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Inessa05 [86]
3 years ago
5

Which function is shown on the graph?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0
C) f(x) = -1/2 sin x is the answer.
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How much less is -2than 3
Law Incorporation [45]
-2 is 5 less than 3

hope this helps
6 0
3 years ago
Read 2 more answers
Verify experimentally that the angle opposite to the longer side is greater than
Veronika [31]

Answer:

If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

6 0
3 years ago
Find a polynomial f(x) of degree 4 that has the following zeros.<br> 0, -5, 8, -2
Roman55 [17]

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

<u><em>Final answer:-</em></u>

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0    

3 0
3 years ago
Use addition to solve the linear system of equations. Include all of your work in your final answer.
nadezda [96]
You just have to add one eqaution to another :
-x + x -y + 2y = 7 + 7
y = 14
Then apply y = 14 to one of the equations :
eg: x + 2(14) = 7
x + 28 = 7
x = - 21
The awnser is x= -21 y= 14
I hope i awnsered your question
3 0
3 years ago
A simple random sample with n = 58 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to
nasty-shy [4]

Answer: (23.53, 25.47)

Step-by-step explanation:

The confidence interval for population mean(when population standard deviation is unknown) is given by :-

\overline{x} \pm\ t^*\dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean

n = sample size.

s = sample standard deviation.

t* = Critical value.

Given : \overline{x}=24.5

s= 4.4

Confidence level = 90% =0.090

Significance level = \alpha=1-0.90=0.10

Sample size : n= 58

Degree of freedom : df= n-1= 57

Using t-distribution table , the critical value :

t_{\alpha/2,\ df}= t_{0.05,\ 57}=1.6720

Then, the confidence interval will be :-

24.5 \pm\ (1.6720)\dfrac{4.4}{\sqrt{58}}

24.5 \pm\ (1.6720)\dfrac{4.4}{7.61577310586}

24.5 \pm\ 0.965995165263\approx24.5\pm0.97\\\\=(24.5-0.97,\ 24.5+0.97)\\\\=(23.53,\ 25.47)

Hence, a 90% confidence interval for the population mean = (23.53, 25.47)

6 0
4 years ago
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