All categories

2 years ago

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

1 answer:

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.

You might be interested in

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

$\r q_2 = 1 - \r p_2$

=> $\r q_2 = 1 - 0.092$

=> $\r q_2 = 0.908$

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

$-0.00870$

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