Convert y = 8x^2-80x-32 to vertex form by completing the square. ​

Answer:

12(2x-1)

Step-by-step explanation:

24x - 12

Factor out a 12 from each term

12*2x -12*1

12(2x-1)

Answer:

[tex]12(2x - 1)[/tex]

Step-by-step explanation:

[tex]24x - 12[/tex]

Factor out a 12 from each

[tex]24x - 12 \\ 12(2x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4π

Step-by-step explanation:

find the circumference first

2π r

2π 8=16π

then find the arc length

16π  * 1/4

4π

Answer:

68.8 Inches, 5.73 Ft.

Step-by-step explanation:

To find out how many inches tall the horse is, divide 17 1/5 by 1/4. You will get 68.8 inches. To convert that to feet, divide it by 12. that would be 5.7333... Ft, so you will probably need to round it to just 5.73.

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Question:

Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?

Answer:

3 + 2i

Step-by-step explanation:

Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)

[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)

The complex number representation of [tex]\sqrt{-1} = i[/tex]  and [tex]\sqrt{4} = 2[/tex]

Make these substitutions into equation ( 2)

[tex]y = 3 +2i\\[/tex] is in the form a + bi

Where a = 3 and b = 2

Answer:

Try using estimation.

Make sure you don't start with the y-axis first.

I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.

Step-by-step explanation:

Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.

Answer:

C

Step-by-step explanation:

Answer:

(a). Range is 6 (b). Mode is 5.75

Step-by-step explanation:

Finding range: Subtract the smallest value (2) from the largest value (8).

Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.

Answer:

Step-by-step explanation:

From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:

= $16/6

= $2.67

1 audio cassette will cost $2.67

The amount of money spent will depend on the number of audio cassettes. Therefore,

m = $2.67 × n

m = $2.67n

where n = number of audio cassette

The amount of money he'll pay for 9 cassette will be:

m = $2.67n

m = $2.67 × 9

m = $24.03

Answer: The correct answer for this question is $6.55

Step-by-step explanation:

Hope this helps

Answer:

28.75

Step-by-step explanation:

Answer:

" Expected Payoff " - $ 12.30

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]

[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]

[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]

Answer: x=-0.792

Step-by-step explanation:

For this problem, you want to get like terms onto one side, then solve for x.

[tex]\frac{1}{25}=5x+4[/tex]

[tex]-\frac{99}{25} =5x[/tex]

x=-0.792

Answer:  56

Step-by-step explanation:

There are 8 pieces of fruit to choose from.

When you choose the next piece, there are only 7 pieces remaining to choose from.

First pick    and     Second pick

     8             x         7 remaining   =   56

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]

Step-by-step explanation:

A temperature falls from 0 to  [tex]- 12\dfrac{1}{4}[/tex]     in     [tex]3\dfrac{1}{2} \ hours[/tex]

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  [tex]- 12\dfrac{1}{4}[/tex]  

The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]

[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]

[tex]\Delta T = -12.25[/tex]

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]

x° =  - 3.5

x° = [tex]- 3\dfrac{1}{2}[/tex]

Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]

Answer:

Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction

Step-by-step explanation:

A

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

Answer:

30pages

Step-by-step explanation:

20 is 2/3 so 10 is 1/3 so 3/3 is one book

Answer:

30 pages

Step-by-step explanation:

Answer:

80 ft (b)

Hope it helps

Step-by-step explanation:

Circumference= π * diameter

Since the circumference is given..

250 = πd

d = 250/π

= 250/3.14

= 79.6

= 80 feet approx

Start with the point-slope formula, shown below in bold.

Our point which in this case is (6, 8) represents (x1, y1) in our formula.

~Substitute

Y - 8 = -2(x - 6)

I will be writing this equation in standard form.

First distribute the -2 through the parentheses.

This gives us y - 8 = -2x + 12.

Next we would move the -8 to the right side of the equation

by adding 8 to both sides to get y = -2x + 20.

Finally we move our x term to the left side of the equation

by adding 2x to both sides and our answer is 2x + y = 20.

Answer:

C

Step-by-step explanation:

Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.

Brooke: 1 hr 45 min

We know that there are 60 minutes in 1 hour, so we essentially have:

60 min and 45 min  ⇒  60 + 45 = 105 min

Lamont: 115 min

This is already in minutes, so we don't have to do anything to it.

We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:

- Since we know Brooke took 105 minutes, we can eliminate A and B.

- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race

- If Brooke took less time, that means she's faster.

Thus, the answer is C.

~ an aesthetics lover

Answer:

Time taken by Brooke = 1h 45min

= 60min + 45min

= 105min

Time taken by Lamont = 115min

Brooke finished in 105min, so she was faster.

Option 3 is correct.

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{0.01}{0.1}[/tex]

[tex]r=0.1[/tex]

Perpendicular slopes multiply to -1, so are negative reciprocals.

-1 / -3 = 1/3

Answer: B.  1/3

Answer: 53 c

Step-by-step explanation:

If 8 oranges cost 60c

7 oranges will cost (7 x 0.60) / 8 = 0.53

Answer:

First notice that they’re asking for the absolute value of the equation.

The absolute value is how far that number is from 0.

Basically it’s the number without a negative sign.

ok so 6-27 = -21

The product for 6-27 (21) is 21 spaces away from 0.

|6-27| = 21

21 is the answer to your question.

Hope this helped and pls mark me brainliest if it did :)

Answer:

the water level drop per hour is [tex]\frac{1}{26}\,\,\frac{in}{h} \approx 0.03846\,\,\frac{in}{h}[/tex]

Step-by-step explanation:

Notice that in between 11 PM and 8:45 AM on the following day, there is a change in time equal to 9 hours and 45 minutes = 9.75 hours.

If the water level of the pool dropped by 3/8 of an inch, and the rate was constant, then the rate of level drop per hour is:

[tex]\frac{\frac{3}{8} in}{9.75\,h} =\frac{1}{26}\,\,\frac{in}{h} = 0.03846\,\,\frac{in}{h}[/tex]

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

[tex]x^2 = 3x - 2[/tex]

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

Answer:

I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.

Step-by-step explanation:

Answer:

I answered this already for you: https://brainly.com/question/16790720

Answer: The answer is A

Step-by-step explanation: