What is the maximum for: P = 3x + 2y

Answers

Answer 1

Answer:

The maximum value of the function P= 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16


Related Questions

If a function f is increasing on (a,b) and decreasing (b,c), then what can be said about the local extremism of f on (a,c)?

Answers

Answer:

The point (b, f(b)) is a local maximum.

I dont understand even where to begin on this, please help!​

Answers

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

[tex]f(x)=-2x^2-3x-8[/tex]

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

[tex]\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}[/tex]

And:

[tex]\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}[/tex]

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Calculate the slope:

[tex]m=\frac{-52-(-35)}{4-3}=-17/1=-17[/tex]

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.


Name two points on a line that has a
slope of a 5/8

Answers

24,10 and 16,5 have slope of a 5/8.

Ryleigh receives her pay monthly. Her deductions include $112 in Federal Income Tax, State Tax of 3.5% of gross, City Tax of 2.5% of gross, as well as Social Security and Medicare taxes. This month her paycheck is $5,161.28. What is Ryleigh's monthly gross pay?

Answers

9514 1404 393

Answer:

  $6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

  state tax + city tax + social security + medicare

  = 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

  gross(1 -13.65%) -112 = 5161.28

  gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

Answer:

Hey!! ✿

Step-by-step explanation:

 ₜₕₑ ₐₙₛwₑᵣ ᵢₛ   $₆,₁₀₆.₈₇!! ᵢ ₘᵢgₕₜ bₑ ₗₐₜₑ ᵢ'ₘ ₛₒ ₛₒᵣᵣy ♥

Brett can swim 5 laps in 16 minutes. How many laps can he swim in 48 minutes?

Answers

I believe it’s 20 laps

An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work

Thank you

Please try to answer quickly thanks!

Reward is 16 Brainly points ;)

Answers

Answer: $8.4

Step-by-step explanation:

To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.

The first term of a sequence is 9 and the common difference is 5. Which of the following is the fifth term of the sequence?

Answers

Answer:

29

Step-by-step explanation:

9+5=14+5=19+5=24+5=29

5
Rectangle WXYZ is located on the coordinate plane. The coordinates for
three of the vertices are listed below. Rectangle WXYZ is dilated by a scale
factor of 2 with a center of dilation at the origin, to form W'X'Y'Z'. What are
the coordinate of vertex X'? *
W (1,6)
Y (3, 2)
z (1,2)
Explain how you determined your answer.
Your answer

Answers

Answer:

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f ​

Answers

Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f

What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

Answer: y=2x+2

Step-by-step explanation:

It’s math can you help with number 3 please?

Answers

Answer:

25

Step-by-step explanation:

16+9

Answer:

The correct should be 25.

Step-by-step explanation:

If this is incorrect let me know and I will correct it.

The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number

Answers

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

-------------

solve by any method to get:

x = 65

y = 13

please help i will give brainlyest

Answers

Answer:

1 (6/6)

Step-by-step explanation:

because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)

Answer:

6/6 which would be simplified as 1

Step-by-step explanation:

First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6

Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one

The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?

Answers

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:​

Answers

Answer:

Larger is -30

Smaller is -20

Step-by-step explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer:

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30  

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Step-by-step explanation:

x + y = -50

x - y =  -10                             Add

2x = - 60                               Divide both sides by 2    

2x/2 = -60/2                         Do the division

x = - 30

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

-30 - y = - 10                         Substitute - 30 for x in the second equation

-30+30- y = -10 + 30            Add 30 to both sides

-y = +20                                Divide by -1 on both sides

y = - 20

i need help with this​

Answers

The second number is 40. This is because 5 was multiplied by 2 to be tuned into 10

no one helps me bruh....

Answers

Answer:

I'm sorry I just dont know it....

Lines AC and Lines CB are perpendicular because both set of lines intersect at right angles

Make w the subject of the formula y - aw = 2w - 1

Answers

Answer:

[tex]w=\frac{y+1}{a-2} (a\neq 2)[/tex]

Step-by-step explanation:

[tex]y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)[/tex]

Hope this helps!

×5=30
×5=300
×5=3,000
×5=30,000
×5=300,000
×5=3,000,000
×5=30,000,000

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

From up to down :

[tex]6[/tex]

_________________________________

[tex]60[/tex]

_________________________________

[tex]600[/tex]

_________________________________

[tex]6,000[/tex]

_________________________________

[tex]60,000[/tex]

_________________________________

[tex]600,000[/tex]

_________________________________

[tex]6,000,000[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

1. 6

2. 60

3. 600

4. 6,000

5. 60,000

6. 600,000

7. 6,000,000

Step-by-step explanation:

Please help with this

Answers

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

How many shelves did Andrew stock per hour?


A. 15


B. 24


C. 30


D. 12

Answers

Answer:

D

Step-by-step explanation:

look at one hour and you will see that when it is at one hour it is a little bit over 10 but not enough to be 15

plz mark me brainliest like the other person didnt even explain.

Let f(x)=2x+7 and g(x)=3x2+2 Find f(g(3))

Answers

The answer is 65

I hope it will help

The required simplified solutions of the function f(g(3) ) = 65.

Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65

Thus, the required simplified solutions of the function f(g(3) ) = 65.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

what is (567x237)x(467x939)
i will mark brainliest

Answers

Answer:

58926938427

Step-by-step explanation:

Answer:

Folow the PEMDAS rules wich show the order in which to do things:

Parenthesis first, then Exponent, then Multiplication/Division and finally Additiion and Subtraction. Therefore we solve whats in parenthesis first then work from there

567x237 is 134,379 and 467x939 is 438,513

now that we solved whats in parenthesis multiply the remaining values:

134,379x438,513=58,926,938,427

58,926,938,427 is correct

Step-by-step explanation:

Is the network in d) an Euler circuit? Can this network can be traversed?
...
А
B
А
B
b)
G
X
F
H
H
E
D
D
А
E B
А
B
d)
G
E
F
DF
C
D
C

Answers

Answer:

If a graph is an Euler Circuit that mean that it can be traversed and begins and has all even verticies.  This allows you to start and stop at the same verticie.

Step-by-step explanation:

The 8th term of an AP is 18 and 12 term is 26 find the 20th term​

Answers

Answer:

the correct answer is 38th terms is triple its 18th term

Determine the horizontal asymptote of the function. If none exists, state that fact. f(x) 5x4 + 2x2 -1 3x5-x+4 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote, (Type an equation.) and the bottom asymptote is O B. The function has two horizontal asymptotes. The top asymptote is (Type equations.) O C. The function has no horizontal asymptotes.​

Answers

Answer:

I believe this is A

Step-by-step explanation:

Answer: B

Step-by-step explanation:

plssss i need help rn ​

Answers

Answer:

3

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2)   &    (x₂ , y₂) = (3 , 10)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]

m  = 4

y - y₁ = m (x - x₁)

y - [-2] = 4(x - [-1])

y + 2 = 4(x + 1)

y + 2 = 4x + 4

    y = 4x + 4 - 2

    y = 4x + 2

Solve the inequality for u.
4.
u>6
9
Simplify your answer as much as possible.

Answers

Answer:

u ≤ -27/2

Step-by-step explanation:

hope this helps

Frank has a chance of receiving an A grade in statistics, a chance of receiving an A grade in geology, and a chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both). Write your answer as a decimal (not as a percentage).

Answers

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

A rose bush was 2 feet tall when Candace planted it. The rose bush
grew 1 (1/4) feet per year. The rose bush is now 8 (1/4) feet tall.

Answers

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

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