Answer:
The rate of change of relationship 'b' is 2.5 times greater than the rate of change of relationship 'a'
Step-by-step explanation:
The given parameters are;
The function representing relationship 'a' is y = 9·x
Some values of relationship 'b' are;
(0, 0), (3, 34.5), (5, 57.5), and (8, 92)
For direct proportionality of relationship 'b' we have;
y = k₂·x
∴ k₂ = y/x
∴ k₂ = 34.5/3 = 23/2
57.5/5 = 23/2
92/8 = 23/2
k₂ = 23/2
Therefore, the direct proportionality relationship of relationship 'a' is y = 9·x
∴ k₁ = 9
Therefore, the rate of change of relationship 'b' is k₂ - k₁ = (23/2) - 9 = 2.5 times greater than the rate of change of relationship 'a'.
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
f(x) = 6x² + 3
To find the inverse of the function above equate it to y
That's
f(x) = y
So we have
y = 6x² + 3
Next interchange the variables that's x becomes y and y becomes x.
x = 6y² + 3
Next make y the subject
<u>Subtr</u><u>act</u><u> </u><u>3 </u><u>from</u><u> both sides</u>
That's
6y² + 3 - 3 = x - 3
6y² = x - 3
<u>Divide both sides by 6</u>
That's
<h3>
</h3>
<u>Next find the square root of both sides</u>
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:-9
Step-by-step explanation:
Answer:
<u>Equation of a circle:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center and r- radius
<u>Substitute the given values to get the equation of this circle:</u>
- (x - (-5))² + (y - (-9))² = 7² ⇒
- (x + 5)² + (y + 9)² = 49