What decimal is equivalent to 4/15

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:

I think that's right cus I did this test

Answer:

The measure of ∠G is 59°

Step-by-step explanation:

When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.

In the given figure

∵ GT is a secant that intersects the circle at points H and T

∵ GE is a secant that intersects the circle at points F and E

∴ The intercepted arcs are HF and TE

∵ GT ∩ GE at G

∵ Point G is outside the circle

→ By using the rule above

∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc TE - m arc HF)

∵ m arc TE = 175°

∵ m arc HF = 57°

→ Substitute them in the rule above

∵ m∠G = [tex]\frac{1}{2}[/tex] (175 - 57) = [tex]\frac{1}{2}[/tex] (118)

∴ m∠G = 59

∴ The measure of ∠G is 59°

y = 2x - 4

y = 4x - 6

y = 3x - 4

that's what i got

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:

-6 is the missing value.....

Answer:

(-6, 8); the missing value is -6

Step-by-step explanation:

First, you need to solve the given equation for x

1: 2x + 3y = 12 (Given)

2: 2x = -3y + 12 (Subtract 3y from both sides to isolate x)

3: x = -1.5y + 6 (Divide both sides by 2)

Now, you can solve for the missing x in the solution set (x, 8):

where x = -1.5y + 6 and y = 8,

x = -1.5(8) + 6

x = -12 + 6

x = -6

So, the missing value is -6

Answer:

Step-by-step explanation:

x + 25 + 4x + 10 = 180

5x + 35 = 180

5x = 145

x = 29

<1 = 29 + 25 = 54

<2= 4(29) + 10 = 116 + 10 = 126

Answer:

y-intercept: 5

slope: 1/2

Step-by-step explanation:

The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.

First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).

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:

0.4x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

-2.4x + 3.8x - x

Step 2: Simplify

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

Answer:

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of

Answer:

hmm. I would say right.

Step-by-step explanation:

The angle when you flip your triangle is 90 degrees.

Answer:

i have no clue ngl but online theres websites that will solve them for you

Step-by-step explanation:

if you want a link lmk lol

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:

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.

2h*0.2

2h is h doubled

20% becomes 0.2

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

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

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.

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

Answer:

d)-8

Step-by-step explanation:

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Answer:

The sequence is add 3/20

Step-by-step explanation:

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

To learn more about equation of line click :

https://brainly.com/question/14200719

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