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anzhelika [568]
2 years ago
7

Compare the average rate of change for both functions over the interval [0,3].

Mathematics
1 answer:
Verizon [17]2 years ago
5 0
So find g(0) and g(3)
G(0) = 0^2 -5(0) +3 = 3
And g(3) = 3^2 - 5(3) +3 = 9 - 15 + 3 = 3 so there is no change in g(x) for that interval.

H(0) = 8(0) + 10 = 10
And h(3) = 8(3) + 10 = 34
So the change in h(x) for that interval is 24.
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Which of the following is the equation of the line that is parallel to y=35x+8 y = 3 5 x + 8 and goes through point (-10,4)?
xeze [42]

Slope-intercept form of a line is y=mx+b.

Where m= slope and b= y-intercept.

First step is to compare the given equation y=35x+8 with the above equation to get the value of m.

After comparing the two equations we will get m=35.

Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.

Now the line is passing through (-10,4).

Point slope form of a line is :

y-y_{1} =m(x-x_{1} )

Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,

y-4=35(x-(-10)

y-4=35(x+10)

y-4=35x+350

y=35x+350+4

y=35x+354.

So, the equation of the line is y=35x+354.

4 0
3 years ago
A past survey of students taking a standardized test revealed that ​% of the students were planning on studying engineering in c
Angelina_Jolie [31]

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  -0.00870

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  n_1  =  1068000

     The first proportion  \r p_1 = 0.084

     The second  sample size is  n_2  =  1476000

     The  second  proportion is  \r p_2 =  0.092

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      \alpha =  (100 - 95)\%

     \alpha =  0.05

From the normal distribution table  we obtain the critical value of  \frac{ \alpha }{2}  the value is  

      Z_{\frac{\alpha }{2} } =z_c=  1.96

Now using the formula from the question to construct the 95% confidence interval we have  

  (\r p_1 - \r p_2  )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }

Here \r q_1 =  1 - \r p_1

  =>   \r q_1 =  1 - 0.084

 =>    \r q =  0.916

and  

   \r q_2 =  1 - \r p_2

 =>   \r q_2 =  1 - 0.092

=>   \r q_2 = 0.908

So  

 (0.084 - 0.092 )- (1.96)*  \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }

  -0.00870

 

3 0
3 years ago
Deb is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Boston was
Brilliant_brown [7]

Answer:

Percent increase = 60%

Percent increase with baggage = 83%

Step-by-step explanation:

Given that:

Old price of the ticket = $210

New price of the ticket = $335

Increase amount =335-210 = $125

Percent increase = \frac{Inrease\ amount}{Old\ price}*100

Percent increase = \frac{125}{210}*100 = 0.595*100

Percent increase = 59.52% = 60%

Additional charges = $125+$50 = $175

Percent increase = \frac{175}{210}*100

Percent increase = 83%

Hence,

Percent increase = 60%

Percent increase with baggage = 83%

4 0
3 years ago
Read 2 more answers
Can someone help me there is a picture of problem
german

Answer:

8 interior angles

Step-by-step explanation:

  • There is a simple trick to finding the number of interior angles
  • For instance, a triangle has 3 sides, and how many angles are in a triangle? 3
  • A square has 4 sides and 4 interior angles
  • A pentagon has 5 sides and 5 interior angles
  • So an octagon, the shape we have here, has 8 sides so 8 interior angles
8 0
3 years ago
3.1415 is rational or irrational
attashe74 [19]
If it is just the decimal 3.1415 then it is rational. If it is pi it is irrational
7 0
2 years ago
Read 2 more answers
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