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Blababa [14]
3 years ago
7

A function is defined by the equation f(x) = 2x – 5.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

1.f(0)=-5

3.f(100)=195

4.f(x)=9;ans.14

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Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 5(x + 6)2(x - 6)3
8090 [49]

Answer:

Zeroes: ± 6

Step-by-step explanation:

The given polynomial is: $ f(x) = 5(x + 6)^2(x - 6)^3 $.

To find the zeroes of the polynomial we equate it to zero.

⇒ $ 5(x + 6)^2(x - 6)^3 = 0 $

⇒$ (x + 6) = 0  \hspace{5mm} or \hspace{5mm} (x - 6) = 0 $

⇒ x = -6 and x = +6. They are the zeroes of the polynomial.

Since $ (x + 6)^2 $ is a quadratic equation it will have two roots. Therefore, the roots are x = -6, -6.

Multiplicity of a root is the number of times the root appears as the solution for the equation.

This makes x = -6 as root with multiplicity two.

Similarly, $ (x - 6)^3 $ will have three roots.

∴ x = +6, +6 , +6

x = +6 is a root with multiplicity three.

4 0
4 years ago
A rectangle’s perimeter and its area have the same numerical value. The length of the rectangle is 12 units. What is the width o
horrorfan [7]

Answer:

2.4

Step-by-step explanation:

Let the perimeter and the area = x.

L = 12

P = 2(L + W) = x

P = 2(12 + W) = x

A = LW = x

A = 12W = x

2(12 + W) = 12W

12 + W = 6W

5W = 12

W = 2.4

Answer: 2.4

7 0
3 years ago
Helpppp<br><br> What is the slope of each line?<br> у<br> 8<br> 6<br> 4<br> 2<br> O<br> 2 4 6 8
Crazy boy [7]
The slope is 2 hope I helped
8 0
3 years ago
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Can someone pls help me??? ​
Sidana [21]

a) Two angles are said to be complementary if their sum is equal to 90°

Given : 2x and 4x are complementary angles

⇒   2x + 4x = 90°

⇒   6x = 90°

⇒   x = 15°

<u>Answer</u>: The two angles are : 30° and 60°

b) Two angles are said to be supplementary if their sum is equal to 180°

Given : x and 5x are supplementary angles

⇒   x + 5x = 180°

⇒   6x = 180°

⇒   x = 30°

<u>Answer: </u>The two angles are : 30° and 150°

c) Two angles are said to be complementary if their sum is equal to 90°

Given : x and x + 50° are complementary angles

⇒   x + x + 50° = 90°

⇒   2x = 40°

⇒   x = 20°

<u>Answer:</u> The two angles are : 20° and 70°

d) If two angles form a linear pair, then the sum of the angles should be equal to 180°

Given : 2x + 10° and 3x + 10° form a linear pair

⇒   2x + 10° + 3x + 10° = 180°

⇒   5x = 160°

⇒   x = 32°

⇒  2x + 10° = 2(32) + 10° = 74°

⇒  3x + 10° = 3(32) + 10° = 106°

<u>Answer:</u> The two angles are 74° and 106°

7 0
3 years ago
Coach Hutchinson is the basketball coach at school. She asks players to record their heights. The histogram shows the data she h
Hitman42 [59]

Answer:

15 pionts t

Step-by-step explanation:

thanks. .dssss

6 0
3 years ago
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