Which is f(5) for the function –2x2 + 2x – 3?
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f(5) for the function -2x² + 2x - 3
usually the value enclosed in a parenthesis in a function is the value of x.
f(x) = -2x² + 2x - 3
So if x = 5 ; then, we simply substitute x by its value
f(5) = -2(5²) + 2(5) - 3
f(5) = -2(25) + 10 - 3
f(5) = -50 + 10 - 3
f(5) = 10 - 50 - 3
f(5) = 10 - 53
f(5) = -43
To find f(5) for the function –2x^2 + 2x – 3, substitute 5 in place of x and evaluate the expression. The value of f(5) is -43.
To find f(5) for the function –2x2 + 2x – 3, simply substitute 5 in place of x in the function.
So, f(5) = –2(5)2 + 2(5) – 3.
Calculating further, f(5) = –2(25) + 10 – 3 = –50 + 10 – 3 = –40 – 3 = -43.
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Scores on an AP Exam at a local high school are recorded in the table. What was the average score? A) 0.234 B) 3 C) 3.5 D) 4.266
Round the mixed number to the nearest whole or half. 11 5/6
Answers
Answer:
The equation has two different real solutions
Step-by-step explanation:
The discriminant of the quadratic equation ax² + bx + c = 0 is Δ = b² - 4ac, it used to find the number and type of solutions
- Δ > 0, means two different real solutions
- Δ = 0, means one real solution
- Δ < 0, means no real solutions
∵ The equation is a² + 8a = 13
- Put it in the form ax² + bx + c = 0
- Subtract 13 from both sides
∴ a² + 8a - 13 = 0
∴ The coefficient of a² = 1, the coefficient of a = 8 and the
numerical term = -13
∵ Δ = (coefficient of a)² - 4(coefficient of a²)(numerical term)
∴ Δ = (8)² - 4(1)(-13)
∴ Δ = 64 + 52
∴ Δ = 116
∵ Δ > 0
∴ The equation has two different real solutions
Write your answer as an integer or as a decimal rounded to the nearest tenth.
PR =
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The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,
Here, , adj = PR and hyp = 10
Substituting these values in the formula, we get,
Multiplying both sides by 10, we get,
Substituting the value for cos 64, we get,
Multiplying, we have,
Rounding off, we get,
Thus, the length of PR is 4.4 units.
5
ТА
4
3
2+
1
2 3
Х
-5 -4 -3 -2 -11
-2
4 5
B
-4
D
b
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Answer:
Point B of 4the quertant
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Answer:
the airline can offer 20 different flight paths under the given conditions.
Step-by-step explanation:
If the airline has 6 airports and the plane lands three times without staying in the same place twice, this is essentially a permutation problem. You want to find the number of ways to arrange 3 distinct airports out of 6.
This can be calculated using the formula for permutations of "n" items taken "r" at a time:
nPr = n! / (n - r)!
Where "n" is the total number of items (airports in this case) and "r" is the number of items to be arranged (3 landings in this case), and "!" denotes factorial.
So, in your case, the calculation would be:
6P3 = 6! / (6 - 3)!
= (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
= 120 / 6
= 20
So, the airline can offer 20 different flight paths under the given conditions.
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Answer: The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.
Step-by-step explanation: Hope this helped you in any way :D
Final answer:
The equation x/5 - 2 = 11 could describe a scenario in a new basketball league. Here, x is the total number of basketball players signed up, 5 is the number of players on a team, '-2' stands for the administrative team and '11' is the number of teams remaining after removing the administrative team.
Explanation:
The equation given is x/5 - 2 = 11. To make this represent a basketball scenario, the most direct interpretation would be this: suppose the 'x' represents the total number of basketball players that have signed up for a new league. The '5' could represent the number of players on a team and the '2' subtracted from the equation could be an administrative team that doesn't play but are necessary to manage the league.
So, in this scenario, x/5 would represent the quantity of teams you could form with the players that have signed up. The '-2' represents the removal of the administrative team and the '11' is the leftover teams after you have removed the administrative team.
This scenario would then imply that, with the total number of players and if you remove the administrative team, there should be 11 teams left in the league.
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