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Brut [27]
4 years ago
9

Is the function g(x)=9 x+1 linear or nonlinear?

Mathematics
1 answer:
Licemer1 [7]4 years ago
3 0
It is a linear function
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These tables represent a quadratic function with a vertex at (0,3). What is the average rate of change for the interval from X =
Eva8 [605]

Answer:

-19

Step-by-step explanation:

The missing table is shown in the attachment.

Since the quadratic function has vertex at (0,3), its equation is of the form;

y = a {x}^{2}  + 3

To find the value of 'a' we substitute any other point from the table say (1,2) to get:

2 = a( {1)}^{2}  + 3

a = 2 - 3 =  - 1

Hence the function is

y =  -  {x}^{2} +  3

Now

f(10) =  - 100 + 3 =  - 97

f(9) =  - 81 + 3 =  - 78

The average rate of change from x=9 to x=10 is

\frac{f(10) - f(9)}{10 - 9}  =  \frac{ - 97 -  - 78}{1}  =   - 19

7 0
4 years ago
Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser. He has already sold 24 rolls of wra
4vir4ik [10]

At lease means ≥sign to be used on left of given amount

Here it's 49

So it's

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Now

If left paper be x

The inequality is

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Option C

5 0
2 years ago
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Joseph is buying tomato seed packets and cucumber seed packets at the store. He plans to buy 7 seed packets of EACH type of plan
sweet-ann [11.9K]

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B

Step-by-step explanation:

Elimanited C and D

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3 years ago
5.5 cm<br> What is the circumference of this circle?<br> cm
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Step-by-step explanation:

5 0
3 years ago
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The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste
Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, n_1 = 46

Sample size of group 2, n_2 = 57

Number of Yes in group 1,  X_1 = 32

Number of Yes in group 2, X_2 = 47

Proportion of Yes in group 1:

\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957

Proportion of Yes in group 2:

\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246

Null Hypothesis, H_0: p_1 = p_2

Alternate Hypothesis,H_a: p_1 \neq p_2

\hat{p} = \frac{X_1 + X_2}{n_1 + n_2}  \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767

Significance level,

Calculate the test statistic

z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1}  + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0
3 years ago
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