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4 years ago

Explain the difference between f and f(x).

1 answer:

3 0

F is a function. It takes inputs and then produces an output. The notation f(x) is saying more specifically that the function is taking an input x and producing the output f(x). For example, if you look at f(x)=x2, you can think that f is the "squaring function", with input x and outputs x2. You can think that "f" is like the name of the function. f1(x)=x2 f2(x)=6x+3 Above, you know which function I'm talking about if I say f2. But often, people will just call it as the function f2(x)

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Please Help - (You must answer all of the questions) - 25 POINTS

Juliette [100K]

1.) It typically takes teachers 9 minutes longer than students to get ready for school. - The median of two data = Teachers 25 - Students 16: typically, teachers take 25 mins to get ready and students take 16 mins to get ready.

2.) Both of the means are correct, but the reasoning is incorrect. - the mean absolute deviation for team A is 2 and for team B is 0.8. Greater mean does not signify higher mean absolute deviation.

3.) The students tend to have fewer siblings than the teachers. - the teachers have a wide range of data and they have more siblings than the students so the first choice is the better option.

4.) between 120 and 153 mph in race A; between 125 and 145 mph in race B - get the data from the lower whisker till the median.

7 0

3 years ago

Read 2 more answers

State the number of possible triangles that can be formed using the given measurements.

romanna [79]

Answer: 39) 1 40) 2

41) 1 42) 0

Step-by-step explanation:

39) ∠A = ? ∠B = ? ∠C = 129°

a = ? b = 15 c = 45

Use Law of Sines to find ∠B:

$\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o$

If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°

If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°

Since ∠A cannot be negative then ∠B ≠ 165°

∠A = 36° ∠B = 15° ∠C = 129° is the only valid solution.

40) ∠A = 16° ∠B = ? ∠C = ?

a = 15 b = ? c = 19

Use Law of Sines to find ∠C:

$\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o$

If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°

If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°

Both result with ∠B as a positive number so both are valid solutions.

Solution 1: ∠A = 16° ∠B = 144° ∠C = 20°

Solution 2: ∠A = 16° ∠B = 4° ∠C = 160°

41) ∠A = ? ∠B = 75° ∠C = ?

a = 7 b = 30 c = ?

Use Law of Sines to find ∠A:

$\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o$

If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°

If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°

Since ∠C cannot be negative then ∠A ≠ 167°

∠A = 13° ∠B = 75° ∠C = 92° is the only valid solution.

42) ∠A = ? ∠B = 119° ∠C = ?

a = 34 b = 34 c = ?

Use Law of Sines to find ∠A:

$\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o$

If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°

If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°

Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°

There are no valid solutions.

6 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST FOR CORRECT ANSWER

goldfiish [28.3K]

The slope of AB is -2
The slope of BC is 1/2
The slope of CD is -3/4
The slope of AD is 1/2
The quadrilateral ABCD is a trapezoid because only one pair of opposite sides are parallel. YOU'RE WELCOME :D

8 0

3 years ago

Read 2 more answers

Which fraction is equivalent to - 3/2

andrezito [222]

Answer:

3/-2

Step-by-step explanation:

The negative sign applies for the whole fraction

4 0

3 years ago

Read 2 more answers