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

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.

The answer is -2 -1

Step-by-step explanation:

Total ratio =11+9

=20

=120/20×124

=744

therefore the number of students are 744

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

round

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.

a) 5/8

b) 3/5

Hope this helps

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.

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]

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.

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Step-by-step explanation:

cupcake that doesn't hold the water.

Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

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.

Answer:

95%

Step-by-step explanation:

19/20=0.95

0.95x100=95%

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

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

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.

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:

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.

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.

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

Step-by-step explanation:

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!

Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

Answer:

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

Answer:

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

Step-by-step explanation:

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

:)

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

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

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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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