C) f(x) = -1/2 sin x is the answer.
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
Answer:
D; D
Step-by-step explanation:
The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant
The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.
Answer:
51
Step-by-step explanation:
Divide 153 by 3 and you get 51
We can set up 2 equations given the information.
Let the price of advance ticket be represented by A and same day ticket by S
A + S = 50
20A + 40S = 1700
Solve for A in the first equation by subtracting S on both sides.
U will get A = 50 - S
Now substitute 50 - S for A in the second equation.
20 (50 - S) + 40S = 1700
1000 - 20S + 40S = 1700
20S = 700
S = 35
Same day ticket costs $35 and advance ticket costs $15
