Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Answer:
6 pizzas
Step-by-step explanation:
At least 10 and fewer than 20 makes it 10-19
So,
10-19 => 6 pizzas
6 pizzas have at least 10 pieces of pepperoni but fewer than 20 pieces of pepperoni.
The answer for f(x)-g(x) is 
.The solution can be obtained by use of concept of functions.
<h3>What is a function?</h3>
A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.
We can perform addition and subtraction operations on functions.
The given function f(x) and g(x) are
The solution for f(x)-g(x) is .
To know more about functions visit:
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Answer:
2175
Step-by-step explanation:
y = k sqrt(x)
x = 625
y = 87
87 = k * sqrt(625)
87 = k * 25
87/25 = k
k = 3.48
y = 3.48 * sqrt(390625)
y = 3.48 * 625
y = 2175
Answer:
The GCF of 12 and 28 is 4
hope it helpsss
