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faltersainse [42]
3 years ago
13

What is the inverse of the function below? f(x) = x - 4

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Answer:

f^-1(x) = x + 4

Step-by-step explanation:

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Solve x−5≥1. Graph the solution on a number line plzzz need answer for a test
Vsevolod [243]

Answer:

x-5 => 1

x => 6

Plot a solid, closed dot, at x =6 and point an arrow going towards the right.

3 0
3 years ago
Read 2 more answers
Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 18 samples are studied, and they can be cons
Temka [501]

Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Given percentage of rejuvenated mitochondria defective is 1%, and sample size is 18.

Binomial distribution is the probability of exactly x successes on n repeated trials and X can have two outcomes.

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

percentage of defective rejuvendated mitochondria=1%

p=0.01

Sample size=18

n=18

a) No samples are mutated

This means P(X=0)=C_{18,0}(0.01)^{0} (0.99)^{18}

=0.83

b) At most one sample is mutated.

P(X<=1)=P(X=0)+P(X=1)

so,

P(X=0)=C_{18,0} (0.01)^{0}  (0.99)^{18}

=0.83

P(X=1)=C_{18,1}(0.01)^{1} (0.99)^{17}=

=0.1512

P(X<=1)=0.83+0.1512

=0.9812

c) More than half the samples are mutated.

P(X>9)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)

Using two decimals digits precision all will be 0.

Hence Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Learn more about probability at brainly.com/question/24756209

#SPJ4

4 0
1 year ago
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
WARRIOR [948]
The answer is the first option 
y=3/2x+5

7 0
3 years ago
A hovercraft takes off from a platform.
lubasha [3.4K]

Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

h(x)=-3(x-3)^2+108

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters

The height of the hovercraft at takeoff is 81 meters.

7 0
3 years ago
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Solve this system of equations by graphing. First graph the equations, and then type the solution.
stealth61 [152]

Answer:

The solution is the point (1,-4)

Step-by-step explanation:

we have

y=-3x-1 ----> equation A

y=-2x-2 ----> equation B

we know that

The solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The intersection point is (1,-4)

see the attached figure

therefore

The solution is the point (1,-4)

5 0
3 years ago
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