All categories

2 years ago

Given f (x) = 2x3 + 5x2 – 3x and g(x) = 8x – 7, find (f X g)(x).

Mathematics

1 answer:

Roman55 [17]2 years ago

3 0

Step-by-step explanation:

I don't know what you really mean by 2x3 and 5x2 but if the x there's is multiplication sign then your answer is 149x - 24x^2 - 112.

You might be interested in

A school will offer pizza on Friday's if at least 30% of the students will buy it. A sample of 50 students asked if they would b

Whitepunk [10]

Answer:

0.0614

Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

- The minimum required proportion of students, p = 30%

- A sample of n = 50 students were taken and out of the sample x = 10 people responded willing to buy pizza.

- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

Expected ( Mean - u ) = n*p = 50*0.3 = 15 people.

- The standard deviation for the normal distribution can be determined as follows:

standard deviation ( s ) = √n*p*(1-p)

= √50*0.3*(0.7)

= √10.5 = 3.2404

- We will assume that the random variable X follows normal distribution:

X ~ Norm ( 15 , 3.2404^2 )

- To determine the probability of sample of size n = 50 with proportion or lower. The number of people willing to buy pizza on friday as per survey are x = 10.

- Evaluate the standard normal ( Z-score ):

P ( X < x ) = P ( Z < ( x - u ) / s )

P ( X < 10 ) = P ( Z < ( 10 - 15 ) / 3.2404 )

P ( X < 10 ) = P ( Z < -1.54301 )

- Use the standard normal tables to determine the value of P ( Z < -1.54301 ):

P ( X < 10 ) = P ( Z < -1.54301 ) = 0.0614

Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

5 0

3 years ago

Can someone help me with this question? (please explain?

Bogdan [553]

The most accurate way would be the fourth answer, because to estimate 66% of 47 you need to round both as closely as possible. 66% rounds closest to 2/3, and 47 is closest to 48

4 0

3 years ago

Read 2 more answers

Write an expression that is equivalent to 3x3x3x3x3x3x3 ?!?!?!

Ira Lisetskai [31]

3^6 power. it would be 3 to the 6th power

3 0

3 years ago

Read 2 more answers

Maureen went on a 3 day 50 mile trip. the first day she biked 17 7/8 miles . the second day she biked 18 5/7 miles. How many mil

Inessa [10]

To find the miles for 3rd day, we take away the miles she biked for the first two day from the total.

$50 - 17 \dfrac{7}{8} - 18\dfrac{5}{7}$

$=50 - 17 \dfrac{7 \times 7}{8 \times 7} - 18\dfrac{5 \times 8}{7 \times 8}$

$= 48 \dfrac{112}{56} - 17 \dfrac{49}{56} - 18\dfrac{40}{56}$

$= 13 \dfrac{23}{56} \text { miles }$

-----------------------------------------------------------------------------------
Answer: She traveled 13 23/56 miles on the third day.
-----------------------------------------------------------------------------------

7 0

3 years ago

Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok

lana66690 [7]

The expression that describes the number of tickets won by Lily is:

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

Solution:

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

Given that Louis won 4.5 times as many tokens as Ben

So we can frame a equation as:

number of tokens won by Louis = 4.5 times as many tokens as Ben

number of tokens won by Louis = 4.5 x number of tokens won by Ben

$b = 4.5 \times c$

b = 4.5c

Given that Lily won 8 more tokens than Louis

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0

3 years ago