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2 years ago

What is the inverse of the function f(x) = x + 3

Mathematics

2 answers:

xenn [34]2 years ago

8 0

Answer:

the answer would be f(x)=x-3

Step-by-step explanation:

JulijaS [17]2 years ago

3 0

Answer:

f inverse of x =x-3

Step-by-step explanation:

f(x)=x +3

let f(x) be y

y=x+3

make x the subject of the formula

x=y-3

hence,

f^-(x)=x-3

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A batch of 200 calculators contains 3 defective units. What the probability that a sample of three calculators will have/be

Anika [276]

Answer:

1. 0.048

2. 0.952

3. 0.6465

Step-by-step explanation:

Requirement 1

the probability of no defective calculator is 0.048

Given,

Total calculator = 200

Number of defective = 3

Probability of defective,

p = 3/200

= 0.015

And the probability of non-defective,

q = 1 - p

=1-0.015

=0.985

The Probability distribution of defective follows the normal distribution.

P [X=0] = 〖200〗_(c_0 ) 〖(.015)〗^0 〖(.985)〗^(200-0)

P [X=0] = 0.048

Requirement 2

the probability of no defective is 0.048.

here, the probability of at least one defective means minimum 1 calculator can be defective. So the probability of at least one will be the probability of less than or equal 1.

P [X =less than or equal 1] = 1- P [X=0]

= 1 - 0.048

= 0.952

So the probability of at least one defective is 0.952.

Requirement 3

c) the probability of all defective calculators is 0.6465.

P [X=3] = P[X=0]+ P[X=1]+ P[X=2]+ P[X=3]

Here,

P [X=0] = 0.048

P [X=1] = 〖200〗_(c_1 ) 〖(.015)〗^1 〖(.985)〗^(200-1)

= 0.148228

P [X=2] = 〖200〗_(c_2 ) 〖(.015)〗^2 〖(.985)〗^(200-2)

= 0.2245997

P [X=3] = 〖200〗_(c_3 ) 〖(.015)〗^3 〖(.985)〗^(200-3)

= 0.2257398

So, P [X=3] = 0.048+0.148228+0.2245997+0.2257398

= 0.6465675

So, the probability of all defective calculators is 0.6465.

6 0

3 years ago

Eginning at 15,000 feet, a commercial jetliner begins climbing at a rate (in feet per minute) given by f(t)=e0.4t+8 f ( t ) = e

nydimaria [60]

Answer:

16,126 ft

Step-by-step explanation:

Using the net change theorem and letting s(t) represent the aircraft's position, and s(0) be the aircraft's position at time t = 0, s(0) = 15000 ft and s(15 be the aircraft's position at time, t = 15 minutes respectively, then,

s(15) - s(0) = ∫₀¹⁵f(t)dt

s(15) - s(0) = ∫₀¹⁵[ $e^{0.4t} + 8$ ]dt

s(15) - 15000 = [ $\frac{e^{0.4t}}{0.4} + 8t$ ]₀¹⁵

s(15) - 15,000 ft = $\frac{e^{0.4X15}}{0.4} + 8X15 - \frac{e^{0.4 X 0}}{0.4} + 8(0)\\\frac{e^{6}}{0.4} + 120 - \frac{e^{0}}{0.4} + 0\\\frac{403.43}{0.4} + 120 - \frac{1}{0.4} + 0\\1008.57 + 120 - 2.5\\1126.07$

s(15) = 15,000 ft + 1126.07 ft

s(15) = 16,126.07 ft

s(15) ≅ 16,126 ft to the nearest foot

4 0

2 years ago

You start driving north for 27 miles, turn right, and drive East for another 36 miles. At the end of driving, what is your strai

denis-greek [22]

Answer:

45 miles

Step-by-step explanation:

Use pythagorean theorem:

$27^{2} +36^{2} =45^{2}$

5 0

3 years ago

What is the inverse of the function f(x) = x + 3​

What is the inverse of the function f(x) = x + 3