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elena-s [515]
2 years ago
8

A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is go

ing to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining year?
Mathematics
1 answer:
MrRa [10]2 years ago
7 0
There is no answer for that or endless ur looking for the answer is 5x
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-4^2-17
Irina18 [472]

Answer:

Step-by-step explanation:

-4 is really  -1 * 4

-4² = -1 * 4²

-4² = -1 * 16

-4² = -16

Use parenthesis  to square

(-1 * 4)² = (-4)²

(-4)² = 16

5 0
3 years ago
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
What is 12.1 as a fraction in simplest form
Alex787 [66]
12 1/10
A quick way to get this one is to recognize that .1 is a decimal in the tenth place. Because of this, we know to put it over 10. Because 1/10 cannot be simplified, it is in simplest form. Now, simply return the whole number to the fraction. 
6 0
3 years ago
Solve the equation r+3 = 3(r-5)​
Harrizon [31]

Answer:

r-9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

brainleist?

3 0
3 years ago
Read 2 more answers
Describe the transformation from the parent<br> function: f(x) = -1/4(x - 3)^2 + 2
m_a_m_a [10]
Vertical reflection over the x-axis, shrink of 1/3, right 3, up 2
3 0
2 years ago
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