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Delvig [45]
3 years ago
9

Find f(2) for f(x)=3x2+9x−6

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

a. f(2)=24  

Step-by-step explanation:

Given function:

f(x)=3x^2+9x-6

To find f(2)

Solution:

In order to find f(2),we need to plugin input=2 i.e. the value of x=2 in the function and find the output by evaluating.

Plugging in x=2 in the given function.

f(2)=3(2)^2+9(2)-6

Evaluating.

f(2)=3(4)+18-6

f(2)=12+18-6

∴ f(2)=24   (Answer)

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5n(3n+8) ..? I don't understand
SSSSS [86.1K]
You have ti distribute the 5n into the brackets. 

so then youll have 15n^2 + 40n. 
5 0
3 years ago
Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigar
uranmaximum [27]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the women and men who smoke respectively. The population proportion of women and men who smoke would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of women and men who smoke.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For women

x1 = 14

n1 = 110

p1 = 14/110 = 0.13

For men,

x2 = 7

n2 = 95

p2 = 7/95 = 0.07

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (14 + 7)/(110 + 95) = 0.1

1 - pc = 1 - 0.1 = 0.9

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.13 - 0.07)/√(0.1)(0.9)(1/110 + 1/95)

z = 1.47

From the options given, the test statistic is

e. none of these is correct.

Since it is a right tailed test, we will look at the area to the right of z = 1.47. The p value would be

p value = 1 - 0.9292 = 0.078

Since alpha, 0.005 < than the p value, 0.078, then we would fail to reject the null hypothesis. Therefore, the data does not indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005

8 0
2 years ago
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area if this other
Sliva [168]

Answer:

332 ft²

Step-by-step explanation:

A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.

Solution:

The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²

Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft

The width of the path with the garden = 33 + 2 + 2 = 37 ft.

Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².

Area of the path = 1850 ft² - 1518 ft.² = 332 ft²

5 0
3 years ago
The bus will leave in 7 minutes. what time will it leave?
hjlf

Answer:

1:52

Step-by-step explanation:

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3 0
1 year ago
Read 2 more answers
Please help and thank you
Oksi-84 [34.3K]

Through my understanding of the question I think the correct answers would be A and D.

hope this helps

5 0
3 years ago
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