Find all solutions to the equation.

7sin2x - 14 sin x + 2 = -5

Answers

Answer 1

Answer:

Step-by-step explanation:First, group and combine like terms:

x

3

+

2

x

2

+

7

x

2

+

14

x

x

3

=

(

2

+

7

)

x

2

+

14

x

x

3

+

9

x

2

+

14

x

Next, factor out an

x

from each term in the expression:

(

x

x

2

)

+

(

x

9

x

)

+

(

x

14

)

x

(

x

2

+

9

x

+

14

)

Because

7

+

2

=

9

and

7

2

=

14

we can factor the quadratic term as:

x

(

x

+

7

)

(

x

+

2

)


Related Questions

I need help with This one

Answers

Answer:

1 and 2

Step-by-step explanation:

If y was 1: -2 x 1 + 18 = -2 + 18

= 16  This works

If y was 2: -2 x 2 + 18 = -4 + 18

= 14  This works

If y was 3: -2 x 3 + 18 = -6 + 18

= 12  This does not work since -2y + 18 has to be greater than 12.

Your answer would be 1&2 I hope this helps!!!!!!!!!

Which model represents 2.36 divided by 4?

Answers

Answer:

[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]

Which expressions have a value of 16/81? Check all that apply.​

Answers

Answer:

2) 4/9

Step-by-step explanation:

well when you simplify you will get this awnser.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }[/tex]

[tex]\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]

[tex]\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]

[tex]\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}[/tex]

[tex]\large\text{Option B. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}[/tex]

[tex]\large\text{Option C. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]

[tex]\large\text{Option D. could POSSIBLY be your ANSWER}[/tex]

[tex]\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}[/tex]

[tex]\large\text{Option E. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

RSTUV - EABCD. Find AE.
T
8
C
U
6
4
S
B
D
6
v
4
A
R
m
AE =

Answers

9514 1404 393

Answer:

  AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

  EA/RS = BC/TU . . . corresponding sides are proportional

  EA/6 = 4/8 . . . . . . . substitute given lengths

  EA = 6(4/8) = 3

The length of AE is 3 units.

(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.


A: At her current pace, how many items will Kristina sell in 28 days?

B:Is she on track to meet the goal? Explain

Answers

A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal. By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.

The discount price of a hat is $24 whats the regular price if the discount is 20%

Answers

Answer:

30

Step-by-step explanation:

discounting by 20% is the same as marking to 80% of the original cost. 80% = .8

set up equation and solve

.8x=24

x=30

Evaluate -x+23y if x=9 and y=2

Answers

Answer:

The answer is 37

What is the equation for calculating the area of a triangle?

A = 1/4 base · height
B = length · width
C = pi · height
D = 1/2 base · height

Answers

Answer:

A= 1/2 base*height

Step-by-step explanation:

: )

The correct equation for calculating the area of a triangle is D = 1/2 base · height.

The equation for calculating the area of a triangle is D = 1/2 base · height. This formula represents the most commonly used method for finding the area of a triangle.

To use this formula, you multiply the base of the triangle by its corresponding height, and then divide the result by 2.

This is because the area of a triangle is equal to half the product of its base and height.

By dividing by 2, we account for the fact that a triangle is essentially half of a parallelogram.

Therefore, the correct equation for calculating the area of a triangle is D = 1/2 base · height.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ4

I WILL GIVE BRAINLIEST IF FIRST PERSON GET THE ANSWER RIGHT HELP!!!!!!!!!!!!
The figure shows a carpeted room. How many square feet of the room are carpeted?


A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 11 feet. The line on the left is labeled 9 feet. The side on bottom is labeled 6 feet, and the side adjacent to it on the right is labeled 5 feet


69 square feet

74 square feet

99 square feet

129 square feet

Answers

Answer:

i would say 74 but i may be wrong

Step-by-step explanation:

Find Median in this data set
12 65 3 8 23 64 19 53 0 24 57 15 39. with explanation pls!​

Answers

Answer:

23

Step-by-step explanation:

12, 65, 3, 8, 23, 64, 19, 53, 0, 24, 57, 15, 39

First put in order.

0, 3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64, 65

Eliminate each number alternating from beginning and end like so.

3, 8, 12, 15, 19, 23, 24, 39, 53, 57, 64

Keep doing until you get to the middle.

8, 12, 15, 19, 23, 24, 39, 53, 57

12, 15, 19, 23, 24, 39, 53

15, 19, 23, 24, 39

19, 23, 24

23

Since 23 is the last remaining number, that is the median.

A set of data is summarized by the stem and leaf plot below.

Stem Leaf
1 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9
2 0 0 0 3 3 4 5 8 8
3 0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9
4 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9


The value 52 appears _________time(s) in the data set. The value 47 _________appears time(s) in the data set.

Answers

Answer:

0 ; 1

Step-by-step explanation:

Given the dataset :

Stem _____ Leaf

1 _______ 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9

2 _______0 0 0 3 3 4 5 8 8

3 _______0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9

4 _______ 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9

The value 52 appears 0 times in the dataset

This is because the stem does not contain the digit 5.

The value 47 appears 1 time(s) in the data set ; stem of 4, leaf 7

Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.

Answers

Answer:

18 naps

Step-by-step explanation:

We have the keyword each, so we are multiplying, so our equation is:

3 x 6 = 18

So, Katie's baby napped for 18 hours in all

Answer:

18 is the answer  

10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.

Answers

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

  = 11 + 1

  = 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answers

Complete Question

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

[tex]C=27535.5881128[/tex]

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

   [tex]C=\frac{starting salary}{CPI for 2013(index} *CPI for 2003(index)[/tex]

   [tex]C=\frac{34,862}{232.957} *184[/tex]

Therefore C the comparable starting salary is givrn to be

   [tex]C=27535.5881128[/tex]

   [tex]C=27536 appro[/tex]

Anyone mind helping me? 4.5+x=11?

Answers

Move all terms not containing x to the right side of the equation.

x = 6.5

Add these two expressions … 15.5y - 10.3 and -35.4y + 5

Answers

Answer:

-19.9y-5.3

Step-by-step explanation:

Hi I got -19.9y-5.3 hope it’s right

which ofthe following are equalivilent to -7?
-49/-7
0/-7
49/-7
-21/3
21/3

Answers

-49/-7, 49/-7, -21/3

Find the difference.

Answers

I think I’m not sure -3/20a

Find the slope of the line that passes
through these two points.
(-2, 1); (3, 2)

Answers

Answer:

1/5

Step-by-step explanation:

as 2-1/3-(-2)

Equals 1/5

PLEASEE HELP IM BEGGING YOU

Answers

Answer:

1 7/12

Step-by-step explanation:

Its 1 7

/12

Answer:

1 7/12

Step-by-step explanation:

Hope this helps!

Brainiest?

Find the scale factor of PQRS to JKLM and the values of w, x, and y.

Answers

D cause Times x by y and your answer should be

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

Learn more about Scale Factor here :

https://brainly.com/question/3819163

#SPJ3

Please help me with this question

Answers

Answer:

1. 3 x 2 = 6 / 4 x 3 = 12 = 6/12 [simplify] = 1/2 thats the first answer, just do how i did it to get the others, its pretty simple

The last one is 4/9.

A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units

Answers

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

Write an equation for line N

Answers

Answer:

y=x-1

Step-by-step explanation:

what is 5x^2y^-3 simplified?

Answers

Answer:

(5x^2)/(y^3)

Step-by-step explanation:

Answer:

(5x^2)/(y^3)

Step-by-step explanation:

For the given fact below, which subsequent true/false statement is true?

Answers

Answer:

Step-by-step explanation:

Mel passed the math class.

Mel failed the math class.

Mel likes math.

Mel took math this semester.

Question 15

10 Points

Indicate the most appropriate if-then statement that the English sentence represents:

People 25 years or older do not pay an additional car rental fee.

If a person is 25 years old or older, then the person does not pay an additional car rental fee.

If a person is 25 years old or younger, then the person does not pay an additional car rental fee.

If a person does not need to pay an additional car rental fee, then the person is 25 years old or older.

Unknown

Question 16

10 Points

Given: If X, then Y. If Y, then Z.

Y is true. So:

X is unknown, Z is unknown

X is unknown, Z is true

X is false, Z is true

X is true, Z is true

Question 17

10 Points

Using everyday knowledge, which of the following statements is an if-then statement whose reverse is also correct?

If the TV is unplugged, then the TV will not turn on.

If the light bulb was recently on, then the light bulb is hot.

If an ambulance has emergency lights on, then cars on the road pull over.

If the wind is blowing, then the weather is chilly.

Question 18

10 Points

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.

Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling.

/ Statement 2: If the sprinklers are on, then the grass is wet.

Forward-only / Forward-only

Forward-only / Forward and reverse

Forward and reverse / Forward-only

Forward and reverse / Forward and reverse

Question 19

10 Points

Given: If A AND B, then C. Given: The if-then statement's reverse is also correct. Given A is false, B is false. What is C?

True

False

Both true and false

Unknown

Question 20

10 Points

What pages will be favored for the given search? Search terms: Michael OR Jordan

Pages about Michael Jordan

Pages about Michael, plus pages about OR, plus pages about Jordan

Pages about Michael, plus pages about Jordan

Pages about Michael, plus pages about Jordan, plus pages about both

Question 21

10 Points

The rules for a soccer player receiving a yellow card are as follows:

IF a player

delays-restart

OR (dissents-by-word OR dissents-by-action)

OR ((enters OR re-enters OR leaves) AND NOT (had-permission))

OR ((corner-kick OR free-kick OR throw-in) AND fails-respect-distance)

OR commits-persistence-offences

THEN the player should receive a yellow card

A player leaves the field with permission. Later, the player re-enters the field without permission. The player:

Should receive a yellow card

Should not receive a yellow card

Should receive a yellow card only if the player also delays the restart

Should receive a yellow card only if committing all the other 4 offenses too

Question 22

10 Points

What percentage of people partake in physical activity and abstain from smoking, but do not eat fruit and vegetables?

1%

5%

10%

14%

Question 23

10 Points

Given the true/false statements are true (facts), select the best logical induction made from those statements:

Mo likes oranges. Jai likes oranges. Ben likes oranges.

People don't like apples

People only like oranges

People like oranges

People like fruit

Question 24

10 Points

Given a function described as the table below, what is y when x is 2?

0

1

2

4

Question 25

10 Points

Given a function described as the graph below, what is y when x is 3?

1

3

6

10

Question 26

10 Points

The figure below shows total costs for three gym memberships. Which is the most accurate statement?

Of the 3 memberships, Monthly is cheapest for under 5 months, while Standard is cheapest for over 10 months.

Platinum is costliest for any duration

Monthly is cheapest for any duration except for 5-10 months

Standard is cheapest for a duration between 5-10 months; other plans are cheaper for shorter or longer durations.  

Question 27

10 Points

The figure shows estimated medical costs versus what a user actually pays for three health insurance plans with different deductibles. For which plan does the user pay the least for estimated medical costs of $4,000?  

$500 deductible plan

$1,000 deductible plan

$2,000 deductible plan

The user pays the same for all three plans.

Question 28

10 Points

What is the value of cell C2?

2

24

50

64

Question 29

10 Points

What formula should be entered in A3 to compute A1 divided by C3?

=A3/A1

=A1/C3  

=A1*C3

=C3/A1

Question 30

10 Points

Based on the vertical bar chart below, in which of the following months were approximately 10% of professional European soccer players born?

January

April  

October

December

Do you have additional content?

You can add text, images, and files that support your answers.

Add Content

Details & Information

 

Assessment due date

2/2/21, 1:59 AM (EST)

 

Goals & standards

Aligned with 2 goals

 

Attempts

1 attempt left

Grading

Maximum points

300 points

Description

Complete the midterm exam. You have one attempt at the exam. So, be sure you review all previous course

Hence , correct option is Option B i.e. Mel did pass the class.

How to Solve:

The statement says that Mel scored C+ is Chemistry.

We will approach our answer logically by examining each option.

Option A says Mel does not like chemistry. This Cannot be true because maybe Mel likes chemistry but he just has scored less or maybe this C+ is an achievement for Mel.

Option B says that Mel did pass the class. This is possible because a student is considered as not qualified if he/she scores D or below, but Mel has scored C+ which is above the qualifying criteria.

Option C says that Mel did not achieve a passing grade for the class which is false because C+ is a passing grade scored by Mel.

Option D is Mel took math this semester which doesn't makes any sense.

hence, Option B is correct.

Learn more about Assertion and Reason at:

https://brainly.com/question/20834329

#SPJ2

please help y'all no matter what I do I cannot figure this out please help what number would you add to both sides to complete the square in this trinomial x ^ 2 + 6x = -5 and the options are 6 , 9 , 12 and please show how you did it so I can figure out the rest of my homework ​

Answers

Answer:

Im sorry im not sure

Step-by-step explanation:

please i need help with 4th grade math please write the answer and shiw the solution hownto solve the problem step by step.thank you much appreciated.


Aaron has between 100 and 110 baseball cards in his collection.If he counts his cards 2 at a time,he has 1 card left over.If he counts his cards 5 at a time,he has 2 cards left over . How many cards are in Aaron's collection ? ​

Answers

Answer:

110

Step-by-step explanation:

Answer:

107 cards

Step-by-step explanation:

So if you skip count by 5 up to one hundred, and then add 2, it's still and even number which the skip counting by 2 says won't work. So then skip count by 5 up to 105 and add 2 to get 107. Hope that makes sense! :)

What number could be added to the product of (-7)(-6) so that the sum is equal to 272​

Answers

Answer:

(-7)(-6)=42

272-42=230

Step-by-step explanation:

230 is the answer

I need help with solutions

Answers

Answer:

10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b

Step-by-step explanation:

I'm pretty sure they are all right

Other Questions
I carried my doll in my back just as their mothers carry their babies" can someone please explain this to me please What is the constant of proportionality in the equation 3y = 2x Solve for x.a. 16b. 11c. 6 4. Which was NOT one of President Woodrow Wilson's Fourteen Points ?A. Creation of an independent PolandB. Lenient treatment of the Central PowersC. Creation of a peace-keeping association of nationsD. Autonomous development for the peoples of Austria-Hungary and the Ottoman Empire Which expression is not equivalent to 3x-2 Whats the ANSEWR to this Someone please help! No one every answers my questions :( What specific challenges did Floridians face during the Great Depression? Someone please do this! Which statements are accurate about Eleanor Roosevelt's early life?Choose ALL answers that are correct. A governess was mean to her.Her mother was her best friend.Her mother, brother, and father died.She lied when she didnt think people wanted the truth.Her familys wealth brought her much happiness. Why doesnt raising the minimum age to leave school always lead to higher graduation rates? Cite evidence in the text. Which group tends to vote more than others?WealthyYoungUneducatedPoor Read this excerpt from a bank's website.Kids can learn to save money, too! Experts encourage children of all ages to start their very own savings accounts, because it teaches them responsibility and helps them save for college. The recommended savings amount is 20% of any earnings, such as birthday money or allowances. So before they head to the mall or the candy store, kids' first stop should be the bank to make a savings deposit. It won't take long for the savings to add up!How does the writing shape readers' impressions?It persuades children to save money.It entertains children with interesting stories.It informs children about banks.It argues that children need money. ty-qy+p=r solve for y Need help for dis question what is it ?? which element has two valence electrons in the s sublevel of the fourth energy level 14. A researcher Is curious to find out what effect classical music has on people's level of relaxation(as measured by heart rate). She suspects that listening to classical music will make people feelmore calm and relaxed. The researcher lets one group listen to classical music for one hour andthen do a relaxing activity, like reading or drawing for another hour. She lets the other group sit in aqulet room for two hours (they hear no music). After two hours, she monitors the heart rate of eachparticipant to measure their level of relaxation.What is the error in thls experiment design?A. There are two independent variables: classical music and an additional relaxing activityB. There are two independent variables: the amount of time and heart ratesC. There are two dependent variables: classical music and an additional relaxing activityD. There are two dependent variables: the amount of time and heart rates HELP PLZZZ!!!!! THank u! :)(5 screenshots included) Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount? which of these can help you comprehend what you're reading ?