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Elan Coil [88]
3 years ago
5

How to find the vertex of a parabola given a quadratic equation?

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0
let \: f(x) = ax {}^{2} + bx + c \\ thus \: f(x) \: represents \: a \: parabola \: whose \: axis \: is \: parallel \: to \: the \: y \: axis \: and \: vertex \: is \: \frac{ - b}{2a} ,\frac{ - d}{4a} \\

At the respective max and min values

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Find the length of arc JK. <br> (Round to the nearest hundredth).
Naddika [18.5K]

Answer:

Step-by-step explanation:“My head was pounding. It was like my insides had swollen so much they were pushing on my skull.”

5 0
3 years ago
Read 2 more answers
A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 2
Anna007 [38]

Answer:

475 mph

Step-by-step explanation:

Distance = rate × time

time = distance / rate

If x is the speed of the plane in still air:

2100 / (x + 25) = 1890 / (x − 25)

Cross multiply:

2100 (x − 25) = 1890 (x + 25)

Distribute and solve:

2100x − 52500 = 1890x + 47250

210x = 99750

x = 475

5 0
3 years ago
(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
IgorLugansk [536]

Answer:

Juan

Step-by-step explanation:

The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

For Ana

Ana read 15% of her 46-page book.

= 15% × 46 pages

= 6.9 pages

For Hillary

Hillary read 11% of her 72-page book.

= 11% × 72 pages

= 7.92 pages

For Roger

Roger read 12% of his 68-page book.

= 12% × 68 pages

= 8.16 pages

For Juan

Juan read 14% of his 69-page book.

= 14% × 69 pages

= 9.66 pages

The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.

From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.

5 0
3 years ago
Drag steps in the given order to evaluate this expression. <br><br> (4)(−3)−5−3(−6)
never [62]

Answer:

1

Step-by-step explanation:

using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem

First we multiply (4)(-3)

(4)(−3)−5−3(−6)

Then multiply -3(-6)

(-12)-5-3(-6)

=-12-5+18

subtract 12-5

-12-5+18

=-17+18

Adding -17+18 gives us 1.

Therefore,  (4)(−3)−5−3(−6) is 1.

3 0
3 years ago
Given the function defined in the table below, find the average rate of
Savatey [412]

Answer:

The average rate of change from 2 < x < 3 is -3.

Step-by-step explanation:

f(2) = 13

f(3) = 10

5 0
3 years ago
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