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3 years ago

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

1 answer:

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

then you woukd just divide 440÷5=88
88 tickets were sold at the door

4 0

3 years ago

Read 2 more answers

Determine the measure of each angle using the picture below. Assume the two lines are parallel.

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

8 0

3 years ago

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blagie [28]

Answer:

63 1/2 I think

Step-by-step explanation:

I hope this helps :)

3 0

3 years ago

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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

Natalka [10]

Answer:

(a)$5805.21

(b)Least Expensive Mortgage =$120640.59

Most Expensive Mortgage =$152032.77

Step-by-step explanation:

The future value of an ordinary annuity with deposits P made regularly k times each year for n years, with interest compounded times k per year at an annual rate r, is given as:

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

The Pirerra's Monthly Payments=$140

Annual Rate =9.5%

Therefore: Monthly Rate=0.095/12

Years, n=3

Period, k=12

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

(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

Most Expensive Mortgage = 136032.77+16000=$152032.77

4 0

3 years ago

Two dice are rolled. Define the events as follows: A : sum of 7, B : doubles, C : sum of 8

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

5 0

3 years ago