Hey there!
A common ratio is just that number that you multiply or divide to each number that gets you the next in a geometric sequence. In this sequence, we know the numbers are getting bigger and we're multiplying, so we want to know what you're multiplying by the first number to get to the second. We can call this unknown number x. SO if we start with the first number and set up an equation, we get:
3x = 12
Divide both sides by 3
x = 4
Therefore, your common ratio is 4.
To check, you can multiply all the next numbers by 4 to see that it all checks out.
Hope this helps!
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
Those are vertical angles,so they are equal
150=5m
m=150/5
m=30
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
Answer:
<em>Yes</em>
Step-by-step explanation:
g(x) = - 
x +
y = - x + ....... <em>(1)</em>
<em>(1)</em> × 4
4y = - x + 1
x = - 4y + 1
y = - 4x + 1
f(x) = - 4x + 1
∴ f(x) and g(x) <em>are inverses</em>
