1 5.2.3 Quiz: Completing the Square
Question 3 of 10
Solve this quadratic equation by completing the square.
x2 + 4x = 15

Answers

Answer 1

Answer:

x=5/2 or x=2.5

Step-by-step explanation:

x time 2 + 4x=15

6x=15

2x=15

2x=5


Related Questions

What is the surface area of the solid?

Answers

Answer:

im pretty sure its C

Step-by-step explanation:

answer:

c)780

step-by-step explanation:

a=2(wl+hl+hw)

=2·(10·4+25·4+25·10)

=780

a=780

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

whoknowsthecorrectanswernofakeones

Answers

Answer:

The correct answer is 30 in.

Step-by-step explanation:

In order to find the diagonal length of the face of the suitcase, you need to use the Pythagorean Theorem, a formula used to calculate the sides of a right triangle. Since the length and width of the suitcase are 24 in. and 18. respectively, that means the diagonal length will be equal to [tex]\sqrt{24^2+18^2}[/tex] = [tex]\sqrt{576+324}[/tex] = [tex]\sqrt{900}[/tex] = 30 inches.

Graph the function f(x) = 2x − 4. Click the intercepts to show the coordinates.

Answers

y-intercept: (0, -4)

x-intercept: (0, 2)

Sorry if this wasn't what you were asking for, I'm not sure if I understood your question correctly. I don't know if you asking just to graph it or if you were asking for the x and y intercepts too, along with the graph. Either way, hope this helped!

Plss help mee tyyyy

Answers

Answer:

57 i think

Step-by-step explanation:

It’s 57, your welcome

Carlos started an exercise program in
January. He kept a record of how many
sit-ups he did each day.
Which correlation value best describes
the data?
Your answer:
O r=-0.9
O r=-0.5
O r= 0
O r=0.5
r = 0.9

Answers

Zero are equal 9.0ifk

what is the solution set represented by this number line graph?

Answers

Answer:

x ≥ 2

Step-by-step explanation:

Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .

Help With box and whisker plot! Will give brainless!

Answers

False because the box has to be lower than 8 but it is in 8

What is 25% of 50= please help

Answers

Answer:

answer 12.5

Step-by-step explanation:

25% of 50 is 12.5 because 50 ÷ 4 = 12.5 Hope that helps!

In most residence, the largest bedroom is considered the Masters Bedroom. Which bedroom would be considered the Masters Bedroom based on area? * bed room 2 bedroom 1

Answers

Answer:

Bedroom 2 will be considered as the Master bedroom.

Step-by-step explanation:

Area of bedroom 1 = Area of room 1 - Area of the closet 1

Area of the room 1 = Length × Width  

                               = (2.5 + 1.4) × (4.3+0.6)

                               = 3.9 × 4.9

                               = 19.11 m²

Area of closet 1 = 1.5 × 0.6

                          = 0.90 m²

Area of bedroom 1 = 19.11 - 0.90

                                = 18.21 m²

Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)

Area of room 2 = (3 + 3.1) × (2.5 + 2.4)

                         = 6.1 × 4.9

                         = 29.89 m²

Area of bathroom = 3 × 2.5

                              = 7.5 m²

Area of Hall = 1.2 × 2.4

                    = 2.88 m²

Area of bedroom 2 = 29.89 - (7.5 + 2.88)

                                 = 29.89 - 10.38

                                 = 19.51 m²

Since, area of bedroom 2 is greater than bedroom 1.

Therefore, Bedroom 2 will be considered as the Master bedroom.

Please help asap i give you all my points!

Answers

Answer:

it dropped 9% from last year

Determine whether each pair of triangles is similar. Justify your answer.

Answers

Answer:

Your answer is C

Step-by-step explanation:

The definition of similarity is when one shape can become another after a resize, flip, slide or turn.

If you multiply AD, which is 6, by 1.5 you get 9. Which is the length AC.

If you multiply AE, which is 10, by 1.5 you get 15. Which is the length of AB.

Both triangles share angle A, so that leaves you with SAS Similarity.

pls help!
how many faces does it have?

Answers

Answer:

6

Step-by-step explanation:

I just learned this!! :)

Answer:

it has 6 faces

Step-by-step explanation:

What is the area of the figure?

Answers

Answer:

b. 366 square inches

Step-by-step explanation:

The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.

2×(1/2×10×12) = 120 in²

2×(1/2×18×12) = 216 in²

120 in² + 216 in² = 336 in²

Answer:

336 square units

Step-by-step explanation:

Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,

[tex]\frac{(base)*(hieght)}{2}[/tex]

In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,

[tex]12+12=24\\\\10 + 18 = 28[/tex]

Substitute,

[tex]\frac{24*28}{2}\\\\=\frac{672}{2}\\\\=336[/tex]

20 points ! what is the area of the surface of the desk in square feet?

Answers

9514 1404 393

Answer:

  B.  8.625 ft²

Step-by-step explanation:

The total area is the sum of the areas of the two rectangular sections and the area of the triangular section. The area formulas are ...

  A = LW . . . rectangle

  A = 1/2bh . . . triangle

Here, the dimensions are such that we can simplify the problem a bit

  total area = (1.5)(2.5) +1/2(1.5)(1.5) + (1.5)(2.5)

  = (1.5)(2.5 + 1.5/2 + 2.5)

  = (1.5)(5.75) = 8.625 . . . . . ft²

The total surface area of the desk is 8.625 square feet.

An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of calls each were monitored under normal conditions. The center can be thought of as being in control when these samples were taken. The number of calls in each sample of not resulting in a satisfactory resolution for the customer is as follows:

4 5 3 2 3 3 4 6 4 7

Required:
a. What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control?
b. Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls.

Answers

Answer:

A) p = 0.041

B) UCL = 0.1004

LCL = 0

Step-by-step explanation:

We are told that Ten random samples of calls each were monitored .

Thus; n_x = 10

We are told that each sample has 100 calls. Thus; n = 100

A) We are given the number of calls in each sample not resulting in a satisfactory resolution for the customers as;

4 5 3 2 3 3 4 6 4 7

Thus, sum of this is;

Σx = 4 + 5 + 3 + 2 + 3 + 3 + 4 + 6 + 4 + 7

Σx = 41

proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control is given by;

p = Σx/(n_x•n)

p = 41/(10 × 100)

p = 41/1000

p = 0.041

B) let's first find the standard deviation.

It's given by the formula;

σ = √(p(1 - p)/n)

σ = √(0.041(1 - 0.041)/100)

σ = 0.0198

Formula for Upper control limit(UCL) and Lower control limit(LCL) are given as;

UCL = p + 3σ

LCL = p - 3σ

Thus;

UCL = 0.041 + 3(0.0198)

UCL = 0.1004

LCL = 0.041 - 3(0.0198)

LCL = -0.0184

Rule is that when LCL is negative, we adopt LCL = 0.

Thus;

UCL = 0.1004

LCL = 0

Triangle DEF with vértices D(2,1), E(3,5), F(6,2) is reflected acreage the x-axis to make triangle D’E’F

Which rule represents the transformation?
A. (x,y)—>( x,-y)
B. (x,y)—>(-x,y)
C. (x,y)—>(y,-x)
D. (x,y)—>(-y,x)

(Pls help I don’t understand)

Answers

Answer: A

And the answer is literally on top of that question

What is the order of steps to calculate the volume of a prism?
Label the answer with the
Substitute the values
Simplify by multiplying.
Write the formula
Calculate the area of the
correct units
in for known variables.
V = Bh
prism base, B.

Answers

Multiply the area of the triangular base face times the height. Just multiply the area of the base times the height. After you multiply the base and height, you'll have the volume of the prism. then just your answer in cubic units.Apr

Answer:

answer in picture

Step-by-step explanation:

Find the value of each trigonometric ratio

Answers

Answer:

3) D) 4 / 5

4) A) 4 / 5

5) B) 7 / 25

Step-by-step explanation:

Each of these trigonometric ratios can be remembered by the moniker

SOH - CAH -TOA

Sine = opposite over hypotension

Cosine = adjacent over hypotenuse

Tangent = adjacent over opposite

3) D) 4 / 5

4) A) 4 / 5

5) B) 7 / 25

Step-by-step explanation:

Each of these trigonometric ratios can be remembered by the moniker

SOH - CAH -TOA

(Sin)Sine = opposite/ hypotenuse

(Cos)Cosine = adjacent/hypotenuse

(Tan)Tangent = adjacent/opposite

solution of f'(x) = 9x2+2x (-2,2)

Answers

Answer:

f(x) = 3x³ + x² + 22

Step-by-step explanation:

Given

f'(x) = 9x²+2x

To get f(x), we will be integrating the function

f(x) = 9x³/3 + 2x²/2 + C

f(x) = 3x³ + x² + C

at (-2,2)

2 = 3(-2)³ +(-2)² + C

2 = -24 + 4 + C

2 = -20 + C

C = 2+20

C = 22

Get the required function

f(x) = 3x³ + x² + C

f(x) = 3x³ + x² + 22

(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).
52 48 49 52 5.3
Assume that the different measurements are due only to measurement error, and that measurement error is Normally distributed. The goal is to set up an approximate 95% confidence interval for the correct measurement. In each part, answer correct to three decimal places. First find the average and SD of the data. Calculator welcome and recommended. Average of the data: SD of the data (remember, it's a small sample): Estimate the correct measurement. Attach a give-or-take value to the estimate (that is, estimate the standard error). There are 5 measurements. If measurements follow a Normal distribution (e.g., if they vary only due to chance measurement error), then the standardized average of 5 measurements follows a Student t-distribution with So, for 95% confidence, we include our estimate. degrees of freedom. standard error(s) on each side of An approximate 95% confidence interval for the correct measurement is ______.

Answers

Answer:

(48.106 ; 53.494)

Step-by-step explanation:

Given the data:

X : 52 48 49 52 53

Sample mean = ΣX / n

n = 5

Sample mean, xbar = 254 / 5 = 50.8

Standard deviation, s = 2.17 (using calculator)

The standard error (SE) : s/√n =2.17/√5 = 0.970

The degree of freedom, df = n-1

df = 5 - 1 = 4

Tscore(0.05, 4) = 2.776

Confidence interval :

Xbar ± Tscore*standard error

50.8 ± (2.776 * 0.970)

50.8 ± 2.694

Lower boundary = 50.8 - 2.694 = 48.106

Upper boundary = 50.8 + 2.694 = 53.494

(48.106 ; 53.494)

what are all the possibilities that make the inequality 2x + 3 > 11 that are TRUE

Answers

Answer: x > 4 OR (4, infinity)

Step-by-step explanation:

2x + 3 > 11 subtract 3

2x > 8 divide by 2

x > 4 your answer

Answer pls and thank you

Answers

Answer:

54 degrees

Step-by-step explanation:

So, lets go over what we know.

Angle PRS is 90 degrees(we can tell by the small square shape inside of the angle)

We also know that Angle PR is 36 degrees.

We need to find x, angle RS.

To do this, lets subtract Angle PR from Angle PRS, or 36 from 90:

90-36

=

54

Since Angle PRS - Angle PR = Anlge RS, this means:

90-36=54

So 54 is our answer!

Hope this helps!

WHICH EXPRESSION CAN GO IN THE BLANK TO MAKE THE EQUATION TRUE.
-4.5+4.4+ ? =0
A -6.7 +6.8
B -6.7 +(-6.6)
C 7.2 + (-7.2)
D 7.2 + (-7.3) ILL GIVE YOU WILL GET 95 POINTS IF YOU HELP ME SOLVE THIS!! ASAP!!

Answers

Answer:its a

Step-by-step explanation:-4.5+4.4 is -0.1 so if you add that to -6.7 you get

-6.8 + 6.8 =0

answer is a) 6.7 + 6.8

Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80. What is the new mode

Answers

Answer:

83 is still the mode

Step-by-step explanation:

The maximum possible value for the new mode is 83.

What is mode?

The data value that is repeated the most in the data set is called the mode of the given data set.

Given is that Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80.

Initially, the mode of the class of 18 students is 83. This means that most of the students scored the 83 marks in the test. After four students took the test, the maximum probability that the mode will remain 83 is the highest. Also, one of the four numbers scored 83 itself.

Therefore, the maximum possible value for the new mode is 83.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ2

find BC. any help will be appreciated:)

Answers

Answer:

4

Step-by-step explanation:

Here,BC=1/2FH

BC=8/2

BC=4

This is the required answer

hope it helps u and keep smiling :)

look at pic 10 pts will mark brainilest

Answers

Im pretty sure it would be B) 100

(14 ÷ 2) x 5 + 6

{ 3 x (4 + 1) } ÷ 5


EXPLAIN GIVING BRAINLIEST

Answers

Answer:

25

Step-by-step explanation:

(14÷2)×5+6(3×(4+1))÷5

using BODMAS

7×5+6(3×5)÷5

=7×5+6×15÷5

=35+90÷5

=125÷5

=25

Answer:

1. (14 ÷ 2) x 5 + 6 = 41

2. {3 x (4 + 1)} ÷ 5 = 3

Step-by-step explanation:

PEMDAS. VERY IMPORTANT. THIS ACRONYM WILL HELP YOU WHEN SOLVING MULTI-STEP PROBLEMS. IF YOU DO NOT KNOW IT, SEARCH IT UP. I'LL BE USING PART OF THIS ACRONYM TO SOLVE THIS PROBLEM.

First you solve things in paratheses:

1. (14 ÷ 2) x 5 + 6 -> (7) x 5 + 6

2. {3 x (4 + 1)} ÷ 5 -> {3 x 5} ÷ 5 -> 15 ÷ 5

Then, you multiply or divide next:

1. (7) x 5 + 6 -> 35 + 6

2. 15 ÷ 5 = 3

We already have the answer to number 2, but not number one, so we will keep going. Finally, you subtract or add:

1. 35 + 6 = 41

Now you have your answers. Hope this helps!

At Ken's school, tickets for a concert sold at the rate of 40 per half-hour. How many tickets were sold in 7 hours?​

Answers

Answer:

560 Tickets

Step-by-step explanation:

40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)

Multiply 80 by 7 to get 560

Sisters Sharon and Karen enjoy sleeping. Let X represent the number of hours Sharon sleeps each night, and let Y represent the number of hours Karen sleeps each night. The mean of X is 7.9, and the mean of Y is 8.4. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?

Mu Subscript s Baseline = 0.5; the mean amount of sleep Sharon and Karen get is 0.5 hours nightly.
Mu Subscript s Baseline = 8.15; the mean amount of sleep Sharon and Karen get is 8.15 hours nightly.
Mu Subscript s Baseline = 8.15; Sharon and Karen can expect to sleep a total of 8.15 hours, on average, nightly.
Mu Subscript s Baseline = 16.3; Sharon and Karen can expect to sleep a total of 16.3 hours, on average, nightly.

Answers

Answer: D

Step-by-step explanation: right on edge :)

[tex]\mu_S[/tex] = 8.15, the mean hours of sleep Sharon and Karen get is 8.15 hours nightly.

What are mean, median, and mode?

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given, Two persons 'X' and 'Y' has mean sleeping hours of 7.9 and 8.4.

Therefore, The mean sleeping hours of both combined is (X + Y)/2 which is,

= (7.9 + 8.4)/2.

= 16.3/2.

= 8.15 hours.

learn more about mean, median, and mode here :

https://brainly.com/question/15323584

#SPJ2

Calculate the average (arithmetic mean)of the list of numbers shown in the table (rounded to the nearest tenth) 1049.0 1180.0 1180.1 1348.7

Answers

Answer:

The average of the list of numbers is 1189.5

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

In this question:

Sum:

1049.0+1180.0+1180.1+1348.7 = 4757.8

Mean:

4 values, so:

4757.8/4 = 1189.5

The average of the list of numbers is 1189.5

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