when does a linear equation have infinitely many solutions?

Answers

Answer 1

Answer:

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

A linear equation does not actually have solutions; rather, we find the locus of points (   x, y = f(x)   ) and draw a straight line through them.

It is a SYSTEM of linear equations that may or may not have solution(s).  

If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions.  The graphs of the two equations coincide/overlap.


Related Questions

Please helpppp

Extra points and brainleist

Answers

Answer:

B

Step-by-step explanation:

x² - 4x - 7 = 0

(x - 2)² = 11

Help please I am struggling thank you

Answers

The answer is 904.8 yd³

Step-by-step explanation:

The formula for a sphere's volume is 4/3πr²

r in this case is 12/2 which is 6. That means that r=6 which gives us 904.78 which is rounded to 904.8.

Answer:

904.32

Step-by-step explanation:

v= [tex]\frac{4}{3\\}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

first cube the radius (6)  (radius is half of the diameter 12)

6x6x6 = 216

multiply by pi

216 x 3.14 = 678.24

multiply by 4/3

[tex]\frac{678.24}{1}[/tex] x [tex]\frac{4}{3}[/tex] = [tex]\frac{2712.96}{3\\}[/tex] = 904.32

Kiera’s middle school is conducting a survey to determine the winter dance theme. Which of the following best describes a random sample?
1 point
A. All of the students in Mrs. Jackson’s class are surveyed
B. Fifty student’s names from each grade are drawn from a hat
C. Fifty randomly selected staff members are surveyed
D. Fifty randomly selected 7th graders are surveyed

Answers

the answer to your question that you asked is b because it is the most random ............

The best description of a random sample for Kiera's middle school survey to determine the winter dance theme is option D: Fifty randomly selected 7th graders are surveyed.

What is random sampling?

Random sampling is a technique for picking a sample from a population in such a manner that each possible sample has a preset probability of being chosen.

As per the question, the sample should be representative of the entire student population, so selecting fifty students from each grade (option B) or all the students in Mrs. Jackson's class (option A) may not be representative of the entire student population.

Similarly, selecting fifty randomly selected staff members (option C) may not be representative of the student population.

Therefore, option D is the best choice as it randomly selects students from the population of interest.

Learn more about random sampling here:

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What is m Please help me I’m willing to pay you for other problems just message me.

Answers

Answer:

56

Step-by-step explanation:

56

hope this helps

¬_¬ :)

Can you conclude from the figure that ABC is similar to DEF? Explain.​

Answers

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.


The perimeter of the triangular park shown on the right is 12x - 1. What is the missing length?

Answers

Answer:

6x-4

Step-by-step explanation:

c-the missing length

(2x+5)+(4x-2)+c = 12x-1

2x+5+4x-2+c=12x-1

6x+3+c=12x-1

6x+4+c=12x =>4+c=12x-6x =>4+c=6x => c=6x-4

What is the missing length? 6x-4

In how many different ways can 3 people select seats at a
dining table having 8 seating positions if they can select any
seat?

Answers

They have 24 different ways of sitting in a restaurant

Does anyone know how to turn off downtime without knowing the password or is there something I can download that anyone knows about

Answers

Before you go any deeper and learn to disable the feature, you might want to know exactly what the feature does on your device and how you can ...

How to write 8^5 x 8^6 as a single power

Answers

Step-by-step explanation:

We know that

[tex]\boxed{\sf a^m\times a^n=a^m+n}[/tex]

[tex] \sf \: {8}^{5} \times {8}^{6} \\ \sf \leadsto \: {8}^{5 + 6} \\ \sf \leadsto {8}^{11} [/tex]

[tex]\sf More\;to\: know{\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}}[/tex]

there are 5 green balls, 1 yellow ball,and 4 red balls in a bag. what are the probabilities?
choosing a red:
not choosing yellow:
choosing a blue:​

Answers

Answer:

it is green balls=5

red balls =4

red +green

5+9

=14

please, help me with this fast!! I'm giving points!!!!

Answers

Answer:

Step-by-step explanation:

c circle

The answer is c :)))))))

Lucy is planting grass in her front yard and backyard. Her front yard is 20 ft. by 35 ft., and her backyard is 13 ft. by 17 ft. What is the total area of the space in which Lucy will plant grass?​

Answers

921^2ft

13x17=221
20x35=700

PLEASE HELP THIS IS OVERDUE!!

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

SOMEONE PLEASEEEE HELPPPP?!?!?!?!!?

Answers

Answer:

Step-by-step explanation:

Top/Bottom = 12

Sides = 15

Front/Back = 20

20 + 15 + 12 = 47

47 / 1/2 = 23.5

what the sum of (2×105)+(3.8×105)=

Answers

609 for sure because if you add the all

PLEASE I NEED HELP ASAP!!

Answers

It would be the last one 8√2

Answer:

8√2

Step-by-step explanation:

#savesheikhjarrah
Let’s all pray for Palestine ♥️

Answers

Answer:

soi de perú         NO INGLISH IS SPANISH

Step-by-step explanation:

JAJAJAJ

Four lines are shown in the graph below.



Which line has the slope with the greatest value?

A
line A

B
line B

C
line C

D
line D

Answers

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

The statement below is a different way to say that the sides of these similar parallelograms are proportional.

Complete the equations that go with the statement.

Answers

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

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Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

Need help on this problem!!

Answers

10^2+15^2=

100+225=325

The square root of 325 is 18.0277563773 is you round it to the hundredths place it’s 18.03

I need help on this one too. Please.

Answers

x=28
Overall it should equal 180 and since the angle 3x+2 is equal to the angle on the top left. Set the equation (3x+10) + (3x+2) = 180
Yehehehehbebsbshsbd Scheherazade3773

Given the function f(x) = x^2-6x+4, determine the average rate of change of the function over the interval 1≤x≤4.

Answers

Answer:

The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^2-6x+4[/tex]

And we want to determine its average rate of change over the interval:

[tex]1\leq x\leq 4[/tex]

The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.

Evaluate each endpoint:

[tex]f(1)=(1)^2-6(1)+4=-1[/tex]

[tex]f(4)=(4)^2-6(4)+4=-4[/tex]

So, our endpoints are (1, -1) and (4, -4).

The slope between them is:

[tex]\displaystyle m=\frac{(-4)-(-1)}{(4)-(1)}=\frac{-3}{3}=-1[/tex]

So, the average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

does anyone know how to solve this problem?

Answers

7? Is seems that the 4 is being added with +2 when it got bigger so I’m thinking the 5 would be the same thing +2 equals 7..that’s what I’m thinking

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

a. x = –15
b. x = –3
c. x = 3
d. x = 15

Answers

D If it’s not D than A sorry if I’m wrong

We will see that the axis of symmetry is x = 3, so the correct option is c.

How to find the axis of symmetry of a quadratic function?

The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.

Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.

Then we only need to find the x-value of the vertex, remember that for a quadratic:

[tex]y = a*x^2 + b*x + c[/tex]

The vertex is at:

[tex]x = -b/2a[/tex]

Then in our case, the vertex is at:

[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]

So the axis of symmetry is x = 3, then the correct option is C.

If you want to learn more about quadratic equations:

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After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with the same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.

Answers

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

HELP !!!!!!!!!!!!!!!!

Answers

f(x)=(x+3)^2 +78 hope this helps!!

Can someone please help me on this please I beg you no links I really appreciate it plz

Answers

Pretty sure you’re right!

help help help i’ll kiss u

Answers

Answer:

I, J

Step-by-step explanation:

help please !!!!!!!!!​

Answers

Answer:

24

Step-by-step explanation:

Translate algebraic words to symbols.
Two times the sum of a and b
A. 2(a + b)
B. 2 + ab
C. 2ab
D. 2(a/b)

Answers

Answer:

Option A

Step-by-step explanation:

That is your answer

Answer:

a) 2(a+b)

Step-by-step explanation:

the sum of 2 numbers (or more) is always addition

so the sum of a  and b would be (a+b)

then, 2 times of a and b;

2(a+b)

^the times sign between the bracket and the 2 isnt needed, whenever there is a bracket and a number next to it, it is automatically a multiplication.

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