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3 years ago

F(x)=x^2-5 and g(x)=3x+1 then f(g(2))

Mathematics

1 answer:

LuckyWell [14K]3 years ago

8 0

Answer:

f(g(2)) = 44

Step-by-step explanation:

g(2) = 3(2) + 1 = 7

Plug 7 into f(x) since g(2) = 7

f(7) = 7² - 5 = 44

f(g(2)) = 44

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the moon is 240,000 from earth what is the distance written as a whole number multiplied by a power of ten

olga2289 [7]

Commonly referred to as standard form:

2.4x10^5

3 0

2 years ago

Ana Participated in each charity walk she raise $.25 and each 1/2 That she walked the first day and I walked 11 miles a second d

Tresset [83]

Question:

Ana participated in a charity walk. She raised $0.25 for each 1/2 mile that she walked.The first day Ana walked 11 miles.The second day, she walked 14 miles.How much money did Ana raised?

Answer:

Ana raised $ 12.5

Solution:

From given question,

First day walk = 11 miles

Second day walk = 14 miles

Let us first calculate the total distance she walked

Total distance = first day walk + second day walk

Total distance = 11 + 14 = 25 miles

Thus she walked for 25 miles

Given that,

She raised $0.25 for each 1/2 mile that she walked

$\frac{1}{2} \text{ mile} = 0.25 \text{ dollars }$

Therefore, for 1 mile we get,

$\frac{1}{2} \times 2 \text{ mile} = 0.25 \times 2 \text{ dollars }\\\\1 \text{ mile } = 0.5 \text{ dollars }$

Now calculate for 25 miles

$25 \text{ mile } = 25 \times 0.5 = 12.5 \text{ dollars }$

Thus she raised $ 12.5

4 0

3 years ago

Factor 2k^2 - k - 3 A: (2k-3)(k+1) B: (k-1)(2k+3) C: (2k-1)(k+3) D: (k-3)(2k+1)

Art [367]

Answer:

Step-by-step explanation:

Given

2k² - k - 3

Consider the factors of the product of the k² term and the constant term which sum to give the coefficient of the k- term.

product = 2 × - 3 = - 6 and sum = - 1

The factors are + 2 and - 3

Use these factors to split the k- term

2k² + 2k - 3k - 3 ( factor the first/second and third/fourth terms )

= 2k(k + 1) - 3(k + 1) ← factor out (k + 1) from each term

= (2k - 3)(k + 1) → A

4 0

2 years ago

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $490. The store has a sale

o-na [289]

Answer:

if you mean 6/7ths, then the answer is 420$

Step-by-step explanation:

6 0

2 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago