Which of the following is equivalent

What does it mean when a forst grade mathmatic paper says group 1 with flowers and group2 has flower it says make the rule what

Aleks [24]

If it's like the in and out things, I think i can help. So a number goes in and and comes out. What is the rule? What happened from the in to the out?

5 0

3 years ago

Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .

Masja [62]

Answer:

y = ( x + 3 ) * ( x + 2 ) * ( x - 1 )* 11/60

Step-by-step explanation:

Lets y = f(x) in a cartesian coordinates

Having three zeros:

x = -3 ⇒ x = -2 ⇒ and x = 1

That meas that if x takes the above mentioned values " y " must be zero

therefore y must be of the form

f (x) = y = ( x + 3 ) * ( x + 2 ) * ( x - 1 ) (1)

In that case for y to be zero one of the factors should be zero or

y = 0 x + 3 = 0 and x = - 3 is a zero of the function y .

The same reasoning applies for the other two roots

Now we have to evaluate the other condition.

According to problem statement the function passes through the point ( 3, 11 ) , that means that when x = 3 , y have to be 11, therefore we plug in equation (1) that value to see what happens

y = ( x + 3 ) * ( x + 2 ) * ( x - 1 )

11 = ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) = 6*5*2 = 60

Then we adjust the expression (1) to meet the condition of the function passing through point ( 3 , 11) as:

y = ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) * 11/60 (2)

and check to see if we did right

for y to be zero x can be x = - 3 x = -2 and x = 1 in all these cases y = 0. And if x = 3 in equation (2) y = 11. And that what we want to shown. Then the solution is:

y = ( x + 3 ) * ( x + 2 ) * ( x - 1 )* 11/60

8 0

3 years ago

Tell what you would do to isolate the variable. -5c = 5/24

Masteriza [31]

To isolate the variable here is what you would do:

−5c= $\frac{5}{24}$

Step 1: Divide both sides by -5.

$\frac{-5c}{-5}$ = $\frac{5}{24}$ (A five was supposed to go underneath the 24 to show the division but whatever)

Answer: c= $\frac{-1}{24}$

8 0

3 years ago

Read 2 more answers

PLZ help What system of linear inequalities is shown in the graph?

GarryVolchara [31]

In order find the Inequalities, First we need to Find the Equations of Both the Lines.

Equation of First line :

It is passing through the Points (0 , 2) and (4 , 0)

⇒ Slope = $\frac{2 - 0}{0 - 4} = \frac{-2}{4} = \frac{-1}{2}$

⇒ Equation of the First Line : $y - 2 = \frac{-1}{2}(x)$

⇒ Equation of the First Line : x + 2y = 4

Equation of Second Line :

It is passing through the Points (1.5 , 0) and (0 , -3)

⇒ Slope = $\frac{0 + 3}{1.5 - 0} = \frac{3}{1.5} = 2$

⇒ Equation of the Second Line : y + 3 = 2x

⇒ Equation of the Second Line : 2x - y = 3

As the Shaded Area of the First Line is away from the Origin :

⇒ x + 2y ≥ 4

As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :

⇒ 2x - y < 3

So, the System of Linear Inequalities are :

⇒ x + 2y ≥ 4

⇒ 2x - y < 3

4 0

3 years ago

12x+6x^2(3x-2)-8x^2-7x

Colt1911 [192]

Answer:

x⋅(2x+1)⋅(2x+3)⋅(3x−2)

Step-by-step explanation:

Equation at the end of step 1

(((12•(x4))+(16•(x3)))-7x2)-6x

STEP

2

:

Equation at the end of step

2

:

(((12 • (x4)) + 24x3) - 7x2) - 6x

STEP

3

:

Equation at the end of step

3

:

(((22•3x4) + 24x3) - 7x2) - 6x

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

12x4 + 16x3 - 7x2 - 6x =

x • (12x3 + 16x2 - 7x - 6)

Checking for a perfect cube :

5.2 12x3 + 16x2 - 7x - 6 is not a perfect cube

7 0

3 years ago