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Agata [3.3K]
3 years ago
15

If

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

-  {x}^{2}  + x + 24

Step-by-step explanation:

Subtract the functions:

f - g = (36 -  {x}^{2} ) - (8 - x)

Simplify:

(36 -  {x}^{2} ) - (8 - x) \\ 36 -  {x}^{2}  - 8 + x \\  - {x}^{2}  + x + 24

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For the function F defined by F(x) = x2 – 2x + 4, find F(| — 4|).
Lostsunrise [7]

F(x)=x^2-2x+4

\\ \sf\longmapsto F(|-4|)

\\ \sf\longmapsto F(4)

\\ \sf\longmapsto 4^2-2(4)+4

\\ \sf\longmapsto 16-8+4

\\ \sf\longmapsto 8+4

\\ \sf\longmapsto 12

7 0
2 years ago
Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?
Anna71 [15]

The solution to the inequality expression is x ≥ - 5

<h3>Inequality expressions</h3>

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(x + 3) ≤ –2 – 2x

Expand

-4x - 12  ≤ -2 - 2x

Collect the like terms

-4x + 2x  ≤ -2 + 12

-2x  ≤  10

Divide both sides by -2

-2x/-2  ≤ 10/-2
x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

learn more on inequality here: brainly.com/question/24372553

#SPJ1

3 0
1 year ago
Alan drew several three-dimensional figures. Which of the following figures has exactly 5 faces and 5 vertices?
Marat540 [252]

Answer:

Rectangular Pyramid

Step-by-step explanation:

we know that

A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces

so

The total number of faces is 5 (one rectangular face plus four triangular faces)

The total number of vertices is 5 (four at the base and one at the apex)

5 0
3 years ago
The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?
hoa [83]

Answer:

the answer is 3

Step-by-step explanation:

5 x - 3 + x + 9 =24

6X + 6 = 24

6X =18

×=3

3 0
2 years ago
In a particular country, there are two types of currency: Kabuls and Carumpts. 8 Kabuls and 2 Carumpts are worth $61.70. 3 Kabul
Misha Larkins [42]

Answer:

Kabuls = 7.5

Carumpts= 0.85

Step-by-step explanation:

Let x represent the price of kabuls

Let y represent the price of carumpts

8x + 2y= 61.70......equation 1

3x + 10y= 31.........equation 2

Multiply equation 1 by 3 and equation 2 by 8

24x + 6y= 185.1

24x + 80y= 248

-74y = -62.9

y= 62.9/74

y= 0.85

Substitute 0.85 for y in equation 1

8x + 2(0.85) = 61.70

8x + 1.7= 61.70

8x = 61.70-1.7

8x = 60

x= 60/8

x= 7.5

Hence the dollar value for kabuls is 7.5 and carumpts is 0.85

3 0
2 years ago
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