How can I tell if a system of equations has one, no, or infinitely many solutions?

Answers

Answer 1

Answer:

There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.

If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.

Related Questions

what do you call the 9 in the statement 30% of 9 is 3

Answers

Answer: You call the 9 a base.

Step-by-step explanation: 3 is the percentage or part of the whole or base.

Answer:

9 is the base of the statement.

Step-by-step explanation:

Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.

Chemists use pH as a measure of acidity or alkalinity of a solution. It uses the concentration of hydrogen ions H+ in a logarithmic function. A chemist is studying the alkalinity of a hot spring near a volcano. The hydrogen ion concentration is increasing according to the function f(d) = (0.5 × 10–4)d, where d is the number of days. The function for pH is g(H+) = –log10(H+), where H+ is the hydrogen ion concentration of the solution. Which function shows the pH of the hot spring as a function of d? g(f(d)) = –log10(d) g(f(d)) = –d(log10(0.5 × 10–4)) g(f(d)) = –log10((0.5 × 10–4)d) g(f(d)) = –log10(d × 10–4)

Answers

Answer:

[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]

Step-by-step explanation:

Given

[tex]f(d) = (0.5 * 10^{-4})^d[/tex]

[tex]g(H+) = -log_{10}(H+)[/tex]

Required

Find the composite function g(f(d))

We have:

[tex]g(H+) = -log_{10}(H+)[/tex]

Substitute f(d) for H+

[tex]g(f(d)) = -log_{10}(f(d))[/tex]

Substitute [tex]f(d) = (0.5 * 10^{-4})^d[/tex]

[tex]g(f(d)) = -log_{10}((0.5 * 10^{-4})^d)[/tex]

Apply law of logarithm

[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]

Hence, the function is:

[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]

Answer:

It's C

Step-by-step explanation:

The blue bookcase below was transformed into the brown bookcase. Identify the transformations that took place.

A) rotated 90° clockwise, enlarged using a scale factor of 3
B) rotated 90° clockwise, reduced using a scale factor of 1/3
C) rotated 180° clockwise, enlarged using a scale factor of 3
D) rotated 180° clockwise, reduced using a scale factor of 1/3

Answers

Answer:

choice C, rotated 180° & enlarged

Step-by-step explanation:

If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?

Answers

9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)

What is the multiplier?

A. 0.123

B. 0.111

C. 9

D. 81

Answers

Answer:

it is eather d or b

Step-by-step explanation:

WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.

Answers

Answer:

x = 7[tex]\sqrt{2}[/tex] and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex] so x = 7[tex]\sqrt{2}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are required.

The required values are

[tex]x=9.9\ \text{units}[/tex]

[tex]y=7\ \text{units}[/tex]

The given triangle is a right angled triangle.

Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]

The sum of the angles is [tex]180^{\circ}[/tex]

The missing angle is

[tex]180-(90+45)=45^{\circ}[/tex]

Since, the two angles are equal the side opposite the angles will also be equal.

So,

[tex]y=7[/tex]

Applying the Pythagoras theorem.

[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]

Learn more:

https://brainly.com/question/17307037?referrer=searchResults

Is (a + b) and (a - b)? perfect square trinomials?
O True
O False

Answers

Answer:

False

Step-by-step explanation:

Pos and negs cannot be perfect square trinomials

the answer should be false

. ✦ ˚ *
. . ✦
‍ ‍ ‍ ‍ ,

. . ﾟ . ☀️if we hold .

, .

. . .

✦
,

Answers

Answer:

Step-by-step explanation:

Answer:

what does this even mean

Step-by-step explanation:

Nathaniel goes to a store an buys an item that costs xx dollars. He has a coupon for 40% off, and then a 7% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Nathaniel paid at the register.

Answers

Answer: He pays x*0.642

Step-by-step explanation:

Suppose that we have an object with an initial price P.

If we have a discount of X%, then the new price will be:

NP = P*(1 - X%/100%)

And if we have an increase of X%, the new price is:

NP = P*(1 + X%/100%)

In this case, we have an initial item that costs x dollars, first we have a coupon for 40% off, then we have a discount of 40%.

Then the new price is:

NP = x*(1 - 40%/100%) = x*(1 - 0.4) = x*0.6

Now we add a tax of the 7%, then the final price will be:

FP = (x*0.6)*(1 + 7%/100%) = (x*0.6)*(1 + 0.07) = x*(0.6*1.07) = x*0.642

This is the total amount he pays at the register.

If a=3 and b=7, find the value of
2a + 3b

Answers

Answer:

Step-by-step explanation:

here's your solution

=> a = 3

=> b= 7

=> the given expression is ( 2a + 3b)

=> bu putting value of a and b in equation

=> we get , (3*2 + 7*3)

=> 27

hope it helps

A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?

Answers

-The money in Sweet Sauce's account after July 31st is $190,000

-The money in the account after 2 years is $530,000.

Step-by-step explanation:

With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:

y=50,000+20,000x, where:

y is the money in the account

x is the number of months that have passed

Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:

y=50,000+(20,000*7)

y=50,000+140,000

y=190,000

Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:

y=50,000+(20,000*24)

y=50,000+480,000

y=530,000

Please help me out. I will be picking the brainiest Answer!!!

Answer:

m<Y = 68°

Step-by-step explanation:

A tangent drawn to a circle makes a 90° angle with the radius that intersects it at the point of tangency. That means that m<X = 90°.

The sum of the measures of the angles of a triangle is 180°.

m<X + m<Y + m<Z = 180

90 + m<Y + 22 = 180

m<Y + 112 = 180

m<Y = 180 - 112

m<Y = 68

hii please help i’ll give brainliest!!

Answers

I think it’s The mass of box

HELP MEEEEEE (no links)

Answers

Answer:

..............................

Help with math pls it's my last thing for today

Answers

Answer:

Standard Form:

325,789

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

325,789 =

300,000

+ 20,000

+ 5,000

+ 700

+ 80

+ 9

Expanded Factors Form:

325,789 =

3 × 100,000

+ 2 × 10,000

+ 5 × 1,000

+ 7 × 100

+ 8 × 10

+ 9 × 1

Expanded Exponential Form:

325,789 =

3 × 105

+ 2 × 104

+ 5 × 103

+ 7 × 102

+ 8 × 101

+ 9 × 100

Word Form:

325,789 =

three hundred twenty-five thousand seven hundred eighty-nine

Owen is going to an amusement park. The price of admission into the park is $40, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would Owen have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides? PLEASE

Answers

Answer:

He will pay $14 to go on 7 rides with admission he will pay a total of $54.

Step-by-step explanation:

Admission-40

One ride-2

40+(2x7)=54

Other Questions

100 pionts HURRY??!?!?!?How did the United States and Western European nations try to help Germany recover from economic collapse after World War I? In your own words, explain how smartphone are similar to drugs The difference between three times a number and 5 is 10. Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel? Cuando has realizado un gran trabajo, creado un gran producto o servicio y entregado una gran experiencia de uso, es imperativo pedir recomendaciones, pero estas deben surgir producto de los hbitos dentro de... * Read this paragraph(1) Eliza and Brianna have been singing in their school chorus since they were in fourth grade.(2) The girls always sing a duet at the school talent show, and they take turns singing thenational anthem before school sporting events. (3) Outside of school, she also sings in a choirmade up of young and old members of her community. (4) Both girls hope that they will be ableto continue singing for many more years.Which sentence should be revised to correct a vague pronoun?A. sentence 1B. sentence 2C. sentence 3D. sentence 4 In Scene 2, lines 1012, Romeo says, It is my lady; O, it is my love! / O that she knew shewere!Which sentence best paraphrases his meaning?Mark only one oval.A She (Juliet) is the one I love, and I wish she knew it.B She (Juliet] really wishes that she were the one I love.000Ci cannot find my lady (Rosaline) or my love (Juliet).D I wish the woman I love could see me now. Which sentences identify two characteristics of fascism the action forceAccording to Newton's third law of motion, a reaction force between two objects isbut in the opposite direction.equal togreater thanless than 5 is between _________ and __________.-30 is between _________ and _________.-15 is between __________ and _________.18 is between __________ and __________.72 is between __________ and __________.-125 is between _________ and __________. What did Karl Marx believe would eventually transform society?A:the spread of democracyB:a revolution of the working classC:the works of strong leadersDa return to agrarian life Evaluate -8 (-10 + (-7))Look at the image for more understanding. Find the area of the shape shown below. please help asap!thank you a ton! Ill give points and brainalist for correct answer Use the distributive property to write an equivalent expression. 4(2x+3) Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work. Which change to Natasha's survey process would make the data more reliable? A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number. Worth five points !! it doesnt tell me if what answer is right but if i get 75 % or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest !!Time Remaining16:09:38The fact that Richard Nixon won the1968 election by a narrow margin showed thata. the country was not united.b. Americans wished Johnson had opposed him.c. most Americans wanted a Democrat in office.d. there was poor voter turnout. 20x^2-12x-8 a. (10x+2) (2x+5)b.(5x+2) (4x-4)c. (5x-2) (4x+4)d. (10x-2) (2x-5) how many true solutions are in x^2 6x 7 = 0