Relationship a is defined by the equation y=9x some values of relationship b are (0,0)(3,34.5)(5,57.5)(8,92) both relationships have a direct proportion between x and y. The rate of change of relationship b is how many units greater then the rate of change of relationship a

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'.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: