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: 63
Step-by-step explanation:
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- The first page can be represented by 2n
(Note : We know for certain it is an even number as anything multiplied by 2 is even)
The second page can be represented by 2n + 2
Let's form an equation:
2n + 2n + 2 = 410
Simplify by collecting like terms :
4n + 2 = 410
Subtract 2 from both sides :
4n = 408
Divide both sides by 4:
n = 102
Substitute this value into our earlier expressions
2(102) = 204
2(102) + 2 = 206
The page numbers are 204 and 206
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Maybe try letter d that looks like it will fit into the triangle well
