Rewrite f(x) = 2(x − 1)2 + 3 from vertex form to standard form. (2 points)

Answer:

1

Step-by-step explanation:

The slope of the line is 1. To find slope use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], this calculates the change in y over the change in x. So plug in the known values [tex]\frac{0+3}{3-0}[/tex], this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.

Step-by-step explanation:

A container has 5 green, 4 yellow and 2 white marbles.

We need to find the probability of selecting a green marble.

The probability of getting an event is given by :

P(E) = favorable outcomes/no. of outcomes

The probability of getting green marble will be :

[tex]P(G) = \dfrac{5}{5+4+2}\\\\=\dfrac{5}{11}[/tex]

The probability of getting white marble will be :

[tex]P(W) = \dfrac{2}{5+4+2}\\\\=\dfrac{2}{11}[/tex]

Hence, this is the required solution.

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

[tex]0,9,18,27[/tex]

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

[tex]d = T_n - T_{n-1}[/tex]

Take n as 2

[tex]d = T_2 - T_{2-1}[/tex]

[tex]d = T_2 - T_{1}[/tex]

Where

[tex]T_2 = 9\ and\ T_1 = 0[/tex]

[tex]d =9-0[/tex]

[tex]d =9[/tex]

The relationship is: The sum of the previous term and 9

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

[tex]Next\ Term = 27 + 9 = 36[/tex]

[tex]Next = 36 + 9 = 45[/tex]

[tex]Next = 45 + 9 = 54[/tex]

Hence, the next three terms are: 36, 45 and 54

Answer:

5.55

Step-by-step explanation:

With reference angle 48°

perpendicular (p) = x

base (b) = 5

Now

tan 48° = p / b

1.11 = x / 5

x = 1.11 * 5

x = 5.55

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

the equation to find the slope is (y2 - y1) / (x2 - x1) so if you plug in the two points (9 - 6) / (3 - 1) you get 3/2

Answer:

[tex]\huge\boxed{\text{Slope: } \frac{3}{2}}[/tex]

Step-by-step explanation:

In order to solve for the slope between two points, we need to note that the slope between two points will be the change in y divided by the change in x, more commonly represented by this formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

We can find the change in y and change in x by subtracting the second values from the first values.

The second y value is 9, and the first is 6, so the total change is [tex]9 - 6 = 3[/tex].

The second x value is 3, and the first is 1, so the total change is [tex]3 - 1 = 2[/tex].

We divide the change in y by the change in x:

[tex]\frac{3}{2}[/tex]

Hope this helped!

Answer:

3 cm

Step-by-step explanation:

Answer:

2.5cm

Step-by-step explanation:

The shapes are similar and so have a scale-factor. We can find the scale-factor by dividing one of the lengths that we know on the bigger shape by the corresponding side on the smaller shape.

For example: PQ/LM = 6/3 = 2

Now that we know to get from the larger shape to the smaller shape, we have to multiply by 2. We can use this scale factor to find the length of the side MN.

QR = MN x 2

MN = QR/2 = 5/2 = 2.5cm

Answer:The answer is 1040

Answer:

Okay so Basically I looked at all the answers people are given and I narrowed it down. Its either 1040 or 1019

Step-by-step explanation:

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

Answer:

volume of cuboids having size 4cm 3cm and 3cm is 36cm^3 because the formula to calculate volume of cuboids is length × breathe × height.

other question I didn't understand.

Answer:

-4

Step-by-step explanation:

7-4=3

3-4=-1

-1-4=-5

Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

Answer:

0.4t

Step-by-step explanation:

1.4t-t=0.4t

Hope this helps :)

Answer:

0.4t

Step-by-step explanation:

0.8t + 0.6t = 1.4t

1.4t-1t=0.4t

Answer: 37.5 in

Step-by-step explanation:

Answer:

0.1 in per year ; 142 in

Step-by-step explanation:

Giveb that :

Diameter of tree in 1965 = 135 inches

Diameter of tree in 2005 = 139 inches

Average rate of change:

Change in diameter / change in time

(139 - 135) / (2005 - 1965)

4 / 40

= 0.1 in per year

Predict diameter in 2035;

Initial diameter + (average rate of change * (Number of years from initial)).

135 in + (0. 1 * (2035 - 1965))

135 in + (0.1 * 70)

135 in + 7 in

= 142 in

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

Answer:

Volume of the bucket

Step-by-step explanation:

Volume is how big a 3D object is. Area is the size of a 2D object/plane. Perimeter is length of all the sides added up. We would need volume for this.

Answer:

Step-by-step explanation:

Answer:I'm guessing 48

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Took the test

Answer:

can someone give us the answer if its independent or dependent

Step-by-step explanation:

Answer:

z= -30!!

Step-by-step explanation:

z - 8 = -38

  +8     +8

   z = -30

Answer:

B. 6 sides

Step-by-step explanation:

Interior angles of a n side Regular Polygon = (180n – 360) / n

120 = (180n – 360) / n

120n =180n - 360

180n - 120n = 360

60n = 360

n = 6

check: sum of interior angles of 6 side polygon: 180 * (6-2) = 720

720/6 = 120