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bonufazy [111]
3 years ago
4

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference

of three and the number”?
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
Mathematics
2 answers:
Murrr4er [49]3 years ago
6 0

Answer:

6 + 2(x+4) = 1/2(3-x)

Step-by-step explanation:

Naddika [18.5K]3 years ago
4 0

Answer:

<h3>A) 6+2 (x+4) = 1/2 (3-x)</h3>

It's correct on ed2020 :)

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a company has two packaging machines in a unit, each with a different daily capacity. the capacity of machine 1 is defined by th
Licemer1 [7]

The required function C (m ) which represents the combined capacity of the two machines is c(m) = 2m^2 + 104m + 1704

What are functions?

  • A connection between a collection of inputs and outputs is known as a function.

The given functions are:

f(m) = (m+40)^2 + 10 \\and\\g(m) = (m+12)^2 - 50

C(m) = f(m) + g(m)

Expanding the two square brackets in the following manner to calculate that sum:

f(m) = (m+40)^2 + 10 = m^2 + 80m + 1600 + 10 = m^2 + 80m + 1610\\g(m) = (m+12)^2 - 50 = m^2 + 24m + 144 - 50 = m^2 +24m + 94

f(m) + g(m) = 2m^2 + 104m + 1704

Therefore, function C (m ) which represents the combined capacity of the two machines is c(m) = 2m^2 + 104m + 1704

Learn more about functions here:

brainly.com/question/22340031

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5 0
1 year ago
Use the method of undetermined coefficients to solve the following differential equation: y′′+4y=4x
nikklg [1K]

Answer:

y(x) = C_1 cos 2 x + C_2 sin 2 x + x

Step-by-step explanation:

given,

y′′ + 4 y = 4 x

D² y + 4 y = 4 x

(D²+4) y = 4 x

now, writing Auxiliary  equation

m² + 4 = 0

m² = -4

m = ± 2 i

now, complimentary function

y_c = e^{ax}(C_1 cos b x + C_2 sin b x)

a = 0 ,  b = 2

y_c =C_1 cos 2 x + C_2 sin 2 x

particular integral (y_p)

y_p = a x

y'_p = a

y"_p = 0

now,

y′′+ 4 y = 4 x

0+ 4 (a x )= 4 x

4 a x = 4 x

     a = 1

now,

  y_p = x

now, general equation

y(x) = y_c + y_p

y(x) = C_1 cos 2 x + C_2 sin 2 x + x

 

4 0
3 years ago
Point B is on line segment AC. Given BC = 7 and AC = 11, determine the length<br> AB.
nekit [7.7K]

Answer:

Length of AB is 4

because

AB = AC - BC

7 0
3 years ago
When James family went on the road to the carnival they were stuck in traffic. After a 20 minutes they are were 30 more miles le
Assoli18 [71]

Answer:

They would be 5.5 miles away because if you take 20 divided by 20 to get 1 minute you would have to take 30 divided by 20 to get 1.5 miles per 1 minute. Then you would have to take 1 times 35 to get 35 minutes and you would have to take 1.5 times 35 to get 52.5. Then lastly you would take 58 miles and subtract 52.5 to get 5.5 miles therefor your answer would be 5.5 miles.

Step-by-step explanation:

5 0
3 years ago
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chubhunter [2.5K]
All factors are divisible by 4x^2y^2.  Factoring this out, we get:  4x^2y^2(2x-3y+5).  D is the correct answer.
8 0
3 years ago
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