Solve: x^2 – 16x + 63 < 0
Answers
Answer:
7 < x < 9
Step-by-step explanation:
x^2 – 16x + 63 < 0
this is a parabola that opens up.
The parabola will be < 0 for values between the roots.
to picture this see the graph below.
Factor
(x - 7)(x - 9) < 0
Roots
x = {7, 9}
solution
7 < x < 9
Related Questions
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A local concert center reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows. Round the standard deviation to three decimal places to work the problem.A) 0.7967 B) 0.3187 C) 0.2451 D) 0.754
If P(3,2) and Q(7,10) are the endpoints of the diameter of a circle, what is the area of the circle in square units?
Answers
Answer:
1.80 * 10^19
Step-by-step explanation:
If he has narrowed down his choices to 14blues, 25 country and 21 disco songs and he has to make a list of 12 songs with equal representation of each genre of song, the it means there will be 4 songs from each genre of music.
We select this 4 different songs using the combination formula for selection and multiply our results.
This means we have:
12C4 for blues,
25C4 for country
21C4 for disco.
This gives:
=12C4 * 25C4 * 21C4
= 495 * 12650 * 5985
And the order they can be played = 12!.
We then multiply the number of ways to get these songs by the order they can come in.
That is:
=495 * 12650 * 5985 * 12!
= 1.7951 * 10^19
= 1.80 * 10^19 (nearest hundredth).
Final answer:
DJ Davon can make approximately 3.57 x 10^21 different playlists, if he includes an equal number of blues, country, and disco songs. This calculation utilizes combination and permutation formulas.
Explanation:
DJ Davon wants to play an equal number of blues, country, and disco songs, which means he will play 4 songs from each genre. The number of ways to select 4 songs out of each genre is represented by the combination formula C(n,r) = n! / [r!(n-r)!].
So, for each genre, the number of ways to select 4 songs is:
Blues: C(14,4) = 1001
Country: C(25,4) = 12,650
Disco: C(21,4) = 5985.
After the songs are selected, the order of the playlist matters, so we use the permutation formula. Given 12 slots for the songs, the number of ways to order them is P(n) = n!, which for 12 is 479,001,600. The total number of different playlists is product of blues, country and disco song combinations and the permutations, which gives 3.57 x 10^21. This rounded to the hundredths place in scientific notation is 3.57 x 10^21.
Learn more about Combinations and Permutations here:
#SPJ3
Answers
Answers
Answer:
7 units is the answer
Step-by-step explanation:
points are (-9,-8) and (-2,-8)
Pythagorean theorem can written as,
∴ d = 7 units
Answer:
7 units
Step-by-step explanation:
Answers
Then take 30 miles divided by how many days.
30 divided by 6.
30 divided by 6=5
5 miles is the mean distance.
Answers
Answer:
7
Step-by-step explanation:
f(g(2))
f(x+4) and you would replace x with two, so you would get
f(2+4) = f(6)
You would then plug in 6 for the x in the f(x) equation:
2(6) - 5 = 12-5 = 7
Answers
Answer:
Step-by-step explanation:
Why are you asking? Why isn't your friend?
The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.
Tan(A) = opposite / adjacent
opposite = 7
Adjacent = 4
Tan(A) = 7/4 = 1.75
A = inverseTan (1.75)
A = 60.60 degrees