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aleksklad [387]
2 years ago
14

3. Find the value of x that makes a||b. 9x - 44 6x + 10 b A. 18 B. 14.4 15 C. 911 15 D. 6​

Mathematics
1 answer:
bazaltina [42]2 years ago
7 0
Answer is A. 18

EXPLANATION-

Its Simplifying
(9x + -44) = (6x + 10)

Reorder the terms:
(-44 + 9x) = (6x + 10)

Remove parenthesis around (-44 + 9x)
-44 + 9x = (6x + 10)

Reorder the terms:
-44 + 9x = (10 + 6x)

Remove parenthesis around (10 + 6x)
-44 + 9x = 10 + 6x

Solving
-44 + 9x = 10 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-44 + 9x + -6x = 10 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-44 + 3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-44 + 3x = 10 + 0
-44 + 3x = 10

Add '44' to each side of the equation.
-44 + 44 + 3x = 10 + 44

Combine like terms: -44 + 44 = 0
0 + 3x = 10 + 44
3x = 10 + 44

Combine like terms: 10 + 44 = 54
3x = 54

Divide each side by '3'.
x = 18

Simplifying
x = 18
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vodka [1.7K]
The average rate of change for the function f(x) can be calculated from the following equation
\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }

By applying the last formula on the given equations 
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ \frac{\pi}{2} }  =  \frac{4}{\pi}

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = \frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ 
\frac{\pi}{2} }  =  \frac{4}{\pi}

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
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∴ The average rate of h = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi -  \frac{3 \pi}{2} } =  \frac{1-(-5)}{ \frac{\pi}{2} }=  \frac{6}{ 
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By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>
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Step-by-step explanation:

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Step-by-step explanation:

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