Answer:
Step-by-step explanation:
(8x-3)^2-x^2
64x^2-48x+9-x^2
63x^2-48x+9
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Answer: 8 more girl toys than boy toys
Step-by-step explanation:
First you need to find out how many of the toys are for boys and girls.
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80 * 40 = 80 * 0.4 = 32
32 toys are for boys
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80 - 32 = 48
48 toys are for girls
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Now find 50% of the boy and girl toys.
32 * 50% = 32 * 0.5 = 16
48 * 50% = 48 * 0.5 = 24
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Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.
24 - 16 = 8
Answer:
2 real solutions
Step-by-step explanation:
We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:
b² - 4ac
If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.
Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:
b² - 4ac
(-20)² - 4 * 6 * 1 = 400 - 24 = 376
Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.
<em>~ an aesthetics lover</em>
