What is the probability that a phone number generated using the digits 1, 2, 2, 4, 5, 5, 6, and 2 is the number 654-5222

Answer:

Vertex means the highest or lowest coordinate in a parabola (and also absolute value)

Here we see the lowest point is (-2,0), so the vertex is (-2,0)

A standard quadratic equation is written as a(x-h)^2+k

h and k are the vertex coordinate h is x and k is y

so by finding the vertex we found that h = -2 and k = 0

so you plug it in

a(x-(-2))^2+0=y

a(x+2)^2=y

when finding a, you take a random point in the graph and plug it in and solve it

lets take (-1,1)

so its a(-1+2)^2 = 1

a(1)^2 = 1

a=1

so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

2nd: 2

4th: -4

11th: -25

Step-by-step explanation:

When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:

A(2) = 5 + (2 - 1)(-3)

A(2) = 5 + (1)(-3)

A(2) = 5 - 3

A(2) = 2

To get the 4th term you substitute in 4:

A(4) = 5 + (4 - 1)(-3)

A(4) = 5 + (3)(-3)

A(4) = 5 - 9

A(4) = -4

And we do the same for the 11th term:

A(11) = 5 + (11 - 1)(-3)

A(11) = 5 + (10)(-3)

A(11) = 5 - 30

A(11) = -25

Answer:

V=95 in3

Step-by-step explanation:

Answer:

838.08 in³

Step-by-step explanation:

volume of tank = (36×24×24)+(½×3.14×12²×24)

= 20,736 + 5,425.92

= 26,161.92 in³

the remaining water = 27,000 - 26,161.92

= 838.08 in³

Answer:

40 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The answer would be b this is because i did the math and i got 5 yards

Step-by-step explanation:

Answer: I never had this type of question before but try -21

Step-by-step explanation:

I assume -21 because that’s the total amount of yards lost. But I don’t know

Answer:

12467 x 1209 = 15,072,603

Step-by-step explanation:

You can always use a calculator to check your answers!

If this helped, please give it brainliest!

Answer:

15072603

Step-by-step explanation:

hope this helps :)

Answer:

The formula of a²-b² are as follows:

Step-by-step explanation:

(a-b)(a+b)

(a-b)(a+b) is the answer

Answer:

[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]

The answer is 6x^2. To find this, just find the greatest factor of each question, aka the greatest "common" factor (GCF), of both since it is the greatest factor they each have in common. Hope this helps!

Answer:

Hello! Your answer is, A) The arrow pointing to the right

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥

Answer:

Step-by-step explanation:

The answer is a

Answer:

2/6 so the last box

Step-by-step explanation:

2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.

Answer:

The last box

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is [tex]\hat y = a+bx[/tex] where:

[tex]a=\overline y-b \overline x[/tex]

[tex]b=\frac{r*s_y}{s_x}[/tex]

We are given that [tex]\overline y=75[/tex], [tex]s_y=8[/tex], [tex]\overline x=280[/tex], [tex]s_x=30[/tex], and [tex]r=0.60[/tex], therefore our slope, [tex]b[/tex], is:

[tex]b=\frac{r*s_y}{s_x}[/tex]

[tex]b=\frac{(0.60)(8)}{30}[/tex]

[tex]b=0.16[/tex]

Therefore, the slope of the regression line is 0.16, which can be used along with the values of [tex]\overline y[/tex] and [tex]\overline x[/tex] to find the constant [tex]a[/tex]:

[tex]a=\overline y-b \overline x[/tex]

[tex]a=75-(0.16)(280)[/tex]

[tex]a=30.2[/tex]

This means our final regression line is [tex]\hat y = 30.2 + 0.16x[/tex]

Problem 5:

The slope, [tex]b=0.16[/tex], means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), [tex]a=30.2[/tex], means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

[tex]R^{2}=(0.60)^{2}=0.36=36\%[/tex]

Problem 8:

The fraction of variability (aka. coefficient of determination), [tex]R^2[/tex], means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

Answer:

1. 26

2. 154

3. 26

4. 26

5. 154

6. 154

7. 26

Step-by-step explanation:

1 = 26°

2 = 154°

3 = 26°

4 = 26°

5 = 154°

6 = 154°

7 = 26°

Answer:

You Answer is C. 738

Step-by-step explanation:

L x W x H

A= 2 w  l   h  l  h  w  = 2  18 13.5 4  13.5 4 18  =  738

Answer:

16/26=8/13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the denominator is double of 13, using that logic multiply 8 by 2 to get 16

Answer:

-2x^2-6x-15=0

Step-by-step explanation:

Shift the 15 to the other side to get ax^2+bx+c

-2x^2-6x-15=0

Answer:

A. 6.75

Step-by-step explanation:

8x+18=4x+57

8x-4x=57-18

4x=39

4x+57=180-(8y+30)

39+57=180-8y-30

96=150-8y

8y=150-96

= 54

y= 54/8 = 6.75

Answer:

Step-by-step explanation:

A and B are non-linear; A is a quadratic and B is a cubic.

The functions y-6=x² and y=2x²+5-3x are non-linear. Therefore, options A and B are the correct answers.

A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.

Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.

A) y-6=x²

Here, the highest degree is 2.

So, the equation is quadratic.

B) y=2x²+5-3x

Here, the highest degree is 2.

So, the equation is quadratic.

C) y=x

Here, the highest degree is 1.

So, the equation is linear.

D) 2y=1/2 x

Here, the highest degree is 1.

So, the equation is linear.

E) y=1/3 -5x

Here, the highest degree is 1.

So, the equation is linear.

F) y=8+x

Here, the highest degree is 1.

So, the equation is linear.

Therefore, options A and B are the correct answers.

To learn more about the linear function visit:

https://brainly.com/question/17058347.

#SPJ2

Answer:

98

Step-by-step explanation:

147/3=49x2=98

Answer:

2n

Step-by-step explanation:

2 x 1 = 2

2 x 2 = 4

.......

2 x 5 = 10

Find the difference between the terms. e.g 4 - 2 = 2, then times it by n for the expression

Answer:

A or y = -4x

Step-by-step explanation:

2×-4=-8

1×-4=-4

0×-4=0

and so on and so forth

Answer:

8/10

Step-by-step explanation:

Answer:

Negative integers

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

30 degree

Step-by-step explanation:

because it is parallel to m1=30

The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:

At x ≈ -4.919 and x ≈ -0.488, there are local minima.

At x ≈ 1.752, there is a local maximum.

Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.

To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.

To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.

Initial guess: x_0 ≈ -5

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

where f(x) = -x^3 - 5x^2 - 3x + 9

f'(x) = -3x^2 - 10x - 3 (derivative of f(x))

x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)

≈ -4.919

Initial guess: x_0 ≈ -1

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)

≈ -0.488

Initial guess: x_0 ≈ 2

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)

≈ 1.752

After iterating through the Newton-Raphson method, we approximate the zeros as follows:

x ≈ -4.919

x ≈ -0.488

x ≈ 1.752

Now, let's analyze the behavior of the graph at each zero:

x ≈ -4.919:

When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.

x ≈ -0.488:

When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.

x ≈ 1.752:

When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.

for such more question on graph

https://brainly.com/question/13473114

#SPJ8

Answer:

24

Step-by-step explanation:

x^2+y^3

(4)^2+(2)^3

(4)(4)+(2)(2)(2)

16+8=24

Answer: B. 20

Step-by-step explanation: 1/5 of 25 is 5 and 5 of those are red so 25-5=20

Answer:

B

Step-by-step explanation:

20 of the cards are different colors than red because 1/5 of 25 is 5