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3 years ago

Find the graphed solution to the inequality. 3(x-9) < -18 Closed or open, left or right?

Mathematics

1 answer:

Setler79 [48]3 years ago

8 0

Answer:

open left

Step-by-step explanation:

We can distribute the left side to get $3x-27$ .

We can then add $27$ to both sides of the equation to get $3x$ .

We can finally divide both sides of the equation to get $x$ .

Because it's a and not a , it is closed. And because the inequality opens to the right, it faces to the left.

So, it is a open left graph.

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Ten deer were introduced into a protected preserve. Their expected population doubles each year. Which function represents the s

Shalnov [3]

Answer:

y(t)= 10 (2)^t

Step-by-step explanation:

If t is the number of years given then the expected number can be found by

y(t)= 10 (2)^t

where t takes the value 0,1,2,3, and so on.

Putting t= 0

y(t)= 10 (2)^t

y(0)= 10 (2)^0

y(0)= 10 For the start the number of deer are 10.

Putting t= 1

y(t)= 10 (2)^t

y(1)= 10 (2)^1

y(1)= 20 After 1 year it has doubled to 20

Putting t= 2

y(t)= 10 (2)^t

y(2)= 10 (2)^2

y(2)= 40 After 2 years it has again doubled to 40

Putting t= 3

y(t)= 10 (2)^t

y(3)= 10 (2)^3

y(3)= 80 After 3 years it has again doubled to 80

4 0

3 years ago

Hi, I have another one of these questions, is this correct, please help, let me know?

Anarel [89]

Answer:

I know the top one is correct so the bottom has to be as well. :)

8 0

3 years ago

FILL IN THE BLANK PLEASE HELP

AfilCa [17]

Answer:

Opposite sides are equal

Diagonals bisect each other

Step-by-step explanation:

4 0

4 years ago

Find an equation of the sphere with points P such that the distance from P to A(−3, 4, 4) is twice the distance from P to B(6, 3

NeX [460]

Answer:

Therefore, we conclude that the center of sphere at point

(27/3, -8/3, -8/3) with a radius 6.89.

Step-by-step explanation:

We have the formula for distance, we get

\sqrt{(x+3)^2+(y-4)^2+(z-4)^2} =2· \sqrt{(x-6)^2+(y-3)^2+(z+1)^2}

(x+3)^2+(y-4)^2+(z-4)^2=4·[(x-6)^2+(y-3)^2+(z+1)^2]

x²+6x+9+y²-8y+16+z²-8z+16=4x²-48x+4y²-24y+4z²+8z+184

3x²+3y²+3z²-54x+16y+16z=-143

(x²-54x/3)+(y²+16y/3)+(z²+16z/3)=-143/3

(x²-54x/3+729/9)+(y²+16y/3+64/9)+(z²+16z/3+64/9)=-143/3+729/9+2·64/9

(x-27/3)²+(y+8/3)²+(z+8/3)²=428/9

We calculate a radius \sqrt{428/9} =6.89

Therefore, we conclude that the center of sphere at point

(27/3, -8/3, -8/3) with a radius 6.89.

7 0

3 years ago

The parabola y =x^2 is scaled vertically by a factor of 5/2

NNADVOKAT [17]

to graph f (x) + k, move the graph k units up..your answer should be;

y = x ^ 2 + 5/2

7 0

3 years ago

Read 2 more answers