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3 years ago

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Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x). Question 1 options:A. (f – g)(x) = –x2 –2x + 2 B.(f – g)(x) = x

2+ 2x – 4 C. (f – g)(x) = –x2+ 4x – 6 D. (f – g)(x) = x2+ 4x + 6

1 answer:

Katena32 [7]3 years ago

3 0

Answer:

A

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\$

Therefore, answer is A.

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At Becky's Restaurant, 10 out of 25 customers order wheat rolls. The rest of the customers order cornbread. Which does NOT repre

LekaFEV [45]

Answer:

C. 25 ÷ 10

Step-by-step explanation:

A. 10/25

B. 2/5

C. 25 ÷ 10

D. 0.4

Total customers at Becky's restaurant = 25

Customers who order wheat rolls = 10

It means 10 out of 25 customers order wheat rolls

That is

10 / 25

Dividing both numerator and denominator by 5

= 2 / 5

2/5 in decimal

= 0.4

The option Which does NOT represent the part of the customers who order wheat rolls

is 25/10

Option C. 25 ÷ 10

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3 years ago

Write each expression in exponential form 2 x 2 x 2 x 2 =

jok3333 [9.3K]

Answer:

2^4

Step-by-step explanation:

there are four 2's being multiplied to each other.

You can combine them and say 2 x 2 x 2 x 2 = 2 ^4

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3 years ago

Read 2 more answers

A sequence can be defined by the explicit formula <img src="https://tex.z-dn.net/?f=a_n%3D5-3_n" id="TexFormula1" title="a_n=5-3

astra-53 [7]

<h2>Answer:</h2>

Option: C is the correct answer.

C. $a_n=a_{n-1}-3\ ;\ a_1=2$

<h2>Step-by-step explanation:</h2>

The sequence is given by the explicit formula as:

$a_n=5-3n$

where $a_n$ is the nth term of the sequence.

Also, the first term of the sequence is: $a_1$

i.e.

$a_1=5-3\times 1\\\\i.e.\\\\a_1=5-3\\\\i.e.\\\\a_1=2$

Also,

$a_n=5-3n\\\\i.e.\\\\a_n=5-3n+3-3\\\\i.e.\\\\a_n=5-3(n-1)-3\\\\i.e.\\\\a_n=a_{n-1}-3$

Hence, the recursive formula which represents the same sequence is:

Option: C

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3 years ago

A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much

Rufina [12.5K]

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

$V=a^2\frac{h}{3}$

So its just:

$8.8^2\frac{12.5}{3} = 322.67 cm^3$

Then you just multiply the volume by the cost per cubic centimetre:

$322.67cm^3*$0.12=$38.704$

After just multiply the cost of one by how many you want, which is 6:

$38/704*6=232.32$

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4 years ago

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, $\bar{x}$ = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}$

We use One-tailed t test to perform this hypothesis.

a) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571$

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

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3 years ago