Answer:
a)<em> k(x) = 5x - 2</em>
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
<u>k-¹(x) = (x+2)/5</u>
b) <em>h</em><em>(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>(</em><em>x</em><em>+</em><em>1</em><em>0</em><em>)</em><em>/</em><em>(</em><em>x</em><em>-</em><em>3</em><em>)</em><em> </em>
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
<u>h-¹(x) = (3x+10)/(x-1)</u>
Answer:
C. the cylinder because it has approximately 11.6 less wasted space than the prism.
Step-by-step explanation:
A function assigns the values. The sum of the two function will be equal to 3[√(x-3) + 5].
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=√(x-3) and g(x)=[√(4x-12)]+15, therefore, the sum of the two function will be written as,
![= \sqrt{x-3} + \sqrt{4(x-3)}+3(5)\\\\ = \sqrt{x-3} + 2\sqrt{(x-3)}+3(5)\\\\= 3\sqrt{(x-3)}+3(5)\\\\ = 3[\sqrt{(x-3)}+5]](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7Bx-3%7D%20%2B%20%5Csqrt%7B4%28x-3%29%7D%2B3%285%29%5C%5C%5C%5C%20%3D%20%5Csqrt%7Bx-3%7D%20%2B%202%5Csqrt%7B%28x-3%29%7D%2B3%285%29%5C%5C%5C%5C%3D%203%5Csqrt%7B%28x-3%29%7D%2B3%285%29%5C%5C%5C%5C%20%3D%203%5B%5Csqrt%7B%28x-3%29%7D%2B5%5D)
Hence, the sum of the two function will be equal to 3[√(x-3) + 5].
Learn more about Function:
brainly.com/question/5245372
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Answer:
q = 36/7 or 5 1/7
Step-by-step explanation:
q · 7/9 = 4
Multiply each side by 9/7
q · 7/9 *9/7 = 4*9/7
q = 36/7
If we want it as a mixed number instead of an improper fraction
7 goes into 36 5 times with 1 left over
q = 5 1/7
the nine is located in the tenths position
