When solving a system of two linear equations
algebraically, how can you tell if the system has exactly one
solution?

Answers

Answer 1

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps


Related Questions

Élizabeth a 20 ans de moins que son père. Si son père est trois fois plus âgé qu’elle, détermine l’âge de chacun.

Answers

Elizabeth is 20 years younger than her father. If her father is three times her age, determine the age of each.

Plz, solve this teacher put this on worksheet help!!

Answers

Answer:

Step-by-step explanation:

i need this too. when you get the answer will you please let me know. thank you

The Probabilty of rolling a 1 on a 6 sided biased dice is 0.85

Answers

Answer:

false

Step-by-step explanation:

This statement is false. There are a total of 6 sides on a six-sided die therefore, every roll is a one in six chance of getting a single number since only one number can be obtained per roll. So that would mean that the probability is

[tex]\frac{1}{6}[/tex]   or 0.16666 or 16.66%

That would be the actual probability of rolling a 1 on a single roll of a six-sided die, not 0.85

Whosever answers first gets marked brainliest!

Answers

Answer:

Step-by-step explanation:

C.

$5.85 / 13 cans = $0.45/can

$9.45 / 21 cans = $0.45/can

13 cans for $5.85 = 21 cans for $9.45

The ratios are equal.

A container holds four gallons of lemonade a large lemonade contains 16 oz how many large Lemonade's Cuisine Restaurant sell before they run out of lemonade

Answers

Answer:

32 Large lemonade

Step-by-step explanation:

A container holds four gallons of lemonade a large lemonade contains 16 oz how many large Lemonade's Cuisine Restaurant sell before they run out of lemonade

1 gallon = 128 oz

Hence, 4 gallons = x

x = 4 × 128 0z

x = 512 oz of Lemonade

If

1 large lemonade = 16 oz

16 oz = 1 large lemonade

512 oz = x

x = 512/16

x = 32 large lemonades

The restaurant will.sell 32 large lemonade

what's the common difference 6.5,5,3.5,2,

Answers

1.5 because if u subtract 1.5 from each number u get the next number

what is the output of the function when the input is 0



enter your answer as a number like this:42


MARKING BRAINLIST

Answers

Answer:

y = -1

Step-by-step explanation:

Any ordinate pair (x, y) represents the input output values of a function to be graphed.

For any input value of x, there will be an output value (y).

If input value for the graph attached is x = 0,

Output value will be represented by the y-value along y-axis as, y = -1

Therefore, y = -1 will be the answer.

Stretch y=6x by a factor of 3

Answers

Answer:

If my memory serves me correctly, then you just have to multiply the variable 3 by whatever number you are facorting it by, in this case 6 and 3.

So, the answer would be y = 18x

May I have brainliest please? :)

(PLEASE SOLVE ASAP!!) Suppose the entry fee to Arches national park is $25 per vehicle. Suppose the entrance fee to Bryce national park can be represented by the equation y=30x, where y represents the total cost in dollars, and x represents the number of vehicles. Which park has the greatest cost per vehicle?

Answers

Answer:

Bryce national park has the greatest cost per vehicle.

Step-by-step explanation:

From the question, we are given the following:

For Arches national park

Cost per vehicle or entry fee per vehicle at Arches national park = $25

For Bryce national park

We have:

y = 30x ........................... (1)

y = the total cost in dollars

x = the number of vehicles

To obtain the cost per vehicle at Bryce national park, we have to assume that the number of vehicles is one by setting x equal to one, that is, x = 1.

Substituting x = 1 into equation (1), we have:

y = 30 * 1 = 30

This implies that cost per vehicle at Bryce national park is $30.

Conclusion

Since the $30 cost per vehicle at Bryce national park is greater than the $25 cost per vehicle at Arches national park, it therefore implies that Bryce national park has the greatest cost per vehicle.

which equation represents the same line as the points in the table

Answers

Answer:

The answer for this is the 2nd one

Simplify the following expression: x − x

Answers

Answer:

=x

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

1-1=X-X

PLZ HELP ME ONLY NUBMER 11 THATS IT A=-4 AND B=3 PLZZZ HELP MEEE

Answers

Answer:

1

Step-by-step explanation:

2*-4+3*3

-8+9

1

Brainliest pleaseeeee

Answer: i think you just substitute: 2(-4)+3(3) = 1

Step-by-step explanation:

PLEASE GUYS HELP ITS DUE TONIGHT​

Answers

Answer:

20. AB = 42

21. BC = 28

22. AC = 70

23. BC = 20.4

24. FH = 48

25. DE = 10, EF = 10, DF = 20

Step-by-step explanation:

✍️Given:

AB = 2x + 7

BC = 28

AC = 4x,

20. Assuming B is between A and C, thus:

AB + BC = AC (Segment Addition Postulate)

2x + 7 + 28 = 4x (substitution)

Collect like terms

2x + 35 = 4x

35 = 4x - 2x

35 = 2x

Divide both side by 2

17.5 = x

AB = 2x + 7

Plug in the value of x

AB = 2(17.5) + 7 = 42

21. BC = 28 (given)

22. AC = 4x

Plug in the value of x

AC = 4(17.5) = 70

✍️Given:

AC = 35 and AB = 14.6.

Assuming B is between A and C, thus:

23. AB + BC = AC (Segment Addition Postulate)

14.6 + BC = 35 (Substitution)

Subtract 14.6 from each side

BC = 35 - 14.6

BC = 20.4

24. FH = 7x + 6

FG = 4x

GH = 24

FG + GH = FH (Segment Addition Postulate)

[tex] 4x + 24 = 7x + 6 [/tex] (substitution)

Collect like terms

[tex] 4x - 7x = -24 + 6 [/tex]

[tex] -3x = - 18 [/tex]

Divide both sides by -3

[tex] x = 6 [/tex]

FH = 7x + 6

Plug in the value of x

FH = 7(6) + 6 = 48

25. DE = 5x, EF = 3x + 4

Given that E bisects DF, therefore,

DE = EF

5x = 3x + 4 (substitution)

Subtract 3x from each side

5x - 3x = 4

2x = 4

Divide both sides by 2

x = 2

DE = 5x

Plug in the value of x

DE = 5(2) = 10

EF = 3x + 4

Plug in the value of x

EF = 3(2) + 4 = 10

DF = DE + EF

DE = 10 + 10 (substitution)

DE = 20

The temperature in Vancouver was recorded over a period of four hours. The equation y = -2x + 43 describes the temperature over this time, where y is the temperature in degrees Fahrenheit (°F) and x is the number of hours since measurements started. Which of the following statements correctly describes the temperature? A. It was -2°F when the temperature was first measured, and it is rising by 43 degrees per hour. B. It was 43°F after four hours, and it is dropping by 2 degrees per hour C. It was -2°F after four hours, and it is rising by 43 degrees per hour D. It was 43'F when the temperature was first measured, and it is dropping by 2 degrees per hour​

Answers

Answer:

D

Step-by-step explanation:

I had the same quiz

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

It was 43'F when the temperature was first measured, and it is dropping by 2 degrees per hour​.

Option D is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 8 is an equation.

We have,

y = -2x + 43

Where y is the temperature after x hours.

Now,

At x = 0,

y = 43

This means the temperature is 43 when it first started to measure.

At x = 1,

y = 41

This means,

The temperature decreases by 2 degrees per hour

Thus,

It was 43'F when the temperature was first measured, and it is dropping by 2 degrees per hour​.

Option D is the correct answer.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Which describes the correlation shown in the scatterplot?

On a graph, points are grouped together and decrease.

A. There is a positive correlation in the data set.
B. There is a negative correlation in the data set.
C. There is no correlation in the data set.
D. More points are needed to determine the correlation.

Answers

It can be said that the "there is a negative correlation in the data set". Option B is correct.

The graph shows points that are grouped together and are decreasing.

The gathered data shows that there is a possibility to get  correlation between them.

The group of data is decreasing. So, the correlation of the data will be negative in nature.

Therefore, it can be said that the "there is a negative correlation in the data set". Option B is correct.

For more details, refer to the link:

https://brainly.com/question/11705632

Answer:

The answer B

My Homeys

Have a blessed day guys and gals

A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?

Answers

Answer:

Height of the tree is 78.11 feet.

Step-by-step explanation:

By applying the tangent rule in the right triangle formed,

Since, tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(32)° = [tex]\frac{h}{125}[/tex]

h = 125(tan32°)

h = 125(0.62487)

h = 78.109

  ≈ 78.11 ft

Height of the tree will be 78.11 feet.

Nathan is opening a savings account that has a 10% simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded interest rate?

Answers

Answer:

Dollars earned after 5 years = $45.79

Step-by-step explanation:

Given that:

Initial money deposited in account = $75

Time for which the money is deposited = 5 years

Interest rate = 10%

Nature of interest = Simple Interest

Amount after 5 years = $112.50

To find:

Total money earned after 5 years if the interest is compounded ?

Solution:

Formula for amount if the interest is compounded annually:

[tex]A =P(1+\frac{R}{100})^T[/tex]

Where P is the principal amount (initial money)

R is the rate of interest

T is the time

Putting all the values:

[tex]A =75\times (1+\frac{10}{100})^5\\\Rightarrow \bold{A = \$120.79}[/tex]

Total more money earned or the interest after the compounding nature =

[tex]A - P[/tex] = $120.79 - $75 = $45.79

PLEASE HELP ASAP will give brainlist

Answers

Answer:

43

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

x=43

Step-by-step explanation:

78+59

180-137=43

Select the equation Wich represents the graph

Answers

the answer is y+4= -1/3x

Answer:

bubble 1

Step-by-step explanation:

it is going to be +4 because the Y intercept is at positive 4. it is also has a slope of -3 becuase rise over run equals 3 but the slope from left to right reads going down so it is negative plz vote brainliest

2. Write an equation that represents the following word problem:
The perimeter of a square is equal to four times the length of one side.
p = 4x
p = x + 4
p = 4 = x
p = 4 - x

Answers

Answer:

p=4x

Step-by-step explanation:

If you need a further explanation feel free to ask

Answer:

p=4x

Step-by-step explanation:

L
The cost of 3 pounds of strawberries
is $6.57. What is the constant of
proportionality that relates the cost in
dollars, y, to the number of pounds of
strawberries, x?
A 3
B
6.57
C 2.19
D
Not here




help please lol it has to be one of the answer choices btw

Answers

Answer: A

Step-by-step explanation: Hi

Answer is A because I copied the guy or girl down there or up here

Need help with 3 questions!

Answers

1.) 17? (8^2=64) - (9^2=81) 81-64= 17
2.) 625? (40/8=5 5^2=25 25x5= 625
3.) 0? (24/4=6) 6^2=36/6=6-6=0
I think these are correct. Sorry if they are not. The only way it would be incorrect is if I did the steps out of order. I don’t think I did but it’s possible. Good luck! Sorry, Hope this helps

if 2(3x+5)=6x+10 is what property

Answers

Answer:

2(3x + 5) = 6x + 10

⇔ 6x + 10 = 6x + 10

=> infinite solution

Step-by-step explanation:

Solving 2 Step equation
Solve the two step equation:
2x – 8 = 6
What does x equal

Answers

Answer:

x=7

Step-by-step explanation:

2x-8=6

2x=14

x=7

Answer:

the answer is 7.

Step-by-step explanation:

2x-8=6

you would need to add 8 to both sides to remove the 8 from the left side. so that makes it

2x=14

then you would need to divide both sides by 2 to remove the 2 from the left side. so..

x=7

22 + 53x + x = -20 + 60x

Answers

Answer:

X = 7

Explanation:

22 + 53x + x = -20 + 60x
And then add the x with the 53 which gives is 54x and then subtract 22 from both sides

what is the percent of 9 out of 15?

Answers

Answer:

60% plz brainiest me

Step-by-step explanation:

9 divided by 15 is 0.6. 0.6 converted to a percent is 60%

Answer:

60 %

Step-by-step explanation:

9 divided by 15 is 0.6. 0.6 converted to a percent is 60%

How many cups are in 500mL

Answers

2.11 cups hehhehehehehhee

Answer:

30+

Step-by-step explanation:

On Tuesday, the mailman delivers three checks for $5 each and two bills for $2 each. If you had a starting bank account balance of $25, what is the ending balance?

Answers

Answer:

The ending balance is $36.

Step-by-step explanation:

With the information given, in order to find the ending balance, you have to take the starting bank account balance and add the three checks that is money you receive and subtract the two bills that is money you need to pay and comes out of your account:

25+(3*5)-(2*2)=25+15-4=36

According to this, the answer is that the ending balance is $36.

3.1 + (9.2 -4.7)=
What does this equal

Answers

Answer:

7.6

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

hope it helps

Statistics and probability: If the glucose level is above 160mg per dl one hour after a sugary drink, Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with the mean being 145mg/dl and a standard deviation of 11mg/dl. If a single glucose measurement is made, what is the probability that Sheila is diagnosed with gestational diabetes?

Answers

Answer:

0.0863

Step-by-step explanation:

Given that:

The mean =145

The standard deviation = 11

To find P(X ≥ 160) :

Z = (x - μ)/σ

Z = 160 - 145/ 11

Z = 1.364

From the standard normal z table

Thus;

P(X ≥ 160) =  1- P(Z < 1.364)

P(X ≥ 160) = 1 - 0.9137

P(X ≥ 160) = 0.0863

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