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brilliants [131]
4 years ago
11

Given the functions, f ( x ) = x2 + x - 5 and g ( x ) = 4 x2 - 2 x + 1, perform the indicated operation. When applicable, state

the domain restriction. ( f - g )( x )
Mathematics
1 answer:
elixir [45]4 years ago
7 0

Answer:

(f-g)(x)  =  - 3 x² + 3 x -6

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given function f(x) = x² + x - 5

                      g(x) = 4 x² - 2 x + 1

(f-g)(x)   =  f(x) - g(x)

            =  x² + x - 5 - (4 x² - 2 x + 1)

            = x² - 4 x² + x + 2 x - 5 -1

            =  - 3 x² + 3 x -6

(f-g)(x)  =  - 3 x² + 3 x -6

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What a good men what a ever good men
Pepsi [2]

Answer: then what a bad man

Step-by-step explanation:

6 0
3 years ago
From his home, Clayton would have to walk 4 miles north to get to his friend Miki's house and 1 mile east to get to his friend D
iren2701 [21]
The houses form a right triangle. Using a²+b²=c² you will find that the distance from Clayton’s house to Danny’s would be 4.1 miles. Adding it all up, the distance would be 9.1 miles of walking.
7 0
3 years ago
To get a B in​ math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82​,74​,82​,and 74.Wha
motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in​ math, Alexandria Pappas must<u> average 80</u> on five tests.

Scores on the first four tests were <em>82​, 74​, 82​, and 74.</em>

Question asked:

What is the lowest score that she can get on the last test and still get a​ B?

Solution:

Let lowest score she can get on the last test = x

As we know:

Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\

By cross multiplication:-

80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x

Thus, she can get 88 score on the last test to get a B in​ math.

5 0
4 years ago
Help me now !!!!!!!!!!!!!!!!
miskamm [114]

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

3 0
2 years ago
A certain chalkboard manufacturer determines that their largest blackboard model has a mean length of 5.00 m and a standard devi
Igoryamba

Answer:

23 chalkboards

Step-by-step explanation:

Given:

Mean length = 5 m

Standard deviation = 0.01

Number of units ordered = 1000

Now,

The z factor = \frac{\textup{x - Mean}}{\textup{standard deviation}}

or

The z factor = \frac{\textup{4.98 - 5}}{\textup{0.01}}

or

Z = - 2

Now, the Probability P( length < 4.98 )

Also, From z table the p-value = 0.0228

therefore,

P( length < 4.98 ) = 0.0228

Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.

7 0
3 years ago
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