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Bogdan [553]
3 years ago
14

Identify the domain and range

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

Domain: 1 ≤ x ≤ 4

Range : 1 ≤ f(x) ≤ 4

Step-by-step explanation:

The domain of a function f(x) is the limit within which the values of x varies.

Here, in the graph, it shows that the maximum value of x is 4 and the minimum value of x is 1.

Therefore, the domain of the function is 1 ≤ x ≤ 4

Again the range of a function f(x) is the limit within which the values of f(x) vary.

Here, the graph shows that the maximum value of f(x) is 4 and the minimum value of f(x) is 1.

Therefore, the range of the function f(x) is 1 ≤ f(x) ≤ 4. (Answer)

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Q 1.) Expand using identities:<br>i. (a+2b)²<br>ii. (5x-3y)²<br>iii. (3a+4)(3a-4)(9a²+16)<br>​
Ganezh [65]

Step-by-step explanation:

#1.

(a + 2b)²

<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>

= (a)² + (2b)² + 2 × (a) × (2b)

= a² + 4b² + 4ab

= a² + 4ab + 4b² Ans.

#2.

(5x - 3y)²

<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>

= (5x)² + (3y)² - 2 × (5x) × (3y)

= 25x² + 9y² - 30xy

= 25x² - 30xy + 9y² Ans.

#3.

(3a + 4)(3a - 4)(9a² + 16)

<em>Using identity (x + y)(x - y) = x² - y², we get:</em>

= [(3a)² - (4)²][9a² + 16]

= (9a² - 16)(9a² + 16)

= (9a²)² - (16)²

= 81a⁴ - 256 Ans.

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2 years ago
Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006,
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Answer:

<h2>A. <em><u>2</u></em><em><u>1</u></em><em><u>4</u></em><em><u>,</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em></h2>

Step-by-step explanation:

<h3>#CarryOnLearning</h3>

{text} { hope it helps}}

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3 years ago
Explain and Prove that the sides of the triangles below are a right triangle.
sukhopar [10]
3.) 3, 4, 5
&
4.) 6, 8, 10
Those two are right triangles because when you add the squares of the first two it should give you the square root of the third number

a^2 + b^2 = c^2

So
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

6^2 + 8^2 = 10^2
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100 = 100

Therefore they are right triangles

But 1 & 2 aren’t right triangles because when you add the squares of the first two number, it doesn’t equal to the square root of the third number.

Hope this helps!!
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