million = 210,000
210,000 / 1,333 x 3 = Levels
472.6 = Levels
Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:
472.6 / 38 = X
12.43 = X
Thus, rounded to a whole number, the player has 12 bonus stars.