Mathematics High School

3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)


f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16

Answers

Answer 1

Answer: f(x) = (x −8)2

Step-by-step explanation:

Related Questions

Write 1 over 9 as a decimal and round it to 2 decimal places

Answers

Answer:

0.111

Step-by-step explanation:

1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.

Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

What is the image of the point. (6, – 7) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

Answer:

(-6, 7)

Step-by-step explanation:

the original and new points are both six units above/below the x-axis and 7 units to the right/left of the y-axis

15 divided by 1/5 as quotient

Answers

Answer:

15/1/5=15*5=75.

Step-by-step explanation:

You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?

Answers

Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

**PLEASE HELP ME**
its pre calc !

Answers

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.

Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.

Please help me!!

Answers

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

Squares have 4 equal sides. Equilateral triangles have 3 equal sides.

Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

Write 9 2/3 as a inpropper fraction

Answers

29/3

9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.

Answers

Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches

Area of a square = s²

s = side length of the square

Hence, we have ;

150 = s²

s = √150

s = 12.247

Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.

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what kind of cup that doesn't hold water​

Answers

Step-by-step explanation:

cupcake that doesn't hold the water.

If I’m not mistaken it’s hiccup

Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?

Answers

Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

At a school
Number of boys : number of girls 11:9
There are 124 boys than girls
Work out the total amount of students at the school

Answers

Step-by-step explanation:

Total ratio =11+9

=20

=120/20×124

=744

therefore the number of students are 744

How many minutes is 6:45 to 9:25 ?

Answers

Answer:

It is 15 minutes from 6:45 to 7:00. From 7:00 to 9:25 it is 2 hours and 25 minutes. Note: one hour is 60 minutes.

15 + 60(2) + 25

15 + 120 + 25

160 minutes

:)

how long will it take the wave to reach the shore?

Answers

The answer is the last one 0.6 sec

can some one help me pleaseeee :(

Answers

a) 5/8

b) 3/5

Hope this helps

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.

Answers

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

More can be learned about the normal distribution at https://brainly.com/question/4079902

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If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step

Answers

Answer:

There are 90 inches in 2.5 yards.

Step-by-step explanation:

12 inches per foot and 3 feet per yard means 36 inches per yard.

[tex]12*3=36[/tex]

Now, just multiply 2.5 yards by 36 inches/yard.

[tex]2.5*36=90[/tex]

There are 90 inches in 2.5 yards.

Round the quantity to th given place value 13.989 to the nearest tenth

Answers

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

round

Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6

Answers

The answer is -2 -1

. A rectangular trunk has a volume of 28,600 cubic inches. The trunk is 50 inches long by 22 inches wide. What is the trunk’s height

Answers

I’ve attached my woRk, hope it helps!

A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
pls give the way​

Answers

Answer:

a) 0.3

Step-by-step explanation:

The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of getting a black ball is 0.2.

The probability of getting a white ball is 0.5.

(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,

1 - (0.2 + 0.5)

= 0.3

(a) The probability of getting white balls can be written as,

P (white ball) = Number of white balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 5 ÷ 0.5

                                   = 10

Similarly, for black balls it can be written that,

P (black ball) = Number of black balls ÷ Total number of balls

Substitute all the given values to get,

Number of black balls = 10 × 0.2

                                    = 2

(c) When number of red balls are three then,

P (red ball) = Number of red balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 3 ÷ 0.3

                                    = 10.        

Hence, the answers for all the parts are 0.3, 2 and 10 respectively.

To know more about probability click on,

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can i have help with geometry??????

Answers

Answer:

Yeah sure, but I cant guarantee i will answer all the questions. What grade level?

Obviously we can help you :)

What is the slope of the graph shown below?

Answers

Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

solve pls brainliest

Answers

Answer:

95%

Step-by-step explanation:

19/20=0.95

0.95x100=95%

Answer: 95%

hope this helps ^^

Please help me I don’t know how to solve this

|-4-r|=4

Answers

Answer:

r = 0 and r = -8

Step-by-step explanation:

|-4-r|=4

-4 = -4-r = 4

0 = - r = 8

0 = r = -8

When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.

|x| = 4

-4 = x = 4

So x would equal 4 and -4 for this example.

Another example:

|x|=-5

Because it's equal to a negative, the solution is automatically no solution.

The actual answer is r = 0 and r = -8

y = x square - 4x + 6

Answers

Y= x^2 - 4x + 6
In order to solve this we also need your question!! Are we putting this in slope intercept, solving for y, or solving for X, and if so, what is one of the variables? What is the question asking?

103.8 is what percent of 64? Round to the nearest thousandth

Answers

Answer:     162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div

Step-by-step explanation:

The bakery decides to
make only 100 corn muffins on Tuesday. How many
kilograms of sugar will be needed?

Answers

Answer:

we need to know how many kilograms are in each corn muffin to answer that queastion

Step-by-step explanation:

we need to know how many kilograms are in each corn muffin to answer that queastion

We need to know the kilograms of the first muffin to get the idea of the final amount.

Does the following relationship represent a function?

Answers

No the relationship is not a function

Complete the equation line through (1,4) and (2,2) use exact numbers

Answers

Equation: y = -2x + 6

(Graphed in the image below, green dots are the points given)

I need help on 40 please

Answers

Answer:

A

Step-by-step explanation:

1000 pepperoni pizzas were 40% of total price. 40*2.5=100. That means 1000*2.5 which equals 2500.

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