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LuckyWell [14K]
3 years ago
14

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

The solve of this equation is X = 4,06

Step-by-step explanation:

To solve this formula:

2 ( X² - 16) = 1

You must use the distributive law of multiplication, thus:

2X² - (16×2) = 1

2X² - 32 = 1

2X² = 1 + 32

X² = 33/2

X² = 16,5

X = √16,5

X ≈ 4,06

Thus, the solution of this equation is:

<em>X ≈ 4,06</em>

<em></em>

I hope it helps!

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The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

3 0
2 years ago
I need help on this ASAP so please help
In-s [12.5K]

Answer:

it’s 8 and 2 and 4 and 0

Step-by-step explanation:

this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer

7 0
2 years ago
Please help
ratelena [41]

Answer:

rom the relation for linear regression formula, Y = b·X + a, we have ;

For car 1

ΣXY = 102780

(ΣX)² = 36

ΣX = 6

ΣY = 52390

ΣX² = 14

N = 3

b = -1000

a = 19463

Y = -1000×X + 19463

For Car 2

ΣXY = 102539.8

(ΣX)² = 36

ΣX = 6

ΣY = 52346.6

ΣX² = 14

N = 3 .

b = -1076.7

a = 19602

Y = -1076.7×X + 19602

Step-by-step explanation:

part B ^

8 0
3 years ago
A house costs $600 more than twelve times the lot on which it was built. If the lot cost x dollars, what did the house cost? Whi
Mnenie [13.5K]
House=600+12lot
lot=x
house=600+12x

answer is first expresion
7 0
3 years ago
Read 2 more answers
3-3x6+2 and how is that reached, please!
Dvinal [7]
The order of mathematical operation is MDAS.
M - multiplication
D - division
A - addition
S - subtraction

3 - 3 x 6 + 2

Multiplication : 3 x 6 = 18
Division: none
Addition : + 3 + 2 = 5 (combine positive numbers)
Subtraction : 5 - 18 = -13

3 - 18 + 2 = -13
3 0
3 years ago
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