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iris [78.8K]
3 years ago
12

State the Domain & the Range. g(x) = |x – 1| + 2 Domain: Range:

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

domain: (-oo,oo)

range:[2,oo)

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Use Lagrange multipliers to solve the following exercise. A home improvement contractor is painting the walls and ceiling of a r
mash [69]

Answer:

Let the width of the garden =x meter

Then length=(x+4) meter

Half perimeter =36 m

So perimeter of garden =(2×36)=72 meters

According to the question

⇒2(l+b)=72

⇒2(x+x+4)=72

⇒2x+2x+4=74⇒4x=64⇒x=16 meters

Hence,the width of the garden =16 meters

The length of the garden =(16+4)=20 meters

5 0
3 years ago
Find the cube of 12.
enot [183]
The cube of  12  is (12 x 12 x 12) = 1,728 .

The volume of a cube with side-length of  7 units  is
(7 units  x  7 units  x  7 units) = 343 cubic units.

The volume of a cube with side-length of  14 units  is
(14 units  x  14 units  x  14 units) = 2,744 cubic units.

<span>The number of  1 by 1  unit cubes that would equal the volume
of the figure shown can't be determined, because the figure is </span>
not shown.

The volume of the figure <span>can't be determined, because the figure
is not shown.</span>
7 0
3 years ago
What is the missing number?
JulsSmile [24]

Answer:

y = 2^{x}

Step-by-step explanation:

Given the above data for x and y.

From the algebraic expression;

y = 2^{x}

We can deduce that the value of y is equal to two (2) raise to the power of x.

When x = 1, y = 2

y = 2^{x}

y = 2^{1}

y = 2

When x = 2, y = 4

y = 2^{x}

y = 2^{2}

y = 4

When x = 3, y = 8

y = 2^{x}

y = 2^{3}

y = 8

The above calculations can be used to determine the other values of y with respect to x.

3 0
3 years ago
The sum of five consecutive positive integers is 2020. Find the largets of these numbers.
Alona [7]

Answer:

406

Step-by-step explanation:

let the 5 consecutive positive integers be

n , n + 1 , n + 2 , n + 3 , n + 4 , then

n + n + 1 + n + 2 + n + 3 + n + 4 = 2020

5n + 10 = 2020 ( subtract 10 from both sides )

5n = 2010 ( divide both sides by 5 )

n = 402

then

largest integer = n + 4 = 402 + 4 = 406

4 0
2 years ago
2 angles that are complementary. One angle is 4 degrees less than three times the other angle. Find the measures of the angles.
77julia77 [94]
Complementary angles add to 90o

the other angle = x
the first angle = 3x - 4

x + 3x - 4 = 90
4x - 4 = 90
4x = 94
x = 94/4
x = 23.5

the first angle = 3*23.5 - 4 = 66.5
6 0
3 years ago
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