Answer:
Result at time x = 4 seconds the soccer ball hit the ground.
Step-by-step explanation:
At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.
So lets see after how many second (x) the height = 0 once again.
f(x) = 8x-2x^2
f(x) = 0
8x - 2x^2 = 0
Try to write the formula in two terms
-2x * (x - 4) = 0
When a product of two or more terms equals zero, then at least one of the terms must be zero.
Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.
Any solution of term = 0 solves product = 0.
Solve the first term:
-2x = 0
Multiply left an right from the = singn with the factor -1 gives this outcome:
2x = 0
x = 0
Solve the second term:
x-4 = 0
x = 4
Result at time x = 4 seconds the soccer ball hit the ground.
x = 4
x = 0
Answer:
It gets smaller.
Step-by-step explanation:
You can multiply by 8 to put the equation in the form ...
... b = 48/a
which is the form indicating <em>b</em> is inversely proportional to <em>a</em>. Thus, when <em>a</em> increases, <em>b</em> decreases, and vice versa.
Answer:
see below
Step-by-step explanation:
A graphing calculator can help you do this.
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The function crosses the y-axis where x=0.
g(0) = -5^0 +5 = -1 +5
g(0) = 4
The function crosses the x-axis where g(x) = 0
0 = -5^x +5
5^x = 5 = 5^1
x = 1
g(1) = 0
The points of interest are (0, 4) and (1, 0).
Answer:
30cm
Step-by-step explanation:
Assuming that the thickness of the books is 2cm (This is a reasonable assumption, as books are almost always longer and wider than they are thick, and assuming that the books are stacked flat on top of one another, faces up or down, and not sideways, the question becomes 'What is the height of 15 books stacked on top of one another, if each book is 2cm thick?' The answer to this question is 15*2 or 30.
If the garden is a true square, then all 4 sides are the same length.
The area of a square is equal to length^2
If we find the square root of 169, we can find the length.
√169 = 13
Each length of the square is 13 feet.
