If ƒ(x) = 15x + 7 and g(x) = x2 – 5x, find (ƒ + g)(x).
1 answer:
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Answer:
x = - 3 ±
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
<h2>Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:
In fact, the volume is because:
Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:
So the new volume is:
<em>Well, the volume has increased from </em> <em>and since</em>
<em>we can say that the new volume is two times the original volume.</em>