Step-by-step explanation:
(f+g)(x) means we just add the 2 functions, so we have
(x-3) + 2x² = 2x² + x - 3
(f-g)(x) means we subtract g(x) from f(x), so we have
(x-3) - (2x²) = -2x²+x-3
Assuming that the dot signifies a multiplication sign and not a composition sign, we have
(f*g)(x) = f(x) * g(x)
= (x-3) * 2x²
= 2x³ - 6x²
Plugging -2 in, we get
2(-2)³-6(-2)² = -16 -24 = -40
Answer: The answer is 19
Step-by-step explanation:
The 65 tens blocks can be solved by doing 65x10 which is 650. the 7 ones blocks can be solved by 1x7 which is 7 so you then add up 650 and 7 to get a grand total of 657
The maximum height of the ball is found at 64 feet
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Explanation:</h2>
Hello! remember to write complete and clear questions in order to get good and exact answers. I've found a similar question so I have written it in a comment above. We know that h(t) models the height, in feet, of a ball that is kicked into the air where t is given as time in seconds. This equation follows a quadratic function so from math we know that the maximum or minimum of this type of functions is found at the vertex of its graph. So:

Finally, the maximum height of the ball is found at 64 feet
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Learn more:</h2>
Volume of a box: brainly.com/question/10501080
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Answer:
Required equation is
.
Step-by-step explanation:
Given,
Height of the tree=5x+6
Distance from feet of the tree=2x-4
To find straight distance from feet of Madeline to top of the tree.
Let the tree as y-axis and distance from base along x-axis. Then the distence of straight line from foot of Madeline to top is become the hypotenuse of the triangle. Thus if we let,
Distance from feet of Madeline to top of tree= p, then, according to law of finding third side of a triangle we get,


Hence the result.