g(n) = 3n³ - 5 h(n) = 2n - 5 (g + h)(2) = g(2) + h(2)
g(2) = 3(2)³ - 5 = 3(8) - 5 = 24 - 5 = 19
h(2) = 2(2) - 5 = 4 - 5 = -1
g(2) + h(2) = 19 + -1 = 19 - 1 = 18
Answer: 18
The pattern here is the number times 3 then plus 1
We can check this by plugging it in.
1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.
We can continue to check this with the rest of our sequence.
4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.
13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.
40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.
We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364
So the next number in the sequence is 364
4 is 120 apples
5 is 30 pounds of ice
People who cook, either professionally or for personal use, use simple algebraic expressions to adjust the ingredients in a dish depending on the number of servings desired. Medical professionals use algebra in a variety of applications, such as determining drug dosage and measuring the performance of body functions, such as cardiac output.
Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
