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sergeinik [125]
3 years ago
9

What is the range of the graph?

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

y ≥ -1

Step-by-step explanation:

range consists of all y-values contained in the solution set

the lowest y-value (as seen by the graph) is negative 1

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Answer:

680

Step-by-step explanation:

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3 years ago
If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


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3 0
3 years ago
What is 3(9-3r)= simplifyed
Gwar [14]

27-9r
explaintion:
3•9+3•-3r
27+3•-3r=
27-9r
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Answer:

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Step-by-step explanation:

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Plz Help!!!! <br>Solve for x<br>3y = 4x+ 1 ​
astraxan [27]

Answer:

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

3y=4x+1

Swap sides so that all variable terms are on the left hand side.

4x+1=3y

Subtract 1 from both sides.

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Divide both sides by 4.

4

4x

​

=  

4

3y−1

​

 

Dividing by 4 undoes the multiplication by 4.

x=  

4

3y−1

​

 

7 0
3 years ago
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