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JulsSmile [24]
2 years ago
9

What are the zeros of the quadratic function f(x) = 6x^2 + 12x – 7?

Mathematics
1 answer:
irinina [24]2 years ago
3 0
<span>6x^2 + 12x – 7 = 0

Use the quadratic formula:

x=  \frac{-b +/-  \sqrt{b^2 -4ac} }{2a}

\frac{-12+/- \sqrt{ 12^{2} -4(6)(-7)} }{12} = \frac{-12+/-17.66}{12}

x = 0.47 and x = -2.47
</span>
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Answer:

The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars

Step-by-step explanation:

Make a system of equations for the two days that the play was shown.

Let x = the price of an adult ticket

Let y = the price of a student ticket

For the first day:

<h3>9x+8y=164</h3>

For the second day:

<h3>2x+7y=73</h3>

Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.

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8 0
2 years ago
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Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL
Bond [772]

At the bottom of the composite figure we have half a sphere, of radius 10 in.

The volume of this hemisphere would be half the volume of the full sphere, or:

(1/2)(4/3)π(10 in)^3, or (2/3)π(1000 in^3), or (2000/3)π in^3.

On top is the cone of radius 10 and slant height 15 in. To find the volume of this cone-shaped solid, we'll need the height of the cone. This can be found using the Pyth. Thm. as follows:

15^2 = 10^2 + h^2, where h is the height of the cone.

225 = 100 + h^2, so that h= √125, or 5√5. The height of the cone is 5√5 in.

Then the volume of the cone is V = (1/3)(base)(height)

= (1/3)(π)(100 in^2)(5√5 in)

= 500√5/3(π) in^3


The total volume of the composite solid is then

(2000/3)(π in^3) + ( 500√5/3(π) ) in^3), or

(π/3)(4+√5) in^3. This comes out to 6.53 in^3, to the nearest hundredth.

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2 years ago
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Inessa [10]

Answer:

\sqrt{1060}=32.55..... or 32.6

Step-by-step explanation:

\sqrt{(-13-19)^2+(10-16)^2}

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7 0
3 years ago
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eimsori [14]

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

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15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

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2 years ago
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