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Lera25 [3.4K]
2 years ago
9

Is the inverse of a function always a function? explain your answer please

Mathematics
1 answer:
lys-0071 [83]2 years ago
6 0
No, i don't think so

In a function, one value of x is only assigned to one value of y

It's okay if you can get the same y value from two x value, but that mean that inverse can't be a function.

y = x^2 is a function

but inverse y = +/- √x   is not
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consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev
Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

5 0
3 years ago
Quadrilateral CDEF is reflected across the x-axis and translated 3 units left to create quadrilateral GHJK .
PilotLPTM [1.2K]

Answer- KG⎯∥JH⎯

the given figure is a trapezium in which CF||DE

Reflection of figure CDEF and shifting it by 3 units does not change the shape of the figure but changes only its position in the x-y plane.

so, the shape of the figure GHJK will be same as that of CDEF.

so sides, KG⎯∥JH⎯

6 0
2 years ago
A rectangular picture frame has a width of 9 cm and a length of x cm.
Fantom [35]

Answer:

x+9

Step-by-step explanation:

the perimeter of any polygon is the sum of all the sides

7 0
2 years ago
Marsha spends 150 minutes a night doing homework.
kodGreya [7K]

Answer:

70%

Step-by-step explanation:

Maths homework takes 1/6×150mins

=150/6=25 mins

science homework takes 20/100×150

=3000/100

=30mins

Language Arts homework uses 1/3×150

=150/3

=50 mins

percent of time left for Marsha's social studies homework=total time used / original time

=(25+30+50)mins

=105mins/150mins×100%

=0.7×100

=70%

3 0
2 years ago
PLZ AMSWER FULLY! <br><br> ****NEED DONE ASAP****
julia-pushkina [17]

Answer:

1. Josh's father: f  Josh: f/2 - 2

2. f + (f/2 - 2) ≥ 49

3. 3/2 f - 2 ≥ 49

   3/2 f ≥ 51

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4. 34

6 0
3 years ago
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