If a system of linear equations has no solution, what do you know about the slopes and y-intercepts of the graphs of the equations?

Answers

Answer 1

No solution means the slopes of the equations are the same, because they're parallel. Because they different and parallel lines, the y-intercepts will be different.

Answer 2

Answer:

The slopes of the graphs are the same and the y-intercepts of the graphs are different.

Step-by-step explanation:

Related Questions

The question is "Find the number of elements in the following sets"
I sort of get it but it docks me points every time I get it wrong so I don't want to risk it

Answers

I hope this helps you

U=66+17+53+82=218

A' = 53+82=135

A'∩B=53

(A∩B)'=66+53+82=201

(A∪B)'=82

A' ∩ B' = 82

Help!!!!! Identify KPN

Answers

m<KPN = 1/2(90+50) = 140/2=70

answer D. 70 (last choice)

Answer:

it is 70

Step-by-step explanation:

I guessed and got it right, lol

Factor the following.

Answers

This trinomial is also a perfect square trinomial so it can be solved using perfect squares.

(x-10)^2

Answer: B

Hope this helps :)
Please give brainliest

x² - 20x + 100

Once again, I'll just go through all of the answer choices :)

a) (x - 5)(x - 4)

Simplify.

x² - 4x - 5x + 20

Add like terms.

x² - 9x + 20

So, A is incorrect.

b) (x - 10)(x - 10)

Simplify.

x² - 10x - 10x + 100

Add like terms.

x² - 20x + 100

So, B is correct.

c) (x + 10)²

(x + 10)(x + 10)

Simplify.

x² + 10x + 10x + 100

Add like terms.

x² + 20x + 100

So, C is incorrect.

d) (x + 10)(x - 10)

Simplify.

x² - 10x + 10x - 100

Add like terms.

x² - 100

So, D is incorrect.

Therefore, B is correct.

~Hope I helped!~

Determine whether the sequence converges or diverges. If it converges, give the limit.

11, 44, 176, 704, ...

Answers

The term to term rule is multiplying by 4 and if we continue doing this, we will move towards very large positive numbers.

This sequence, therefore, diverges to infinity

20 POINTS PLUS BRAINLIEST!!!

Which function is represented in the table of values?

x 0 -1 -2 -3
y 2 4 8 16

A.
y=2^x
B.
y=2(1/2)
C.
y=-2^x
D.
y=(1/2)^x

Answers

The correct answer is D.
y = (1/2)^x

y = (1/2)^-1 = 2
y = (1/2)^-2 = 4
y = (1/2)^-3 = 8

Hope it helped!

10 POINTS!!! TO ANSWER CORRECTLY AND BRAINLIEST!!!!

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.

Answers

1/5 = 3/15
2/3 = 10/15
3/15 + 10/15 = 13/15

The LCD is 15, so multiply the numerator and denominator of 1/5 by 3, this leaves us with 3/15. Now, multiply the numerator and denominator of 2/3 by 5,
this leaves us with 10/15. Now, if we add 3/15 and 10/15, we get 13/15. This cannot be simplified because 13 is a prime number, thus it is only divisible by itself and 1.

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.

Answers

check the picture below.

so, the left-part of the picture is the focus point and the directrix... .so.. notice, the focus is above the directrix, meaning is a vertical parabola and is opening upwards.

now, looking at the right-part of the picture, bear in mind that, the vertex is "p" units away from the directrix and the focus, so, the vertex is half-way between those fellows, notice in the picture what "p" is, keep in mind that, because the parabola is opening upwards, "p" is a positive unit, thus is 3.

[tex]\bf \textit{parabola vertex form with focus point distance}\\\\ \begin{array}{llll} (y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\ \boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\ \end{array} \qquad \begin{array}{llll} vertex\ ({{ h}},{{ k}})\\\\ {{ p}}=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \begin{cases} h=-5\\ k=2\\ p=3 \end{cases}\implies [x-(-5)]^2=4(3)(y-2) \\\\\\ (x+5)^2=12(y-2)\implies \cfrac{(x+5)^2}{12}=y-2\implies \cfrac{(x+5)^2}{12}+2=y \\\\\\ \cfrac{1}{12}(x+5)^2+2=y[/tex]

Answer: D

Step-by-step explanation: took the test

what is the least common multiple of X and Y? X=2*2*2*2 Y=2*2*2*3

Answers

[tex]\text{lcm}(x,y)=2^4\cdot3=48[/tex]

The least common multiple is the product of the highest occurring primes of the numbers prime factorizations, in this case:

2*2*2*2*3=48

P(A)=25,P(B|A)=920,P(A∩B)=?

Answers

Final answer:

We use the product rule in probability to find P(A∩B) = P(B|A) * P(A). Substituting given values, P(A∩B) = (9/20) * 25, which equals 11.25.

Explanation:

The subject area of this question is probability, a topic within mathematics. Here, we are asked to find the intersection of Events A and B given the probabilities of A and the conditional probability of B given A. The rule of product in probability states that P(A∩B) = P(B|A) * P(A).

Let's calculate: P(B|A) is given as 9/20 while P(A) is 25. Thus,

P(A∩B) = P(B|A) * P(A) = (9/20) * 25 = 11.25

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

Help please..........,.,,,

Answers

A, the cost of 6 show tickets is $30, the blue dot is where 30 and 6 intersect. Hope this helps.

A is your answer its 30 dollars for 6 tickets

Find the missing factor n(n-3)+2(n-3)=() (n-3)

Answers

Greetings!

Solve for the missing factor: [tex](x)[/tex]
[tex]n(n-3)+2(n-3)=x(n-3)[/tex]

Divide both sides by [tex](n-3)[/tex]:
[tex] \frac{n(n-3)}{(n-3)} + \frac{2(n-3)}{(n-3)}= \frac{x(n-3)}{(n-3)} [/tex]

Cancel Common Factors:
[tex]n+2=x[/tex]

The Missing Factor is:
[tex]\boxed{n+2}[/tex]

I hope this helped!
-Benjamin

D: y> -1/3 x+1 helpppp

Answers

The answer is A. It is less than or equal to because the line is solid instead of dashed. It is less than because the shaded portion is below the line.

decimal fundamentals
add 729.3 + 3.4006

Answers

732.7006 is the answer to this question

Rewrite the rational exponent as a radical.

5 to the 3 over 4 power, to the 2 over 3 power

A.the cube root of 5 squared
B. the twelfth root of 5
C. the square root of 5
D.the cube root of 5 the fourth power

Answers

[tex]\left( 5^{ \frac{3}{4} } \right)^{ \frac{2}{3} }=5^{ \frac{3}{4} *\frac{2}{3} }=5^{ \frac{1}{2} }= \sqrt{5} [/tex]

C. the square root of 5

Find the value of the variable and DF if D is between C and F if CD 4y -9, DF 2y-7, and CF 14.

Answers

CF = CD + DF (since D is simply a point on the line, and C to that point added onto F to that point is CF), so 4y-9+2y-7=14. Adding it up, we get 6y-16=14 and adding by 16 we get 30=6y. Dividing both sides by 6, we get y=5. Plugging that into DF, we get 10-7=DF=3

if <6 = <10 and <5 = <7, which describes all the lines that must be parallel?

Answers

second: Only lines t and u must be parallel

Please check my work!

Answers

That is correct! The graph shows that the students their are 40 students that have both a part-time job and a cell phone. B) Is correct.

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 13 m/s. The ball's height h (in meters) after t seconds is given by the following.

h=1+13t-5t^2

Find all values of t for which the ball's height is 8 meters.

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Here the answer is: 0.76 and 1.84

I hope I don't have to explain it again.

For t=1.84 and t=0.76 the ball's height is 8 meters in equation h=1+13t-[tex]5t^{2}[/tex].

What is equation?

An equation is a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+ by=c. It is solved in order to find the values of variables.

How to solve equation?

We have been given an equation h=1+13t-[tex]5t^{2}[/tex] and we have to find the values of t for which h=8.

So,

1+13t-[tex]5t^{2}[/tex]=8

[tex]-5t^{2}[/tex]+13t+1-8=0

[tex]-5t^{2}[/tex]+13t-7=0

Removing negative signs.

[tex]5t^{2}[/tex]-13t+7=0

We cannot solve through factorization so e use the following formula:

x=-b+-[tex]\sqrt{b^{2} -4ac}/2a[/tex]

t=(13+-[tex]\sqrt{-13^{2} -4*5*7}[/tex])/2*5

t=(13+-[tex]\sqrt{169-140}[/tex])/10

t=(13+5.38)/10, (13-5.38)/10

t=1.838, 0.762

By rounding off to nearest hundred t=1.84, 0.76.

Hence value of t for which h=8 meters are 1.84 and 0.76.

Learn more about equations at https://brainly.com/question/2972832

#SPJ2

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 4 represent? (1 point) The starting population of the rabbits The population of the rabbits after five years The rate the population increases The number of years that have passed

Answers

Exponential functions are of the form:

y=ab^x, y=final amount, a=initial amount, b=rate, t=time

So the value a, 4 in this case, is the starting population of the rabbits.

Answer: The starting population of the rabbits

Step-by-step explanation:

Given: The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972.

We know that the exponential growth function is given by :-

[tex]f(x)=Ab^x[/tex], where A is the initial amount and b is the multiplicative rate of change in time x.

As compared to the given exponential function, we have

A=4

Therefore, 4 represents the starting population of the rabbits

Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building. If he places the ladder at a 60° angle with the ground, about how long is the ladder?

Answers

Check the picture.

Let BC represent the wall, AC the ladder and AB the distance of the feet of the ladder to the wall.

ABC form a right triangle, with m(B)=90°, m(A)=60° and m(C)=30°.

AB is the side opposite the angle 30°, so the length of AB is half of the length of the hypotenuse AC.

Thus, let |AC|=2x, and |AB|=x.

By the Pythagorean theorem:

[tex] (2x)^{2}= x^{2} +30^{2} [/tex]

[tex] 4x^{2}= x^{2} +30^{2} [/tex]

[tex] 3x^{2}=30^{2}=900 [/tex]

[tex] x^{2}=300 [/tex]

thus [tex]x= 10\sqrt{3} [/tex]

the length of the ladder is [tex]2x= 20\sqrt{3}=34.64 [/tex] feet

Answer: [tex]20\sqrt{3}=34.64 [/tex] feet

The height of the ladder will be;

⇒ 20√3 feet

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building.

And, He places the ladder at a 60° angle with the ground.

Now,

Let the height of the ladder = h

So, We can formulate;

⇒ sin 60° = 30/h

⇒ √3/2 = 30/h

⇒ h = 30 × 2/√3

⇒ h = 20√3

Thus, The height of the ladder = 20√3 feet

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ3

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

A. (2, 1)
B. (1, 1)
C. (0, 1)

Answers

The answer is B because y=2x-1

Answer:

The point that lie on the line is:

B. (1,1)

Step-by-step explanation:

We are given that a line passes through the point (0,-1) and has a slope of 2.

We know that the equation of a line passing through (a,b) and having slope m is given by:

[tex]y-b=m(x-a)[/tex]

Here we have: (a,b)=(0,-1) and m=2

This means that the equation of line is:

[tex]y-(-1)=2(x-0)\\\\y+1=2x\\\\y=2x-1[/tex]

Now we will check which option is true.

(2,1)

when x=2

we have:

[tex]y=2\times 2-1\\\\\\y=4-1\\\\\\y=3\neq 1[/tex]

Hence, option: A is incorrect.

(1,1)

when x=1

we have:

[tex]y=2\times 1-1\\\\\\y=2-1\\\\\\y=1[/tex]

Hence, option: B is correct.

(0,1)

when x=0

we have:

[tex]y=2\times 0-1\\\\\\y=0-1\\\\\\y=-1\neq 1[/tex]

Hence, option: C is incorrect.

Find two consecutive positive integers such that thw sqaure of the first decreased by 25 equa;s three times the second

Answers

consecutive integers are 1 apart

so

square of the first decreased by 25 equals 3 time the 2nd
the 2 integers are x and x+1

x²-25=3(x+1)
distribute
x²-25=3x+3
minus (3x+3) from both sides
x²-3x-28=0
factor
what 2 numbers muliply to get -28 and add to get -3
-7 and 4
(x-7)(x+4)=0

set to zero

x-7=0
x=7

x+4=0
x=-4
false, we want positive integers

x=7
x+1=8

the inegers are 7 and 8

F a company provides 1 1/4 vacation days to its employees every month, how many vacation days does an employee get every year?

Answers

1 1/4 per month

12 months per year

1 1/4 * 12 =

5/4 * 12/1 = 60/4 = 15

they get 15 days per year

PLEASE HELP ME!!!!

Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.

Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Answers

Part A:

The equation in standard form is given Ax+By+C = 0
where x is the gradient of a straight line (or the rate of change)

The rate of change = (113-43) / (8-3) = 70/5 = 14
This value means there's an increase of $14 for every hour rented.

We also need to work out the value of C, which is the fixed value (happen at x=0)

We know that Amir paid $43 for 3 hours.
Amir would have paid $29 for 2 hours
Amir would have paid $15 for 1 hour
Since the hourly rate is $14, the fixed fee is 15 - 14 = $1

The equation that represents the total cost of renting a scooter is

y = 14x + 1

Rearranging this equation to get the standard form
14x - y + 1 = 0

Part B:

Writing the equation as function ⇒ f(x) = 14x + 1

Part C:

To graph the equation, we can start by choosing the x-intervals, say we have the value of x between 0 and 10

x 0 1 2 3 4 5 6 7 8 9 10
y 1 15 29 43 57 71 85 99 113 127 141

Each pair of x-value and y-value is then plotted on a graph then each plot is joined to draw a straight line.

Answer:

Step-by-step explanation:

Part A: The two points that represent this situation are (3,43) and (8,113). To put this in standard form, I will first find the slope-intercept form. I did this in the image below.

Now, to find the standard form I will rearrange, 14x -y +1 = 0.

Part B: To put this in function notation I simply take my slope-intercept equation of y=14x+1, and replace y with f(x) so, f(x)=14x+1

Part C: To graph this, put the y, intercept at 1, and give the line a slope of 14/1. Label the x-axis with hours, from 0 - 8, and the y-axis with dollars, from 0-150.

Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°. Approximately how tall is the tree?

Answers

This is the concept of trigonometry, the height of the tree will be given by:
tan theta=[opposite]/[adjacent]
theta=80
height=h
adjacent=5 m
hence;
tan80=h/5
hence;
h=5tan80
h=28.36 m

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2-3x-3=0

Answers

x^2 - 3x = 3
(x - 1.5)^2 - 2.25 = 3
(x - 1.5) = +/- sqrt 5.25

x = 1.5 +/- sqrt5.25

x = -0.79, 3.79 to nearest hundredth

This is the answer I wrote it all out

for which of the following numbers does 5 appear in the tens place ?
*check all that applies*
a. 125.634
b. 56.89
c. 1250
d. 3.5
e. 92.57

Answers

5 appear in the tens place

answer:
b. 56.89
c. 1250

The answers are b and c. It's talking about the "tens" place, not the "tenths" place, so neither d or e are correct.

If F(theta)=tan theta=3, find F(theta+pi)

Answers

Given:
f(θ) = tan(θ) = 3

Note that
[tex]tan(x+y) = \frac{tanx + tany}{1-tanx \, tany} [/tex]

Note that tan(π) = 0.
Therefore
f(θ + π) = tan(θ+π)
= (tanθ + tan π)/(1 -tanθ tan π)
= 3/1 = 3

Answer: 3

As given
[tex]f(\theta) = tan( \theta) = 3[/tex]

So [tex]f(\theta + \pi) = tan (\theta + \pi)[/tex]

And we know [tex]tan(\theta + \pi) = -tan(\theta)[/tex] because it is in second quadrant and tan is negative in second quadrant.

So [tex]f(\theta + \pi) = -tan(\theta) = -3[/tex]

So answer is -3.

Convert 48°36'12" to the nearest thousandth of a degree

Answers

48 degrees remains

divide minutes by 60

36/60 = 0.6

then divide seconds by 3600

12/3600=0.003 ( to nearest thousandth)

now add them all up

48 +0.6 + 0.003 = 48.603 degrees

how to solve 46.2 x 10 with a negative 2 exponent

Answers

The answer is 0.462 because you have to move the decimal point 2 spaces to the left
hope this helps:)

46.2 x 10^-2 = 46.2 / 10^2 = 46.2 / 100 = 0.462

Other Questions

If you flipped a fair coin 6 times and got 6 heads, what would be the probability of getting a head on the next toss? enter your answers as fractions. how does republic dominican influenced the world in terms of art, history, culture, and literature? Which term describes a possible explanation of, or answer to, a scientific question that is based on prior knowledge or research and that is testable? conclusion experiment hypothesis prediction The density of silver is 10.5 g/cm3 . what is its density in ng/(mm)3 During piaget's pre-operational stage of development a child cannot take another person's point of view because the child's thinking is ________. Read the sentence.After my plans were criticized as un realistic, I tried a more PRAGMATIC approach.Use context clues to select the correct meaning of the underlined word. Which is a better deal on a $39.99 item: 50% off original price or 40% off, plus additional 20% at the register? how many Nazis were convicted of war crime in Europe in 1945 to 1949? ABCDEFGHIJ is a regular decagon. Find the length of the apothem. Round the answer to the nearest tenth.A.8.0B. 20.5 C.24.7D.26.0 Which of the following accurately describes archeology? A.The study of the past through artifacts B. The interpretation of the past through research C. The exploration of new civilizations D. The analysis of languages from around the world On june 8, alton co. issued an $90,000, 6%, 120-day note payable to seller co. assuming a 360-day year for your calculations, what is the maturity value of the note?a. $90,450b. $90,000c. $91,800d. $95,400 Suppose we did an experiment that gathered data on the time a person could stand balanced on one leg. subjects in our experiment are timed standing on one leg with their eyes open, and also with their eyes closed. are these data paired or independent? A thief can travel 260 miles total with on tank of gas. Using only one tank of gas, what is the farthest city that the thief can reach? (4.5 cm = 150miles) Stars originate as large bodies of slowly rotating gas. because of gravity, these clumps of gas slowly decrease in size. the angular velocity of a star increases as it shrinks because of Consider LNM. Which statements are true for triangle LNM? Check all that apply. The side opposite L is NM. The side opposite N is ML. The hypotenuse is NM. The hypotenuse is LN. The side adjacent L is NM. The side adjacent N is ML. Water weighs about 8.34 pounds per gallon. About how many ounces per gallon is the weight of water? is this correct? if not please let me know how to solve it A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah? what is the proportion for 2/3 and 8/10 Gabby solvedx2 - 3x = 4as shown below:x2 - 3x - 4 = 0(x - 4)(x + 1) = 0x = -4 and x = 1Caitlyn says Gabby is wrong and believes this is the solution:x2 - 3x - 4 = 0(x - 4)(x + 1) = 0x = 4 and x = -1Is Gabby or Caitlyn correct? What mistake was made by the incorrect girl? Type your response in the box provided. Steam Workshop Downloader