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solong [7]
3 years ago
8

Which expression is equivalent to 2(x − 3) + 4?

Mathematics
2 answers:
marusya05 [52]3 years ago
7 0

Answer:

2x -2

Step-by-step explanation:

2(x-3)+4

2x -6+4

Combine like terms

2x -2

nikitadnepr [17]3 years ago
5 0

Answer: 2x-2

Step-by-step explanation:

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Answer:

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3 years ago
A circular tablecloth has a diameter of 48 centimeters. Martel wants to sew a decorative braid around the tablecloth. What is ci
Anit [1.1K]
Hello!

To solve this you use the equation to find the circumference of a circle which is

C = 2 \pi r

C is circumference
r is radius which is half the diameter

Put in the values you know and 3.14 for pi

C = 2 * 3.14 * 24

Multiply

C = 150.72

The answer is 150.72 centimeters

Hope this helps!
8 0
3 years ago
Lagrange Multiplier Million Dollar question. Anybody please Use the method of Lagrange multipliers to find the max and min value
jekas [21]

 

We are given the equation: g(s,t) = t^2 e^s

Which is subject to the constraint: s^2 + t^2=3

 

The points (x,y) that will maximize g(s,t) will be the points that will satisfy the equation ∇f(x, y, z) = λ∇g(x, y, z), therefore:

2 t e^s = λ (2 t), so  e^s = λ           --> 1

t^2 e^s = λ (2 s)                                                --> 2

s^2 + t^2 = 3                                       -->3

 

To solve this problem, note that λ cannot be zero by equation 1 since e^s can never be zero. Therefore plug in equation 1 to 2:

t^2 e^s = (e^s) (2 s)       

t^2 = 2 s                                               --> 4

 

Plug in equation 4 to 3:

s^2 + 2s = 3

 

By completing the square:

s^2 + 2s + 1 = 4

(s + 1)^2 = 4

s + 1 = ±2

s = -3, 1

 

Calculating for t using equation 4:

when s = -3

t^2 = 2(-3)

t = sqrt(-6)

Since t is imaginary, therefore s=-3 is not a solution

 

when s = 1

t^2 = 2(1)

t = sqrt(2) = ±1.414

 

Therefore the maxima and minima points are at:

(1, -1.414) and (1, 1.414)

 

g(1, -1.414)=(-1.414)^2 e^(1) = 5.434

g(1, -1.414)=( 1.414)^2 e^(1) = 5.434

5 0
3 years ago
Which values should you plot to show a linear relationship?
Stells [14]

Answer:

It's C.

Step-by-step explanation:

have a good day!

3 0
3 years ago
Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??
inn [45]

Answer:

1.014e+6

Step-by-step explanation:

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3 years ago
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