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2 years ago

In the function, g(x) = -2x, the independent variable has a value of 6. Find the value of the dependent variable. Type a

Mathematics

2 answers:

Afina-wow [57]2 years ago

8 0

that the answer

Step-by-step explanation:

$\frac{47}{5}$

jonny [76]2 years ago

3 0

Answer:

g(6)

g(x)=-2x

g(6)=-2(6)

g(6)=-12

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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani

Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

$\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|$

We have the constraints:

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0

3 years ago

Pls help me solve 5.a and 5.b

Tamiku [17]

You would add both totals since they said how much was the bill includingall the totals. So $192.77+ 48.19= 240.96
Since there is 12 people that need to chip in each, you would divide that total by 12.
240.96/12 = $20.08 each person would have to pay
Hope this helped!

3 0

2 years ago

The population of West Algebra can be modeled by the equation

AleksAgata [21]

Answer:

65.7

Step-by-step explanation:

Given the population of West Algebra can be modeled by the equation

P = 30. 1.04^T

If T is the number of years since 2000 and P is the population in millions, in 2020, T = 2020 - 2000 = 20

Substitute T = 20 into the expression and get T

P = 30. 1.04^20

P = 30(2.1911)

P = 65.73

Hence the amount of people that will be there in 2020 is 65.7million people

6 0

2 years ago

in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter o

alexdok [17]

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

then ,perimeter=nc+mb+mn+bc=5+6+8+16=35

6 0

2 years ago

What is 2/5 as a percent?

Kitty [74]

2/5 multiply the top and bottom number by 20 you get 40/100 which is the same as 40%

3 0

3 years ago

Read 2 more answers