Answer:
y = 15
Step-by-step explanation:
Given: y varies directly with x, x=4 when y=20
To find: y when x = 3
Solution:
As y varies directly as x, it means that as x increases, y also increases by the same factor.
As y varies directly with x,
Here, k is a constant
As x = 4 when y = 20,
Put x = 3
Answer:
4. 21
5. 32
Step-by-step explanation:
First question:
sin(x) = opp/hyp = 22/63 = 0.3492
x = sin⁻¹(0.3492)
20.43. Rounded to the nearest degree, it would be 21.
Second question:
sin(x) = opp/hyp = 18/34 = 0.5294
x = sin⁻¹(0.5294)
31.96. Rounded to the nearest degree, it would be 32.
Let me know if you have any problems.
Answer:
A
Step-by-step explanation:
A is an arithmetic sequence with first term -2 and common difference 5. Each new term is found by adding 5 to the previous term.
B is a geometric sequence with first term 1 and common ratio 1/2.
C is neither an arithmetic nor a geometric sequence.
D is neither. We might call it an "alternating sequence."
Answer:
Step-by-step explanation:
From table 1,
f(x) = bˣ
For x = -1,
f(-1) = 0.5
0.5 = (b)⁻¹
b = 
b = 2
For x = 1.585,
f(1.585) = 3
3 = 
3 = 
For x = 2.585,
f(2.585) = 
= 
= 4 × 1.5 [Since, ]
= 6
From table 2,
g(x) = 
For x = 0.5,
g(0.5) = -1
-1 = 
b⁻¹ = 0.5
b = 2
For x = 2,
g(2) = 1
1 = 
For x = 6,
g(6) = 2.585
2.585 = 
2.585 = 
2.585 = 
2.858 - 1 = 
For x = 3,
g(3) =
g(3) = 1.585
Answer:
-11 + 4
Step-by-step explanation:
When you subtract a negative the sign will switch to plus, so it this case you would switch the - (-4) to a + 4 but you don't change the -11 at the front.
