Mathematics College

Solve the following system of equations and show all work.

y=-x^2 + 4
y=2x+1

Answers

Answer 1

Answer:

Step-by-step explanation:

y = -x²+4 and y = 2x+1

Therefore,  -x²+4 = 2x+1

x²+2x-3 = 0

x = 1,-3

There are two solutions:

(1,3) and (-3,-5)

Solve The Following System Of Equations And Show All Work.y=-x^2 + 4y=2x+1
Answer 2

The solutions to the system of equations are (x, y) = (-3, -5) and (1, 3).

We have,

To solve the system of equations:

Set the expressions for y equal to each other:

-x² + 4 = 2x + 1

Rearrange the equation to bring all terms to one side:

-x² - 2x + 3 = 0

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we will use factoring.

Factor the quadratic equation:

(-x - 3)(x - 1) = 0

Set each factor equal to zero and solve for x:

-x - 3 = 0 or x - 1 = 0

Solve the first equation:

-x = 3

x = -3

Solve the second equation:

x = 1

Substitute the values of x back into one of the original equations to find the corresponding values of y.

For x = -3:

y = 2(-3) + 1

y = -6 + 1

y = -5

For x = 1:

y = 2(1) + 1

y = 2 + 1

y = 3

Therefore,

The solutions to the system of equations are (x, y) = (-3, -5) and (1, 3).

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Related Questions

The fractions and decimals in order from least to greatest 7/48 0.5 0.75 9/16

Answers

Answer:

7/48,0.5,9/16,0.75

Step-by-step explanation:

Hope this helps

helppp!!! with easy math!

Answers

Answer: 8 units squared

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

TRI 1-2

TRI 2-2

SQU-4

Mrs. Larson made 12 pillows from 16 yards of the same fabric how much fabric was used to make each pillow between what two whole numbers does your answer lie

Answers

Answer:The answer is given by :

[ The amount of material ]  / [The  number of pillows made ]  =   16 / 12  = 4 /3 = ( 1 + 1/3 ) yds per pillow

So the answer lies between the integers 1 and 2

Step-by-step explanation:



Find the sum: 400 + 394 + 388 + .... - 32

Answers

Answer:

1150 because 400 + 394 + 388 = 1182 - 32 = 1150.

Answer:

1150

Step-by-step explanation:

remember pemdas?

its a easier way to read this equasion!

parenthases

(400 + 394 + 388) = 1182

subtraction

1182 - 32 = 1150

hope this helped!

please mark me the brainliest if you can :]

Complete the following statement about the Empirical Rule.

According to the Empiricalâ Rule, if a distribution isâ bell-shaped, then approximately _______________ of the data will lie within 1 standard deviation of theâ mean; approximately ____________ 95% 99.7% 68% of the data will lie within 2 standard deviations of theâ mean; approximately ______________ 68% 95% 99.7% of the data will lie within 3 standard deviations of the mean.

Answers

Answer:

1. 68%

2. 95%

3. 99.7

Step-by-step explanation:

Standard deviation of mean will be 68%, 95%, and 99.73% respectively.

What is Empirical Rule?

A statistical rule known as the empirical rule, which is also known as the three-sigma rule or the 68-95-99.7 rule, states that almost all observed data for a normal distribution will be within three standard deviations of the mean or average.

Given according to the empirical rule, 68% of observations will fall within the first standard deviation (µ ± σ), 95% will fall within the first two standard deviations (µ ± 2σ), and 99.7% will fall within the first three standard deviations(µ ± 3σ) .

Hence SD  of mean will be 68%, 95%, and 99.73%

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273839-38791+-1738=y

Answers

Answer:

233310 = y

Step-by-step explanation:

Answer:233310

Step-by-step explanation:

In a survey of 314 job recruiters, 46% said that they had reassessed a job candidate after viewing his/her social media profile and content. (This includes both positive and negative reassessments of the job candidate.) Construct a 90% confidence interval for the proportion of job recruiters who reassessed a job candidate after viewing his/her social media content.

Answers

Answer:

The 90% confidence interval for the proportion of job recruiters who reassessed a job candidate after viewing his/her social media content is (0.4137, 0.5063).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of 314 job recruiters, 46% said that they had reassessed a job candidate after viewing his/her social media profile and content. (This includes both positive and negative reassessments of the job candidate.)

This means that [tex]n = 314, \pi = 0.46[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 1.645\sqrt{\frac{0.46*0.54}{314}} = 0.4137[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 1.645\sqrt{\frac{0.46*0.54}{314}} = 0.5063[/tex]

The 90% confidence interval for the proportion of job recruiters who reassessed a job candidate after viewing his/her social media content is (0.4137, 0.5063).

Sarah's favorite candy consists of sour patch kids and M&Ms. She has 17 total packages of sour patch kids and M&Ms. She has 5 more packages of sour patch kids than M&Ms. How many packages of each Candy does Sarah have?

Answers

Answer:

Sarah has 11 packages of sour patch kids and 6 packages of M&Ms

Step-by-step explanation:

11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem

Answer:

Sarah has 11 packages of sour patch kids and 6 packages of M&Ms

Step-by-step explanation:

11 + 6 = 17, and 11 is five more than 6, fulfilling the needs of the problem

hope this helps


help me please I have 10 minutes to do this

Answers

Answer:

Distributive

Step-by-step explanation:

The 4y is distributed to the terms in parentheses.

Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.
show your work please it's required​

Answers

Answer:

122 ft²

Step-by-step explanation:

Divide the area into 3 parts as below.

Calculate each area and add up:

A1 = 7*11 = 77 ft²A2 = 8*5 = 40 ft²A3 = 1/2*2*5 = 5 ft²

Total area:

77 + 40 + 5 = 122 ft²

Which of the following are rays shown in the drawing?
BE
AC
AB
DC

Answers

Answer:

what drawing

Step-by-step explanation:

Find 345 x 6 using expanded form.
300+40+5=345

Answers

Answer:

2,000 + 0 + 70 + 0 = 2,070

Step-by-step explanation:

300 + 40 +5 x 6

300 + 4 = 340

340 + 5 = 345

345 x 6 = 2070

2,000 + 0 + 70 + 0 =

2,070

Hope this helps

Move the numbers to the blanks to order them from least to greatest value.

0.4. 9/8. -2. 1.2. -0.89​

Answers

Answer:

-2.12 -089 0.4 9/8

Step-by-step explanation:

im good at fractions

Ha I think you should do that to you get it done and then I will do that you know if I have a

c)
4 x 4 x 4 x 5 x 5
Write this using index notation

Answers

Step-by-step explanation:

4'3x5'2

It means 4'3= 4 multiplied by its self 3 times

3х+2 / 4 - 2x+1 / 3= 5


Answers

Answer:

X= 25/6

Step-by-step explanation:

Please mark brainliest

What is the value of the expression? 21.18
÷
6 =

ASAP PLEASE

Answers

Answer:

3.53

Step-by-step explanation:

I checked it using a calculator. :)

Pls help I will give thx and give points

Answers

Answer:

20

Step-by-step explanation:

you use the pathagorian theorem which is a suqared plus b squared equals c squared.

it would be 12*12 plus 16*16 equals x squared. so 144 plus 256. that equals 400. then you take the square root of it which is 20. therefore x equals 20.

Write the equation of the line that passes through the points (-7,7) and (-6, -5)

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y = -12x -77

Step-by-step explanation:

-5 - -7/-6 - -7 = -12

slope = -12

y = mx + b

Subsutitue

7 = -12 ⋅ -7 + b

b = -77

good luck, i hope this helps :)

pls help me on this.........​

Answers

Answer:

its A

Step-by-step explanation:


4. Kristin is 2 years older than Susan, and Kate's age is 3 years less than twice Kristin's age.
How old is Kristin if the sum of all three of their ages is 47 years?
f. 11
g. 13
h. 23
j. 24
k. 36

Answers

Kristin is 13 !! , i took 13 for Kristins age, and took 13-2 for Susans age which leaves 11, 13+11 = 24. i multiplied 13 twice and got 26 and subtracted 3 for Kates age, and got 23. 24+23 = 47.

whats the number of 10% of 24

Answers

Answer:

2.4

Step-by-step explanation:

10% of 24

Make the 10% a decimal.

0.10

Multiplication!!!

0.10×24

0.10×24=2.4

If the 100th term of an arithmetic sequence is 209, and it's common difference is 2, what is the first, second and third term? (a1, a2, and a3?)

Answers

A(1)- 11 a(2)- 13 a(3)- 15

1. A fair 20-sided dice with faces numbered from 1 to 20 is rolled. The event M is defined
as “the number obtained is a multiple of 3”.
a. Determine P(M). If the dice is rolled 100 times.

b. How many times would you expect to get a multiple of 3?

Answers

Answer:

you wouldn't get to many unless every time you roll you get an odd number and if you end up with that you can expect to get a number counted by 3 at least 6 times

y = 4x-2

what is the slope?

what is the y-intercept? ​

Answers

Answer:

the slope is 4 and the y intercept is -2

Step-by-step explanation:

Is the set of ordered pairs above a function? {(3,4), (1,5), (-9,0), (3,-2)}

Answers

Answer:

not a function

Step-by-step explanation:

{(3,4), (1,5), (-9,0), (3,-2)}

This is not a function since the input 3 goes to two different outputs

3 goes to 4 and -2

Prove that (secΘ + cotΘcscΘ) / cosΘ = csc^2Θ sec^2Θ.
in a test and need response quickly if possible

Answers

Answer:

it is . what it is lol

Step-by-step explanation:

How to subtract fractions

Answers

Answer:

Make sure the bottom numbers (the denominators) are the same.

Subtract the top numbers (the numerators). Put the answer over the same denominator.

Simplify the fraction (if needed).

Step-by-step explanation:

"There are 3 simple steps to subtract fractions

Make sure the bottom numbers (the denominators) are the same.

Subtract the top numbers (the numerators). Put the answer over the same denominator.

Simplify the fraction (if needed)."

What is sales tax and explain how we use it in everyday life.
1-5 sentences plz

Answers

Answer: Look below. I hope this helps=3

Step-by-step explanation: Sales tax is an additional amount of money you pay. based on a percentage of the selling price of goods. Also services that are purchased. For example, if you purchase a new television for $400 and live in an area where the sales tax is 7%. Then you would pay $28 in sales tax.

Write a situation for -3x+6>9

Answers

Answer:

-6x+3>9

Step-by-step explanation:

Shift the equation to suitable form

-3x+6>9-(-3x+6)<-93x-6<-9

Suppose you begin with a number . Multiply it with 3 then subtract 6 from it ,describe a suitable no so that the resulting number will be less than -9.

Was Perry’s hypothesis correct? Explain

Answers

Answer:

yes he was correct Perry's hypothesis was correct

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