Answer:
Step-by-step explanation:
Cameron, Eliot, Ryan and Ava can ride as their height is more than or equal to 54
Answer:
<h2>x < 2</h2>
Step-by-step explanation:
Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.
Step 1: Divide by 5
x < 2
Step 2: Check
5(1) < 10
5 < 10✔️
Step 3: Check Again
Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.
5(-6) < 10
-30 < 10✔️
Step 4: Verified Answer
x < 2
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Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
Answer:
f(g(x)) = 12x - 37
Step-by-step explanation:
Step 1: Define
f(x) = 6x + 5
g(x) = 2x - 7
Step 2: Find f(g(x))
f(g(x)) = 6(2x - 7) + 5
f(g(x)) = 12x - 42 + 5
f(g(x)) = 12x - 37