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2 years ago

Thre graph of a polynomial f(x)=(2x-3)(x-4)(x+3) has x-intercepts at 3 x values. what are they?

Mathematics

1 answer:

ipn [44]2 years ago

7 0

Answer:

3/2, 4 and -3.

Step-by-step explanation:

f(x)=(2x-3)(x-4)(x+3) = 0 at the x-intercepts.

So 2x-3 = 0, so x = 3/2

x-4=0, so x = 4

x+3=0, so x=- 3.

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3 years ago

A shirt that regularly sells for $20 is marked down by 30%. What is the new price of the shirt?

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Answer:

$14

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Hope this helps, have a nice day :D

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2 years ago

Read 2 more answers

The owner of a bike shop that produces custom built bike frames has determined that the demand equation for bike frames is given

o-na [289]

Answer:

equilibrium point (10,340)

Step-by-step explanation:

To find the equilibrium point, equal the demand and the supply:

$D(q)=S(q)\\\\-6.10q^2-5q+1000=3.2q^2+10q-80$

Reorganize the terms in one side and reduce similar terms:

$3.2q^2+6.1q^2+5q+10q-80-1000=0\\\\9.3q^2+15q-1080=0$

that's a cuadratic equation, solve with the general formula when:

a=9.3, b=15, c=-1080

$q_{1}=\frac{-b+\sqrt{b^{2}-4ac} }{2a}\\\\q_{2}=\frac{-b-\sqrt{b^{2}-4ac} }{2a}\\\\q_{1}=\frac{-15+\sqrt{(-15)^{2}-4(9.3)(-1080)} }{2(9.3)}\\\\q_{1}=\frac{-15+201}{18.6}\\\\q_{1}=\frac{186}{18.6}\\\\q_1=10$

q can't be negative because it is the quantity of bike frames, so:

$q_{2}=\frac{-b-\sqrt{b^{2}-4ac} }{2a}\\\\q_{2}=\frac{-15-\sqrt{(-15)^{2}-4(9.3)(-1080)} }{2(9.3)}\\\\q_{2}=\frac{-15-201}{18.6}\\\\q_{2}=\frac{-216}{18.6}\\\\$