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3 years ago

What transformation transforms (a, b) (a, -b)

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

We have

(a, b ) → (a, - b ) ← reflection in the x- axis

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Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.

lutik1710 [3]

Answer:

Option b (4,1)

Step-by-step explanation:

The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function $f(x, y) = 8x + 8y$

The minimum points are found in the lower vertices of the region.

These vertices are found by equating the equations of the lines::

$3x+2y=14\\-5x +5y=10$

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

$x = 2\\y = 4$

$-8x + 3y = -29\\3x + 2y = 14$

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

$x = 4\\y = 1$

The lower vertices are:

(4, 1) (2, 4)

Now we substitute both points in the objective function to see which of them we get the lowest value of $f(x, y)$

$f(4, 1) = 8(4) +8(1) = 40\\f(2, 4) = 8(2) + 8(4) = 48$

Then the value that minimizes f(x, y) is (4,1).

Option b

5 0

3 years ago

Solve in polynomials (3/4)^-2 simplify the expression

valentina_108 [34]

$(\frac{3}{4})^{-2} = \frac{3^{-2}}{4^{-2}} = \frac{4^2}{3^2} = \frac{16}{9} = 1.777...$

6 0

3 years ago

What is the midpoint of a line segment with endpoints at (3,-1) and (8, -4)?

8090 [49]

Answer:

Step-by-step explanation:( $(\frac{3+8}{2} ,\frac{-1-4}{2} )\\\\(\frac{11}{2} ,\frac{-5}{2} )$

5 0

3 years ago

Read 2 more answers

I need to Match each equation that represents each situation.

almond37 [142]

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y

7 0

2 years ago

Pls answer quick and I will give Brainliest⭐️

Katyanochek1 [597]

Answer:

Step-by-step explanation:

679

8 0

3 years ago