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Len [333]
3 years ago
6

Determine the zeros of the function f(x) = 3x^2 -7x+1

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0
I will use the quadratic formula.

\text{The zeros of function:}\ f(x)=0\\\\f(x)=3x^2-7\\\\f(x)=0\to3x^2-7x+1=0\\\\a=3;\ b=-7;\ c=1\\\\b^2-4ac=(-7)^2-4\cdot3\cdot1=49-12=37\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-(-7)-\sqrt{37}}{2\cdot3}=\dfrac{7-\sqrt{37}}{6}\\\\x_2=\dfrac{-(-7)+\sqrt{37}}{2\cdot3}=\dfrac{7+\sqrt{37}}{6}

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Tickets at a school play cost $4 in advance or $5 at the door. Total ticket sales for an evening production were $440. If no tic
lisov135 [29]
5x=440
×=the number of tickets sold

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3 years ago
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marta [7]

Answer:

Step-by-step explanation:

Angle 5 is opposite to 37 => It's equal to 37.
Angle 6 and 7 are supplementary to angle 5 => They are equal to 180 - 37 = 143 each.

Angle 4 is corresponding to Angle 7, and since the 2 lines are parallel, it's equal to 143.

Angle 1 and 3 is supplementary to Angle 4, so they are equal to 180-143 = 37 each

Angle 2 is opposite to Angle 4, so it's equal to 143.


Answer : Angle 1,3,5 = 37
Angle 2,4,6,7 = 143

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3 years ago
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Answer:

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Step-by-step explanation:

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The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $140/month for their trip. If they depos
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Answer:

(a)$5805.21

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Most Expensive Mortgage =$152032.77

Step-by-step explanation:

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F.V.=\dfrac{P[(1+i)^{kn}-1]}{i}

The Pirerra's Monthly Payments=$140

Annual Rate =9.5%

Therefore: Monthly Rate=0.095/12

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F.V.=\dfrac{140[(1+\frac{0.095}{12} )^{3*12}-1]}{\frac{0.095}{12} }=\$5805.21

(b)For the Johnsons, Present value of Mortgage is derived using the formula:

\Text{Present Lump Sum}, A_0=\dfrac{P[1-(1+i)^{-kt}]}{\frac{r}{k} }

At $1000 Monthly payment

\Text{Present Lump Sum}, A_0=\dfrac{1000[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$104640.59

Adding  a down payment of $16000

  • Least Expensive Mortgage = 104640.59+16000=$120640.59

At $1300 Monthly Payment

\Text{Present Lump Sum}, A_0=\dfrac{1300[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$136032.77

Adding  a down payment of $16000

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4 0
3 years ago
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love history [14]

Answer: for a sum of 7 would either be 6 and 1, 5 and 2 or 4 and 3. you can roll a double 1,2,3,4,5,6. the sum of 8 would be 2 and 6, 3 and 5 and a double 4,

Step-by-step explanation:

well the there are six sides on a die so 6 x 2 is 12 so the max sum you can get is 12. So you take 7 and you start adding up to 7, same thing for sum of 8. since there is 6 sides and a pair of dices you will roll six doubles

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