3 years ago

Factor and simplify- 25x^{2} -1

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

It is already factored and simplified enough (-25x^2-1).

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A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n

algol [13]

Alright.
So let's say the number of adults is x.
Therefore, the number of boys is 7x + 1.
And then the total amount of girls is 3.5x + 0.5
So then:
x + 7x + 1 + 3.5x + 0.5 = 82
11.5x + 1.5 = 82
11.5x = 80.5
x = 7
So now we can figure out the number of male and female students.
Male students = 7x + 1
7*7 + 1
49 + 1
50
Male Students = 50
Female students = half of 50
50/2 = 25
Female Students = 25

4 0

3 years ago

Solve 4sin^2 x-3=0 find two values of sinx that satisfy this equation

Leviafan [203]

$4 sin^{2} x-3=0 \\ 4 sin^{2} x=3 \\ sin^{2} x= \frac{3}{4} \\ sinx= \pm \sqrt{ \frac{3}{4} } \\ sinx= \frac{ \sqrt{3} }{2} \ or \ sinx=- \frac{ \sqrt{3} }{2} \\ x= \frac{ \pi }{3} , \ \frac{2 \pi }{3} , \ \frac{4 \pi }{3} , \ \frac{5 \pi }{3}$