Mathematics: H(x) = -(x + 1)(x - 7) What is the maximum height that the ball will reach?

H(x) = -(x + 1)(x - 7) What is the maximum height

genyjoannerubiera

26.01.2022

16 units.

Step-by-step explanation:

To find the vertex, first simplify the quadratic equation into its standard form:

$h(x)=-(x+1)(x-7)\\h(x)=(-x-1)(x-7)\\h(x)=-x^2+6x+7\\$

Using this formula, we can then find the axis of symmetry by using the formula S = -b/2a:

$S=\frac{-6}{-2}$

The axis of symmetry lies on x = 3.

You can then substitute x for 3 in the equation to find the vertex of the parabola:

$h(3)=-9+18+7\\h(3)=16$

The ball will be 16 units high after travelling 3 units horizontally. This is the maximum height the ball will reach before falling.

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brennarfa

04.02.2020

Yes, Rob can use 2 × 5 for multiplication of 4 × 5.

Step-by-step explanation:

We are given the following information in the question:

Rob can use 2 × 5 for multiplication of 4 × 5.

It can be used in the following manner:

$4\times 5\\= (2\times 2)\times 5\\\text{By associative property of multiplication}\\= 2\times (2\times 5)\\= 2\times 10\\=20\\=4\times 5$

Hence, Rob can do the multiplication in this way.

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