If using the method of completing the square to solve the quadratic equation
x2 + 3x + 21 = 0, which number would have to be added to "complete the
square"?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

Answer 2

Answer:-18.75

Step-by-step explanation:x^2+3x+21-18.75=x^2+3x+2.25=

(x+1.5)^2=-18.75


Related Questions


I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3

Answers

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

What is the length from Alaska to Chicago times 5 divided by 3?

Answers

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

how can you use the multiplicative inverse to solve division problems?
(best answer gets brainliest)

Answers

Answer:

Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:

1/2/3/5

You use the method known as kfc, keep, flip, change like this:

1/2 x 5/3

Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.

And then you just answer it from there and you get 5/6

Step-by-step explanation:

I hope this helped you!

A farmer sells 6.5 kilograms of apples and pears at the farmer's market.
3
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

1.625 kg

Step-by-step explanation:

When building a house, the number of days required to build is inversely proportional
to with the number of workers. One house was built in 132 days by 4 workers. How
many days would it take to build a similar house with 16 workers?

Answers

Answer: 33

Step-by-step explanation:

algebraically find the inverse of a function​

Answers

9514 1404 393

Answer:

  1)  f⁻¹(x) = 6 ± 2√(x -1)

  3)  y = (x +4)² -2

  5)  y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

__

1) x = f(y)

  x = (1/4)(y -6)² +1

  4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

  ±2√(x -1) = y -6 . . . . square root

  y = 6 ± 2√(x -1) . . . . inverse relation

  f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

__

3) x = √(y +2) -4

  x +4 = √(y +2) . . . . add 4

  (x +4)² = y +2 . . . . square both sides

  y = (x +4)² -2 . . . . . subtract 2

__

5) x = ∛(y +4) +4

  x -4 = ∛(y +4) . . . . . subtract 4

  (x -4)³ = y +4 . . . . . cube both sides

  y = (x -4)³ -4 . . . . . . subtract 4

five million ninety thousand thirty nine​

Answers

Answer:

5,090,039

Step-by-step explanation:

Are you trying to number it out?

Answer:

5,090,039

Step-by-step explanation:

Just separate them, do them one at a time and add them all together

5,000,000

     90,000

+          039

___________

Hope this helps

~R3V0

A sandbox is shaped like a regular hexagon. The side lengths are 3 ft and the apothem 3√3 ft.

What is the area of the hexagonal sandbox?
Enter your answer as a decimal to the nearest hundredth.

area = __ft²

Answers

Answer:

46.77ft^2

Step-by-step explanation:

Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6

Answers

Answer:

4.5 is the mean/average

Step-by-step explanation:

3+1+5+4+8+6=27

27 divided by 6 = 4.5

Polygon ABCDE has a vertex at A(-4, 2). If the polygon is translated 4 units right and 2 units up, what are the coordinates of A'?

Answers

Answer:

(0,4)

Step-by-step explanation:

Add 4 to x and add 2 to y.

A rectangular lawn measuring 24 feet by 16 feet is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 660 square feet. What is the width of the flower bed?

Answers

Answer:

6 feet

Step-by-step explanation:

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46......no serve

Answer......is 6 feet

The width of the flower bed is  6 feet.

What is the area of a rectangle?The area of any shape is the number of unit squares that fit inside it. Here "unit" refers to 1, and a unit square is a square with sides of 1 unit.So the area of a rectangle is the number of unit squares within the bounds of the rectangle.Alternatively, the space occupied around this shape is called the area of the rectangle.The area occupied by the bounding rectangle is called the rectangular area.Area can be defined as the amount of space covered by a plane of a particular shape.It is measured in "number" of square units (square centimeters, square inches, square feet, etc.).The area of a rectangle is the number of unit squares that fit in the rectangle.Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and canvases.

6 feet is the width of the flower bed.

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46 which cannot be the case, therefore 6 feet is the width of the flower bed.

To learn more about area, refer

brainly.com/question/25292087

#SPJ2

Graph the line with slope -1/2 passing through the point (-1,-2)

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]

[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]

[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]

Solve for y

[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]

The above equation will then be plotted on the graph (See attachment)

The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm

Answers

area is a^2 since all the sides r the same length
i’d say between 7cm and 8cm

Consider the figure below with circles R, C, and D below, where circle R and circle D are
congruent. If RA = 42 and CE = 32, then answer the questions below.
R
D
424
E
32
с
Part A: Determine CA + ED.
Part B: Determine the combined circumference of all three circles.

Answers

Answer:

a) CA + ED = 74

Step-by-step explanation:

The complete question is attached in the image

Solution

Here the two circles R and D are congruent and thus their radius will be equal  

Hence, RA (radius of circle R ) = DE (radius of circle D)

Hence, CA + ED = CA + 42

Also, RC = CD  

CA = CE + RA  = 32

So, CA + EO = 32 +42 = 74  

9 cm
4 cm
1
14 cm
5 cm

Answers

Answer:

this is D

Step-by-step explanation:

Sean and Hope are going bowling. For each person, a game costs $4.25. Shoe rentals are $3.00. Sean gives the clerk $20 for their admission and shoe rental. How much change should he receive? *
1 point
$12.75
$5.50
$9.75
$14.50
PLZ HELPPP ME NEED IT BY TODAYYYYYYYYYY!!!!!!!!!!!!!

Answers

It’s 12.75 u egg head

Answer:

The answer is 5.50.

Step-by-step explanation:

First, you do 4.25+3.00=7.25

Second, 20-7.25=12.75

but read the beggining again it says sean AND hope so repeat the step again.

First, you do 4.25+3.00=7.25

Second, 20-14.50=5.50

FOR BRANLIEST PLEASE HELP!!

Answers

Answer:

75°

Step-by-step explanation:

<4=<105 because they are corresponding angles.

Angles along a straight line add to 180°, so <1+<4=180. Therefore <1=180-105=75°

When can you write ratios as a fraction?

Answers

Answer:

In a mathequation when needed

Step-by-step explanation:

Unit 11: Volume & Surface Area Homework 3: Area of Composite Figures find the area of each figure. found to the nearest hundredth where necessary.​

Answers

Answer: 7.5

Step-by-step explanation:

A1=1/2pir^2 A2=1/2pir^2

1/2(121pi) 1/2(16pi)

5.5 2

The area of a composite shape is the sum of the areas of its individual shapes

The area of the composite shape is 215.20 square feet.

From the figures, we have the following shapes

A semicircle with a diameter of 22 ftA semicircle with a diameter of 8 ft (i.e. 30ft - 22ft)

The area (A) of a semicircle is:

[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]

So, the area of the composite shape is:

[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]

This gives

[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]

[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]

[tex]\mathbf{A = 68.5\pi}[/tex]

[tex]\mathbf{A = 215.20}[/tex]

Hence, the area of the composite shape is 215.20 square feet.

Read more about areas at:

https://brainly.com/question/16741417

I NEED HELP LIKE ASAP PLS!!!!

Answers

Answer:

formula 3 only

Step-by-step explanation:

formula for the are of a circle is [tex]A=\pi r^{2}[/tex]

the other 2 formulas are the ones for circumference

Hows your day i just want to know: Who are your top 3 favorite rappers? And give me your or one of your favorite songs by each one?

Answers

Answer:

um mm

Brent fayiyz

all his songs

and ummm

Free brainlest! Just answer this....... WHAT IS BETTER PS4 OR Xbox if you get it right you can have it!

Answers

Answer:

Depends

Step-by-step explanation:

PS4 has a better gaming system and better games (Spiderman example)

But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.

Find the largest integer $n$ for which $12^n$ evenly divides $20!$.

Answers

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

12 = 2² · 3

20! = 2¹⁸ · 3⁸ · [larger primes]

The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.

  n = 8

Answer:

n = n

Step-by-step explanation:

explanation is on the top and he/she correct

HELP ME PLEASE!!! No links

Answers

Answer:

H 60

Step-by-step explanation:

You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60

find the length x

help pls , need asap

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]

cross multiply

3x = 6(4)

3x = 24

divide

x = 8

4:3=x:6
x=4•6/3
x=24/3
x=8
Check:
6/3=2
8/4=2
Good luck.

Subjects with pre-existing cardiovascular symptoms who were receiving subitramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 9804 overweight or obese subjects with pre-existing cardiovascular disease and/or type 2 diabetes. The subjects were randomly assigned to subitramine (4905 subjects) or a placebo (4899 subjects) in a double-blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 561 subjects in the subitramine group and 495 subjects in the placebo group. Do the data give good reason to think that there is a difference between the proportions of treatment and placebo subjects who experienced the primary outcome

Answers

Sorry just answng so that I ask again good luck

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Answers

Answer:

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.

This means that [tex]\mu = 32, \sigma = 7.5[/tex]

Sample of 34:

This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]

Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

This is the pvalue of Z when X = 30.5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]

[tex]Z = -1.17[/tex]

[tex]Z = -1.17[/tex] has a pvalue of 0.121

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Which equation represents the table of values

Answers

Answer:where the equations

Step-by-step explanation:

Herons formula triangle is​

Answers

Answer:

Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

Please Classify ∠1 and ∠2 using all names that apply

Answers

Answer:

if the sum of the two angles is 90°,then they are said to be complementary angles.
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