All categories

3 years ago

Determine the center and scale factor for the dilation shown below

Mathematics

1 answer:

iren2701 [21]3 years ago

3 0

A center at q scale factor of 1/2

You might be interested in

The temperature started at 82° and continued to rise at a rate of 0.6° each hour the temperature is now 85° determine the number

Gnesinka [82]

Answer:

5 hours

Step-by-step explanation:

Our goal here is 3 F because 82+3=85

Ok so you start at 82. For example, you can do 0.6×1=0.6 (no)

0.6×2=1.2 (no)

0.6×3=1.8 (no)

0.6×4=2.4 (no)

0.6×5=3 (yes)

82°+3°=85°

8 0

3 years ago

A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven

Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y) = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$ .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$ .............(ii)

Solving (i) and (ii),

4 x (i) ⇒ 272x - 32y = 400

(ii) ⇒ (-) 8x - 32y = -50

264x = 450

∴ $x=\frac{450}{264}=\frac{75}{44}$

$y=\frac{175}{88}$

So, x ≈ $ 1.70 and y = $ 1.99

R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0

3 years ago

PLS HELP!!! factor: a. 16b^2c^12-0.25 b. 81x^6y^2-0.36a^2

mafiozo [28]

Answer:

Step-by-step explanation:

a. 16b^2c^12-0.25 can be rewritten as follows because it is the difference of two squares:

(4bc^6 - .5)(4bc^6 + .5)

b. 81x^6y^2-0.36a^2

is the difference of two squares, just like (a) (above); its factors are:

(9x^3y - 0.6a)(9x^3y + 0.6a)

7 0

3 years ago

Evaluate: [(21 + 6) − 32] ÷ 9.2 A) 4. B) 4.6. C) 1. D) 52.

Dima020 [189]

[(21 + 6) - 32] : 9.2 = (27 - 32) : 9.2 = -5 : 9.2 = -46

5 0

3 years ago

When two rays show a common endpoint they form an angel true or false

kotegsom [21]

When two rays show a common endpoint they form an angel : TRUE

7 0

3 years ago