What is the y intercept of the quadratic function f(x)=(x-8)(x+3)

1 answer:

3 0

$f(x)=ax^2+bx+c\\\\\text{The y-intercept}\ (0;\ c)\\\\f(x)=(x-8)(x+3)=(x)(x)+(x)(3)-(8)(x)-(8)(3)\\\\=x^2+3x-8x-24=x^2-5x-24\\\\Answer:\ C)\ (0;\ -24)$

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F(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)

Sergio039 [100]

Answer:

$(f-g)(x) = -12x^{2} - 8x + 9$

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

$f(x) = -9x^{2} - 2x$

$g(x) = 3x^{2} + 6x - 9$

(f-g)(x)

$(f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9$

(f-g)(-4)

$(f-g)(x) = -12x^{2} - 8x + 9$

We replace x by -4

$(f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151$

(f-g)(-4) = -151

5 0

3 years ago

How many minutes will it take five people to stack 250 chairs if each person can stack 20 chairs a minute

maria [59]

250/5 = 50.....so each person is stacking 50 chairs...

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3 years ago

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16. A can in the shape of a cylinder has a diameter of 6 centimeters

sladkih [1.3K]

Answer:

surface area = 245.04 cm² (nearest tenth)

Step-by-step explanation:

Surface area of a closed cylinder = $2\pi r^2+2\pi rh$