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WINSTONCH [101]
3 years ago
12

Need help with this ​

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

-5x^2-26

Step-by-step explanation:

(f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26

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If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?
sergey [27]
Sin θ = 2 / 7
tan θ > 0
cos θ = ?

sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?

adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5

cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
6 0
3 years ago
Write 600 as the product of prime factors.<br>Give your answer in index form.<br>​
MAXImum [283]

Answer:

2^3 x 3 x 5^2

Step-by-step explanation:

600/2

300/2

150/2

75/3

25/5

5/5

1

6 0
3 years ago
Read 2 more answers
A student buys a guitar that is on sale for 15% off the regular price of $200. He also must pay an 8% sales tax. What is his tot
EastWind [94]

Answer:

option c

Step-by-step explanation:

a guitar 15% off means that the cost is now 85%

100percent---200dollars\\85percent---x\:dollars\\\\x=\frac{200*85}{100}\\\\x=2*85\\\\x=170

now the 8% of 170 is

100\:percent---170\:dollars\\\\8\:percent---x\:dollars

x=\frac{8*170}{100}\\\\x=\frac{8*17}{10}\\\\x=13.6

so the total cost is

170+13.6

183.6

6 0
2 years ago
15. Which of the following is equivalent to 18 + 42
Veronika [31]
The answer would be the

6(3+7)

6 0
3 years ago
Ashley had a Summer lemonade stand where she sewed small cups of lemonade for $1.25 and large cups for 2.50 if Ashley sold a tot
kkurt [141]
S+L=155
1.25S+2.50L=265
System of equations...
L=110
S=45
8 0
3 years ago
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