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3 years ago

11

Find the absolute maximum and minimum values of f(x.y)=x^2+y^2-2x-2y on the closed region bounded by the triangle with vertices

(0,0), (2,0), and (0,2)

1 answer:

dem82 [27]3 years ago

6 0

Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.

Answers are underlined with red colour.

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HELP PLEASE ASAP

olga2289 [7]

Answer: a) degree and sign

b) end behavior: left side → +∞, right side → -∞

c) x-intercepts: x = -1.3, 0.3, 1.0

<u>Step-by-step explanation:</u>

end behavior can be determined by two things:

1) the degree of the polynomial:

if the degree is an even number, then the end behavior will be the same for both the left and right sides.
if the degree is an odd number, then the end behavior will be different for both the left and right sides.

2) the sign of the leading coefficient:

If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity

W(x) = -5x³ + 7x - 2

Degree: 3 (odd)

Leading Coefficient: negative

So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.

See attachment for x-intercepts. <em>I set the x-axis to represent tenths </em>

5 0

2 years ago

What is an equation for the line parallel to y = −x + 2 going through the point (−3, −5)?

Umnica [9.8K]

The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8

<h3>Equation of a line</h3>

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

Given the equation y = -x + 2, the slope of the line parallel to the line is -1

Substitute the slope and point (-3, -5)

y -(-5) = -1(x - (-3))

y+5 = -(x + 3)

y+5 =-x - 3

y = -x - 3 - 5

y = -x - 8

Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8

Learn more on equation of a line here: brainly.com/question/18831322

#SPJ1

7 0

2 years ago

Two mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $60 per hour. The mech

Yanka [14]

Answer:

<em>Mechanic A worked for 5 hours</em> and <em>Mechanic B worked for 15 hours</em>

I hope my answer and explanation helped!

<u>okay to get started you need to make a system of equations:</u>

x= number of hours worked by mechanic A

y= number of hours worked by mechanic B

x + y= 20

95x + 60y= 1375

<u>substitute in an equation:</u>

x + y= 20

y= 20- x

95x + 60(20-x)=1375

<u>Solve for x</u>

95x + 1200 - 60x=1375

35x =175

x= 5

<u>plug in x to solve for y</u>

x + y= 20

5 + y= 20

y=15

<u>Check work</u>

then you're done :D

3 0

3 years ago

A digital camera is priced at $129.50. There is an 8% sales tax rate. What is the sales tax for the camera in dollars and cents?

Vera_Pavlovna [14]

Answer:

10.36

Step-by-step explanation:

129.50*.08 is 10.36

in paying with tax, you pay 129.50+10.36

139.86

5 0

3 years ago

Explain 5 different ways you use Math in your everyday life.<br> This is a telpas thing btw

Jobisdone [24]

Answer:

School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!

Step-by-step explanation:

Does this count?

6 0

3 years ago

Read 2 more answers