y"+y'-6y = 12e^3t+12e^-2t

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation: }[/tex]

[tex]\rm{x - y = 30}[/tex]

[tex]\large\text{Solving: }[/tex]

[tex]\rm{x - y = 30}[/tex]

[tex]\rm{\rightarrow x - 15 = 30}[/tex]

[tex]\large\text{Add \boxed{15} to both sides:}[/tex]

[tex]\rm{x - 15 + 15 = 30 + 15}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\rm{x = 30 + 15}[/tex]

[tex]\rm{x = 45}[/tex]

[tex]\large\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf x \frak{ = 45}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Yes

Step-by-step explanation:

start with 5y=x-5

divide both sides by 5 to get:

y= x/5 - 1

since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.

Answer:

5

Step-by-step explanation:

Answer: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Step-by-step explanation: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Answer:

a. Find y if w = -4 --- y = 14

b. Find y if w = 10 --- y = -14

Step-by-step explanation:

This is all about substitution!! For question a, we need to substitute "w" with "-4" ...

2 (-4) + y = 6

We know that a positive time a negative equals a negative...so 2 · -4 is -8.

-8 + y = 6

Now let's add 8 on both sides to isolate the variable...which equals to

y = 14

Onto question b...We substitute w with 10.

2 (10) + y = 6

 = 20 + y = 6

Subtract 20 from both sides to isolate "y"

y = -14

Hope this helpsss :D

Answer:

[tex]14 + 4 + 5.5 + 3 + 5.5 {?}^{2} [/tex]

Answer:

Step-by-step explanation:

We have 2 congruent large prisms and one small one.

Volume of a large one= 2*2*14 = 56 cm^3.

Volume of smaller one = 4*3*2 = 24 cm^3.

So volume of the whole prism

= 2*56 + 24

= 136 cm^3.

Surface area of a large one = 3*2*14 + 2*2*5.5 + 2*2*2 = 114

Surface Area  of smaller one = 4*3*2 + 2*2*4 =  40

So surface area of the whole prism

= 2 * 114 + 40

= 268 cm^2.

Answer:

A 3.00/12=.25 ea

B 7.50/3=2.50/1lb

C 2.00/4=.50ea

S 3.50/10=.35/ea

Here you go! Hope it helps.

Please consider brainly for my answer.

Thank you -= Miss Hawaii

Answer:

x=-3, That is the x value of the vertex, and it is a vertical parabola.

Answer:

a. 9m/s × 27s = 243m

b. -6°C/3hrs = -2°C/hr

Answer:

18 Square Feet

Step-by-step explanation:

ABC is 3 times larger then DEF so you multiply 6 by 3 which gives you 18. Let me know if I'm wrong.

Answer:

18 square feet

Step-by-step explanation:

Because the area of ADEF =6 sq ft

And you have 12ft in A and B

Answer:

17.49955

Step-by-step explanation:

Hope this helps

Answer:

option b

hope ut is help full

500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.

=============================================================

Explanation:

s = number of pairs of shoes

50s = amount spent on shoes ($50 per pair)

50s+400 = total amount spent on shoes and uniforms

That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s

We have enough info to determine the answer must be choice B

We can stop here if you wanted.

----------

Let's solve that equation for s

500 = 400 + 50s

400 + 50s = 500

50s = 500-400 .... subtract 400 from both sides

50s = 100

s = 100/50 .... divide both sides by 50

s = 2

This means he can buy 2 pairs of shoes.

Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

[tex]\frac{-7}{2(1)} =\frac{-7}{2}[/tex]

Vertex:

[tex]y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}[/tex]

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

[tex]y= 0^{2} +7(0) -8\\\\y= -8\\[/tex]

Answer:

14.1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Da"B"a"B"y

2 B so

"B" graph "B"

↑that explains it

Answer:

I'm not sure what this is asking but footaction is cheaper

Step-by-step explanation:

footlocker the shoes (single pair) is 69.98/2 or 34.99

footaction is 99.99/3 or 33.33

Answer:

7.5 < 7.5061 < 7.56 < 9.213

Step-by-step explanation:

Answer:

[tex]f(x) = 3 \: \: \: \: for \: \: \: \: - 6 < x < 1 \\ f(x) = - x \: \: \: \: for \: \: \: \: 1 < x < 6[/tex]

First: Find out their decimal form.

- 2 1/6 as a decimal is 2.16

7/3 as a decimal

To get 7/3 converted to decimal, you simply divide 7 by 3. Don't worry. You don't need to get the calculator out, because we did this for you.

7/3 as a decimal is:

2.333333333

Well, 5 is like the point where it is, and 2 is the constant of proportionality.

Answer:

0.4

Step-by-step explanation:

2= slope *5 ,slope = 0.4

Answer:  $1.40

Work Shown:

x = cost before markup

1.45x = cost after the 45% markup

1.45x = 2.03

x = (2.03)/(1.45)

x = 1.40

Answer:

26

18

10

6

hope this will help u

1. The equivalent rational expression with the lowest common denominator of   [tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex]   is [tex]\frac{2}{(d+5)(3d-1)}[/tex]

2. The equivalent rational expression with the lowest common denominator of [tex]\frac{3d}{3d^{2} - 22d + 7}[/tex]  is [tex]\frac{3d}{(d-7)(3d-1)}[/tex]

1.

  [tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex]

Let factorise the denominator below

3d² + 14d - 5

-15 and 14

Two numbers we can multiply to get -15 and add to get 14 are 15 and -1.

Therefore,

3d²- d + 15d - 5

d(3d - 1) + 5(3d - 1)

(d+5)(3d-1)

Therefore, the equivalent rational expression with the lowest common denominator will be

[tex]\frac{2}{(d+5)(3d-1)}[/tex]

2.

[tex]\frac{3d}{3d^{2} - 22d + 7}[/tex]

Factorise the denominator

3d²- 22d+7

3d²- d - 21d + 7

d(3d - 1) - 7(3d - 1)

(d - 7)(3d - 1)

Therefore, the equivalent rational expression with the lowest common denominator will be

[tex]\frac{3d}{(d-7)(3d-1)}[/tex]

read more here: https://brainly.com/question/19756399?referrer=searchResults

Answer:

21.6 magazines

Step-by-step explanation:

260/12=21.6

Answer:

The student must pay 4247.5 - 4000 = 247.50 dollars in interest

Step-by-step explanation:

Answer:

it's an scalene triangle

having all the sides and angels different from each other

Step-by-step explanation:

brainliest plz

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let y represent the weight of object on earth and x represent the weight of object on the moon.

y ∝ x

y = kx

When y = 66, x = 10.92, hence:

66 = 10.92k

k = 6

When y = 185 lb:

185 = 6x

x = 30.8 lb

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Find out more at: https://brainly.com/question/25225528

Answer:

30.8lb

Step-by-step explanation:

First, find the tax rate for a person whose taxable income is $130,000. By looking at the table, you can see the tax rate is 33%. To find the total tax, multiply 33% by $130,000.

[tex]0.33 \times 130000 = 42900[/tex]

Thus, the tax this person has to pay is $42,900.