The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of P if P = 180x + 250y?

Answers

Answer 1

Answer: For this problem, we must first plot of each point using the given points. Assume that each coordinate given is in the (x,y) form. To get the maximum value, we can plus in each coordinate set to the equation to see which P comes out to be the largest. For (14,2), P=3020. For (0,9), P=2250. For (6,8), P=3080. For (10,3), P=2550. The maximum value for P would be P=3080.

Answer 2

Answer:

It’s C

Step-by-step explanation:

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What is the absolute value of -22

Answers

The absolute value of -22 is 22
We write that like this:
|-22|=22

Hey there

The absolute value of -22 is 22

What is the standard form of the equation of a parabola is y = 5x^2 + 20x + 14. What is the vertex form of the equation

Answers

vertex form is $y=a(x-h)^2+k$

comlpete the square

$y=5x^2+20x+14$

group x terms

$y=(5x^2+20x)+14$

factor quadratic coefient

$y=5(x^2+4x)+14$

take 1/2 of linear coefient and square it

4/2=2, 2^2=4

add positive and negative of it inside the parentheasees

$y=5(x^2+4x+4-4)+14$

factor perfect squarer trinomial

$y=5((x+2)^2-4)+14$

expand

$y=5(x+2)^2-20+14$

$y=5(x+2)^2-6$ is vertex form

A lawnmower that regularly sells for $150 is on sale for $120. The price was decreased by percent.

Answers

Step 1:

Let us first find the decrease in amount.

Decrease in amount = 150 -120 = $30

Step 2:

Now let us find the ratio of decrease in price to original price.

So the ratio is 1/5 or in decimal its 0.2.

Step 3:

To find percentage decrease we change this decimal number 0.2 two places to the right side, so it becomes 20 %

The price decreased by 20%

4(3x 5)=-4

Solve for x and show work

Answers

Answer:

x = -2 if its 4(3x + 5) = -4

x = 4/3 if its 4(3x - 5) = -4

Step-by-step explanation:

Your missing an plus or minus sign.

4(3x + 5) = -4 / multiply contents of parentheses by 4

12x + 20 = -4 / subtract 20 from both sides

12x = -24 / divide both sides by 12

x = -2

4(3x - 5) = -4 / multiply contents of parentheses by 4

12x - 20 = -4 / add 20 to both sides

12x = 16 / divide both sides by 12

x = 16/12 / simplify

x = 4/3

Answer: -2

Step-by-step explanation:

To solve the equation 4(3x + 5) = -4, we need to follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses.

This gives us 12x + 20 = -4.

Step 2: Subtract 20 from both sides of the equation to isolate the variable term.

We get 12x = -4 - 20, which simplifies to 12x = -24.

Step 3: Divide both sides of the equation by 12 to solve for x.

Dividing both sides by 12 gives us x = -24/12, which simplifies to x = -2.

So, the solution to the equation 4(3x + 5) = -4 is x = -2.

Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

Answers

Answer:

18x + 48 = 20

Step-by-step explanation:

Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

We are given the expression:

3/4x + 2=5/6

= 3x/4 + 2 = 5/6

Rewriting the Equation so that it does not have fraction is, we Multiply both sides by the 24

= 3x/4 × 24 + 2 × 24 = 5/6 × 24

= 3x/4 × 24 + 48 = 5 × 4

= 3x × 6 + 48 = 20

= 18x + 48 = 20

Therefore, the Equation without fractions = 18x + 48 = 20

Identify the equation of a line in slope- intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1) Show your work PLEASE!!

Answers

Answer: y = 3x - 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c = intercept

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = -1/3x + 2

Comparing with the slope intercept form, slope = - 1/3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through

(2, 1) is 3/1 = 3

To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes

1 = 3 × 2 + c = 6 + c

c = 1 - 6 = - 5

The equation becomes

y = 3x - 5

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