The table below shows all of the possible outcomes for rolling two six-sided number cubes.
How many possible outcomes are there?
Answer Choice
A)6
B)12
C)21
D)36

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

Standard form of a parabola:

Let's find the vertex of this parabola.

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

Simplify using PEMDAS.

Subtract 4 from both sides.

Now we have (h, k) and a of the vertex form.

In order to convert from vertex to standard form, simplify the equation by FOILing.

Distribute 3 inside the parentheses.

Combine like terms.

Therefore, we have the answer:

Vertex form:

Standard form:

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

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Answer:

y = -3x + 4

Step-by-step explanation:

3y + 9x = 12

subtract 9x

3y = 12 - 9x

divide by 3 on both sides

y = 4 - 3x

or

y = -3x + 4

Answer:

y=-3x + 4

Step-by-step explanation:

Convert standard form equation into y-intercept form

3y +9x=12

3y= 12-9x

Divide both sides by 3 to isolate the y (you can flip the equation if it is easier)

y= -3x+4

hope this helps and have a great day :)

Answer:

Option (4)

Step-by-step explanation:

x              g(x)            Ist difference          IInd difference        Ratio

1              13                      -                                   -                        -

2              3                3 - 13 = -10                         -                       [tex]\frac{3}{13}[/tex]  

3             -3               -3 - 3 = -6                   -6 - (-10) = 4            [tex]\frac{-3}{3}=-1[/tex]

4             -5               -5 - (-3) = -2                -2 - (-6) = 4             [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]

5             -3               -3 - (-5) = 2                   2 - (-2) = 4            [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]

This table depicts,

1). Ist difference is not common

2). IInd difference is common

3). Ratio is not common

Therefore, this table represents a quadratic function because the second difference are all the same value.

Option (4) will be the answer.

The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).

It is given that a point (6,-2) is rotated 90° counterclockwise about origin.

We have to find the new point after rotation.

What do you mean by rotation counterclockwise ?

If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.

As per the question ;

A point (6,-2) is rotated 90° counterclockwise about origin.

Let's assume (6,-2) = (x , y)

If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,

(x , y ) ⇒ ( y , x)

So ;

(6 , -2) = (-2,6)

So ;

The new point will be ;

= (-2 , 6)

Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).

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Answer:

2099

Step-by-step explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099

Answer: 1.74 mi

Step-by-step explanation:

30% = 0.3

5.8 × 0.3 = 1.74

Answer:

4

Step-by-step explanation:

4 is the answer

Answer:

4

Step-by-step explanation:

2/9=x/18

9x=36

x=4

Answer

when 2 triangle scales are similar the ration reduces and become a scale factor

Answer:

The scale factor is 2

Step-by-step explanation:

Answer:

$94.50

Step-by-step explanation:

150 x .30 = 45, so you can $45 off.

105 x .1 = 10.5 so you can take another $10.50 off.

The final price would be $94.50

Answer: There are 200 petals on 25 daisies, so the constant of proportional is 8

Answer: the constant of proportionality is 8

Step-by-step explanation:

Answer:

6 in long ; 4 in wide

Step-by-step explanation:

With a scale of 1:20

Scaled drawing is 3 in long ; 2 in wide

Actual dimension :

Length = 20 * 3 = 60 in

Width = 20 * 2 = 40 in

Hence, to make a scaled drawing using 1 :10

Dimension :

Length = (1/10) * 60 = 6 inches

Width = (1/10) * 40 = 4 inches

Answer:

10.20 is the greater one

Answer:

10.20

Step-by-step explanation:

Becuase that has .18 more than 10.02. Hope this helps

Answer:

3/4

Step-by-step explanation:

[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]

The solution is Yes

The point P ( 2 , 5 ) lies on the equation of line y = 3x - 1

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = 3x - 1   be equation (1)

Let the point be represented as P

The coordinates of P is = P ( 2 , 5 )

Substituting the values of x and y in the equation , we get

y = 3x - 1

when x = 2 and y = 5 , we get

5 = 3 ( 2 ) - 1

5 = 6 - 1

5 = 5

Therefore , the solution is true

Hence , the point P ( 2 , 5 ) lies on the equation of line

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Answer:

Vertical Asymptotes: x=-5

Horizontal Asymptotes: y=7

Answer:

The sequence is add 3/20

Step-by-step explanation:

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

Answer:

3

Step-by-step explanation:

[tex] | - 3| = 3[/tex]

Hope it helps you in your learning process.

the answer is 0.30 your welcome

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.

If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.

So the two conditions are:

These two facts mean that the line of reflection must go through the center of dilation.

Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

2h*0.2

2h is h doubled

20% becomes 0.2

Answer:

B

Step-by-step explanation:

Answer: B (2,1)

Step-by-step explanation:

Answer:

60try to get it done before the end of this week