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3 years ago

Function or not a function

Mathematics

2 answers:

Aliun [14]3 years ago

6 0

Answer:

not a function

Step-by-step explanation:

Norma-Jean [14]3 years ago

3 0

It’s not a function it fails the vertical line test

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2 years ago

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4 years ago

Pls help ILL MARK BRAINLIEST

kozerog [31]

Answer:

a) Height of the ledge is 1.6 m.

b) roots of the equation are: $\bf d = 2$ , $\bf d = -1$

c) Maximum height reached = 1.8 m.

Step-by-step explanation:

a) The height of the ledge is the same as the height at which Jake is when he hasn't moved any horizontal distance from the ledge yet, that is, when d = 0:

$h = -0.8(0)^2 + 0.8(0) + 1.6$

⇒ $\bf h = 1.6 \space\ m$

∴ Height of the ledge is 1.6 m.

b) The x-intercepts occur where y = 0, that is when h = 0:

$-0.8d^2 + 0.8d + 1.6 = 0$

Divide both sides of the equation by -0.8:

$d^2 - d -2 = 0$

Factorizing:

⇒ $d^2 -2d + d - 2 = 0$

⇒ $d(d-2) +1 (d-2) = 0$

⇒ $(d-2)(d+1) = 0$

⇒ $d - 2 = 0$ or $d + 1 = 0$

∴ roots are : $\bf d = 2$ , $\bf d = -1$

c) To find the maximum value of a quadratic equation in the form

y = ax² + bx + c , use the formula:

max = c - (b² / 4a).

Using the formula for $h = -0.8x^2 + 0.8x + 1.6$ :

max h = $1.6 - ( \frac{0.8^2}{4(-0.8)} )$

= 1.8

∴ Maximum height reached = 1.8 m.

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2 years ago

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