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2 years ago

F(x)=4x^2+4x-15 Write the function D in intercept form. Use this form to list the zeros of the function.

Mathematics

1 answer:

valentinak56 [21]2 years ago

8 0

Answer:

Zeros are x = 1.5, -2.5

Step-by-step explanation:

Given function is,

F(x) = 4x² + 4x - 15

= 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]

F(x) = 4(x² + 2.5x - 1.5x - 3.75)

= 4[x(x + 2.5) - 1.5(x + 2.5)]

= 4(x - 1.5)(x + 2.5)

For 'x' intercepts,

f(x) = 0

4(x - 1.5)(x + 2.5) = 0

x = 1.5, -2.5

Therefore, zeros of the given function are x = 1.5, -2.5.

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Read 2 more answers

Graph by using the slope and the y intercept.

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1. a) equation of the line :

$y = \dfrac{2}{5}x - 7$

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

$y = (\dfrac{2}{5} \times 5) - 7$

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so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

$y = - 3x + 5$

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now, Plugging the value of x = 1 we get :

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plotting the points, we can get our required line.

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