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

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

Juicy's business Sweet Sauce is profiting at a rate 20,000 dollars per month. The starting balance in Sweet Sauce's account for 2020 was $50,000. How much money will be in Sweet Sauce's account after July 31st? Write an equation for this problem and answer the question. How much money will be in the account after 2 years?

Answers

Answer:

-The equation for this problem is:

y=50,000+20,000x

-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

Andrew salary is 4,250.00 per month plus a commission of 5%of his monthly sales.Andrew sales this month are 10,250.00. What is his total income for thins month?

Answers

Answer:

Andrew's total income for this month is $4762.5.

Step-by-step explanation:

With the information provided, you can find the total income by calculating 5% of the sales this month and adding up this amount to his monthly salary:

sales=10,250

monthly salary=4,250

10,250*5%=512.5

4,250+512.5=4,762.5

According to this, the answer is that Andrew's total income for this month is $4,762.5.

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

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)

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. . ✦
‍ ‍ ‍ ‍ ,

. . ゚ . ☀️if we hold .

, .

. . .


,

Answers

Answer:

?

Step-by-step explanation:

Answer:

what does this even mean

Step-by-step explanation:

I will give extra points and brainliest for a real answer

Answers

Answer:

1 and 3

Step-by-step explanation:

why you delete my other comment

Help! The screenshot is down below!!

Answers

Answer:

Step-by-step explanation:

A) Find the total minutes that Anna walked.To find the average number of minutes, divide the total minutes by total number of days

B) Average number of minutes =

[tex]\frac{15*9 + 30*5 + 40*7 + 45*3 + 50*6}{30}\\\\= \frac{135 + 150 + 280 + 135 + 300}{30}\\\\=\frac{1000}{30}\\\\= 33. 33[/tex]

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

Answers

Answer:

27

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

HELP MEEEEEE (no links)

Answers

Answer:

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

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

Answers

Answer:

72 M

Step-by-step explanation:

You have to multiply 12 by 6,and to make it easier,you can draw a multiplication chart type thing,where once you drew all of the lines,it would make squares.Count all the squares and that's your answer.

WILL MARK BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

I NEED HELP
the witch has more sugar per fluid ounce
A- 12sugar and 8amount
B-10 sugar and 5 Amount

Answers

B has more because 10/5 is 2 and 8/12 is less

A shipping crate has a volume of 96 ft' and holds 12 cube-
shaped boxes. What is the surface area of one of the boxes?

Answers

Answer:

8 sorry if its wrong

Step-by-step explanation:

Answer:

24 ft²

Step-by-step explanation:

find volume for single cube

[tex]96 \div 12 = 8[/tex]

find length of side

[tex] \sqrt[3]{8} = 2[/tex]

find area of single surface

[tex]2 \times 2 = 4[/tex]

surfaces each cube = 6

so the total of surfaces area

[tex]4 \times 6 = 24[/tex]

Help with 8 pls thanks

Answers

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

The set of even numbers that can be be divided by 3 is

Answers

a number is divisible by 3 if the sum of its digits is divisible by 3. 375, for instance, is divisible by 3 since sum of its digits (3+7+5) is 15. And 15 is divisible by 3. 1+2=3 and 3 is divisible by 3

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ect

Step-by-step explanation:

keep adding 3+3, then 3+6 and so on, then when you go as far as you want, look back at all the even numbers

HI, I NEED THIS QUESTION TO BE ANSWER ASAP! HELP PLEASE!!
HERE IS THE QUESTION!

What fraction with a denominator of 8 is equivalent to 1/2?

HELP!! IF YOU DO IT ILL GIVE YOU BRAINLY WITH THE EXPLANATION!

Answers

Answer:

4/8

Step-by-step explanation:

4/8 is equal to 1/2

-

4 is half of 8

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

Answer:

12

Step-by-step explanation:

5+4+3 = 12

Answer:

12 is the total outcome.......

Step-by-step explanation:

3+4+5=12 is the ans.....

hope this will help u.....

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

30 divided by 12 pls hurry

Answers

Answer:

2.5 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

The answer is 2.5 hope this helps


[tex] {x}^{2} - 6x - 12[/tex]

Answers


The expression is not factorable with rational numbers

hii please help i’ll give brainliest!!

Answers

I think it’s The mass of box

Please answer right and don’t be a bot

Answers

Answer:

its SAS

Step-by-step explanation:

segment ST is is one side then PS and RD is another because of the line across both of those and angle S

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.

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:

Please help me please I’m begging you , no wrong answers

Answers

I think the answer is 167$ for 2,500 minutes but you can check it before answering.

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.

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:

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