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yuradex [85]
3 years ago
15

F(x)=4x-12 inverse of given function

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0
f^-^1(x) =  \frac{1}{4} x + 3
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Abc Which type of rhetorical appeal is used when an author attempts to create strong feelings in the audience? O ethos imagery O
andrew11 [14]

Answer: good question

Step-by-step explanation:

8 0
2 years ago
HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°
Mariulka [41]

Answer:

  F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

  (x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

  A(4, 3) ⇒ A'(-3, 4) . . . . . quadrant II

  B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

  C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

__

Consider the answer choices:

  F: (-3, -4) is A' --- NOT true

  G: triangles are congruent --- true

  H: B is in quadrant III --- NOT true

  J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

8 0
3 years ago
"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year
KiRa [710]

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

56% of the school's graduates find a job in their chosen field within a year after graduation.

This means that p = 0.56

Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

This is P(X \geq 1) when n = 6.

Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.56)^{0}.(0.44)^{6} = 0.0073

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0073 = 0.9927

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

8 0
3 years ago
Q
Luda [366]

Answer:

x = 10

Step-by-step explanation:

Q  is the midpoint of PR: PQ = QR

4x + 5 = 2x + 25

2x = 20

x = 10

3 0
3 years ago
Solve for b:<br><br> 16b = 12<br> A. b = 28<br> B. b = 3/4<br> C. b = 4/3<br> D. b = 1/4
schepotkina [342]

Answer:

16b=12

Step-by-step explanation:

divide both sides by 16

so twelve divide 16 is B

8 0
3 years ago
Read 2 more answers
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