Mathematics College

Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
about the graph of the system.

Solve A and B

PLEASE HELP ASAP!!!



Solve Each System Of Equations Algebraically. For Each One, Explain What The Solution (or Lack Thereof)

Answers

Answer 1

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

[tex]\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0[/tex]

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

Related Questions

Find the least common multiple of 6a2 and 5a3.

Answers

I think it’s 30a3 but I’m not sure...

Ariana needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. If Ariana only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Ariana can drive a maximum of
miles without the cost of the rental going over $40.Round your answer to the nearest mile.

Answers

Answer:

Ok simple Algebra Question:

Let "x" be the number of miles she drives.

18.95 + 0.16x = 40.00

Subtract 18.95 from both sides.

0.16x = 21.05

Divide both sides by 0.16

You get:

x = 131.5625

Round to nearest mile:

Answer is: 132

Dave has 500 baseball cards, which is as many cards as Eric and Travis have combined. Eric has three times as many cards as Travis. If Travis is donated x cards, Eric 3x cards, and Dave 500 cards. What is the total number of calls that all of them have? Also, explain how we figure out the amount of cards Travis has and the amount Eric has

Answers

Answer:

regtrgerf

m klbhjkb.Step-by-step explanation:

Which answer choice is equal to −(2÷3)?

Answers

Answer: -2÷3

Step-by-step explanation:

-(2÷3) = -2÷3

What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m

Answers

The correct answer would be c because you need to move the 2m over to the side with the more m’s so you would then have 3=6m+1

help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students

Answers

75 tickets are for the students and 10 are tickets are for the chaperones

Answer:

Kids- 75

Chaperones- 10

Step-by-step explanation:

We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...

15 + 2 = 17

85 / 17 = 5

15 x 5 = 75

2 x 5 = 10

check you work-

75 + 10 = 85

Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

If y represents the distance Jordan still has to walk after x hours, then the equation [tex] y = -2x + 13 [/tex] describes the given equation.

The y-intercept of the equation represents total distance of the trail

Step-by-step explanation:

A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as [tex] y = mx + b [/tex]

Where,

m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)

b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)

The equation of the given situation, in slope-intercept form would be:

[tex] y = -2x + 13 [/tex]

A linear equation can be use to describe Jordan's distance because the

rate of change of the distance with time is constant.

First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.

Reasons:

From the map in the question, we have;

The distance of the trail Jordan has to hike = 13 miles

The rate at which Jordan will work = 2 mi/hr.

Part One:

Required:

The linear equation that represents the distance Jordan still has to walk

after x hours.

Solution:

Let y represent the distance Jordan still has to walk after x hours

The distance walked per hour = 2 miles

The distance walked after x hours = x × 2 miles = 2·x miles

Total distance = 13 miles

Distance remaining = Total distance - Distance walked

Distance remaining, y = 13 - 2·x

The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;

y = 13 - 2·x

Second part:

The y-intercept is the y-value when x = 0

Therefore;

The y-intercept is; y = 13 - 2 × 0 = 13

Therefore;

The y-intercept represents the distance Jordan has to walk at the start

when the time, x, is 0, which is 13 miles or the the entire distance Jordan

has to walk.

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https://brainly.com/question/16924122

Richard is W years old express algebraically is age 10 years ago

Answers

Answer:

W-10

Step-by-step explanation:

Plzz mark me brainlest as it really need it to level up

w-10 cause he is w and you subtract 10 cause it was 10 years ago

The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?

Answers

Answer: 77 cars

Step-by-step explanation: 6.50 * 77 = 500.5

A bottle of medication contains 30 mls. After withdrawing 2.25 mls for an injection, how many
mls of medicine remain in the bottle?

Help please

Answers

Answer:

27.75 mls

Step-by-step explanation:

30mls - 2.25mls is equal to 27.75mls

Lead in Medicine Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from "Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet," by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g.
3.0 6.5 6.0 5.5 20.5 7.5 12.0 20.5 11.5 17.5

Answers

Step-by-step explanation:

We start by calculating mean and standard deviation

Mean = sum of all values/total number of values

= 110.5/10

= 11.05

Standard deviation = √375.725/9

= √41.7472

= 6.46

Null hypothesis =

h0: μ = 14

Alternate hypothesis =

H1: μ < 14

Alpha is set at 0.05

Test statistic

T = mean - (μ)/(sd/√n)

=(11.05-14)/(6.46/√10)

= -2.95/2.0428

= -1.4441

P value calculator

df = n-1 = 10 -1 = 9

P Value = trust(x,df,tails)

= trust(1.4441,9,1)

= 0.0913

In conclusion our pvalue is greater than alpha level at 0.05 so we do not have sufficient evidence to reject the null hypothesis. We do not have enough evidence to accept the alternate so we reject claim that mean lead concentration for all such medicine is < than 14μg/g

The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.

Answers

what are the answer choices

The product of two consecutive odd integers is 2,915. Build a function that can be used to
solve for the integers. What are the two integers?

Answers

So we need to write some expressions first.
So for 2 consecutive odd integers you could have (2n-1) and (2n+1) as these are consecutive and odd. When you multiply these you get 2915 so

(2n-1)(2n+1) = 2915

So multiply out

4n^2 -2n +2n -1 = 2915
4n^2 -1 = 2915
4n^2 = 2916
n^2 = 729
N = 27
So 2n + 1 is 27x2 +1 is 55 and 2n -1 is 53

The two integers are 55 and 53

Hope this helps, let me know if you have any questions

The values of the two consecutive odd integers are 53 and 55.

Let the two consecutive odd integers be x and x+2.

Based on the information given, the equation to solve the question will be:

x(x + 2) = 2915

x² + 2x = 2915

x² + 2x - 2915 = 0

x² + 55x - 53x - 2915 = 0

x(x + 55) - 53(x + 55) = 0.

Therefore, x - 53 = 0

x = 0 + 53 = 53

x + 2 = 53 + 2 = 55

Therefore, the numbers are 53 and 55.

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https://brainly.com/question/18617854

Round 34,330 to the nearest thousand

Answers

Answer:30,000

Step-by-step explanation:

5 or more is greater 4 or you give it a rest

The answer is 30,000

Good luck

Please help me figure this out-

Find the measure of the indicated angle that makes lines U and V parallel.

Answers

Answer:

80

Step-by-step explanation:

100°+?=180

?=180-100=80

There are 16 boys and 12 girls in Mr.willam’s class. What is the ratio of boys to girls

Answers

Answer:

16:12 or 16 to 12

Step-by-step explanation:

Answer:

16:12 or 16 to 12

The ratio of boys to girls is 16 to 12.

HWLP NOW IM FREAKING OUT INNEED HELP

Answers

Answer:

I believe the answer is 14

Step-by-step explanation:

0.25x14=3.5 or 3 1/2 hope this helped!! <3

Answer:

The answer is C

Step-by-step explanation:

Hope this helped!

Subtract the rational expressions x/x+1 - 2/x

Answers

Answer:

(2x-2)/x

Step-by-step explanation:

x/x-2/x+1

LCM is x

(x-2+x)/x

(2x-2)/x

2x•(-3x)+5•(2x²)-x•x=

??

Answers

Answer:

Step-by-step explanation:

Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?

Answers

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

write a verbal expression for x + y

Answers

y=Mx+-b pgigigiggihiihihohohoh

Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.

Answers

Answer:

d + 9 = 57

Step-by-step explanation:

Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.

Answers

Answer:

x=0.173

Step-by-step explanation:

First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.

What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1

Answers

Answer:

y = 2/3x-1

Step-by-step explanation:

Write an equation for the description. Ten times the sum of half a number x and 6 is 10.

Answers

Answer:

10 x ( 1/2x + 6 ) = 10

10 • (1/2x+6) = 10 would be the correct equation:)

What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55

Answers

Answer:

5^3

Step-by-step explanation:

5*5*5

5 multiplied 3 times is

5^3

Answer:

5 ^ 3

Step-by-step explanation:

Help ASAP , 15 points and a brainy.

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think the answer is B. It slopes downward from left to right.

Jamall has 20 mo of planes and cars. He has three times as many cars in points. What is the

Answers

But what is the question

Directions: Find the value of x.

5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

180-90=90

5x-2+3x+4=90

5x-2+3x=90-4=86

5x+3x=86+2=88

8x=88

X=11

It will be nice if you give me brainliest.Good luck!

The value of x in the given right triangle is 11.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given is a right triangle, with angles 5x-2 and 3x+4

We know that the sum of the both acute angles of a right triangle, is 90°

Therefore,

5x-2 + 3x+4 = 90°

8x = 88

x = 11

Hence, the value of x in the given right triangle is 11.

For more references on right triangle, click;

https://brainly.com/question/29285631

#SPJ2

VsgsscNw d dhdnBskele r. Eheu

Answers

Lzlsjxkskalsokxjxjsks :)!
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