All categories

3 years ago

At what point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = 4x - 3y?

Mathematics

1 answer:

wolverine [178]3 years ago

3 0

Answer:

Step-by-step explanation:

Just see which point yields the highest value.

f(x,y)=4x-3y

Checking choice A:

(x,y)=(5,0)

f(5,0)=4(5)-3(0)=20-0=20.

Checking choice B:

(x,y)=(4,6)

f(4,6)=4(4)-3(6)=16-18=-2.

Checking choice C:

(x,y)=(7,5)

f(7,5)=4(7)-3(5)=28-15=13.

Checking choice D:

(x,y)=(8,2)

f(8,2)=4(8)-3(2)=32-6=26

Choice D yields the highest value of the points given for our relation f(x,y)=4x-3y.

You might be interested in

A classmate displays the

Natali [406]

Answer:

1 bar= 6.25 %

4 bar= ?...............(Criss cross)

x = 6.25% x 4 bar/1 bar

x = 25%

4 0

3 years ago

How to rotate 90 degree counterclockwise

Stella [2.4K]

Rotate once to the left side

3 0

3 years ago

Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Wha

LuckyWell [14K]

Answer:

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

Step-by-step explanation:

Let be $x$ and $y$ the amounts of nickels and dimes that Carrie and Joan have, as $c$ the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.

The following equations are constructed after a careful reading on statement:

Carrie's amount of money:

$0.05\cdot x = c$ (Eq. 1)

Joan's amount of money:

$0.10\cdot y = c$ (Eq. 2)

Relation between amounts of coins:

$x = y+40$ (Eq. 3)

First we eliminate $c$ by equalizing (Eq. 1) and (Eq. 2):

$0.05\cdot x = 0.10\cdot y$

Then, we reduce the resulting formula by (Eq. 3):

$0.05\cdot (y+40) = 0.10\cdot y$

$y+40 = 2\cdot y$

$y = 40$

And rest of variable are now determined:

$x = 40+40$

$x = 80$

$c = 0.05\cdot (80)$

$c = 4$

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

5 0

3 years ago

Find the area of this trapezoid. Be sure to include the correct unit in your answer. Continue 13 cm 20 cm 8 cm 5 cm 0 0/0 08 cm

kodGreya [7K]

Given:

• Upper Base of trapezoid = 8 cm

• Lower base = 20 cm

• Length of one leg (also height) = 5 cm

• Length of other leg = 13 cm

Let's find the area of the trapezoid.

To find the area of the trapezoid, apply the formula:

$A=\frac{a+b}{2}*h$

Where:

A is the area

a is the length of upper base = 8 cm

b is the length of the lower base = 20 cm

h is the height = 5 cm

Plug in the values for a, b, and h to find the area, A:

$\begin{gathered} A=\frac{8+20}{2}*5 \\ \\ A=\frac{28}{2}*5 \\ \\ A=14*5 \\ \\ A=70\text{ cm}^2 \end{gathered}$

Therefore, the area of the trapezoid is 70 cm^2

8 0

1 year ago

Darrel loaned his friend $2500 to help him with his business. If his friend pays Darrel back in 1 year with 15% simple interest,

Natali5045456 [20]

2,875; 2500 x .15 (15%) = 375; 2,500 + 375 = 2,875 Total

5 0

3 years ago

Read 2 more answers

At what point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = 4x ­- 3y?

At what point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = 4x - 3y?