A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer 1

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel lines

If a system has at least one solution, it is called consistent

If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

The best answer is " The lines are the same "


Related Questions

What is the measure of the missing angle?
36°
57°

Answers

Answer:

7767788877787887+-77-7

The first one is right I did it

Which of the following Geometric Objects are defined? Select ALL that apply.​

Answers

Answer:

[]line

[]plane

[]line segment

BRAIN MEH

find the value of x. PLEASE HELP!!!!

The answer is 8 - but I need to show my work.

Thanks so much

Answers

Answer:

Step-by-step explanation:

Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,

we know that :

49 + (1+5x) = 90

solving for x delivers x=8

Menu
BBQ Chicken Platter: $11.99
Sirloin Steak Fajitas: $14.99
Vegetarian Fajitas: $7.99
Shrimp Tacos: $8.59
Your family is going to their favorite restaurant this evening. Both your parents order the sirloin steak fajitas. Your little brother and sister are going to split the BBQ chicken platter. You order the shrimp tacos. What is the total bill for the family?​

Answers

Answer:

$50.56

Step-by-step explanation:

First- Calculate the number of dishes ordered and their prices-

Parents order-

Sirloin Steak Fajitas: $14.99 x 2

Little Sister and little brother-

BBQ Chicken Platter: $11.99

Your order-

Shrimp Tacos: $8.59

Add the amount-

14.99 + 14.99 + 11.99 + 8.59 = 50.56

Total bill 50.56

PLZ HELP WILL GIVE BRAINLYIST

Answers

Answer:

400 40

Step-by-step explanation:

HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!!

Answers

Answer:

I would study more, dedicate more time. I would NOT give up at all. Take constant breaks to reset your brain. Do practice problems and more.

Step-by-step explanation:

What is the approximate
area of a circle with a diameter of 7?

Answers

Answer:

38.48

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints. (6, 4) and (9, 1)​

Answers

Answer:

[tex](\frac{15}{2},\frac{5}{2})[/tex]

Hope this helps!

If peter drove for 9 hours at an average speed of 63 miles per hour, how far did he drive?

Answers

Answer:

567 miles

Step-by-step explanation:

9 hours x 63 miles per hour = 567 miles total

2x + y = 15
Whats the slope

Answers

Answer:

-2

Step-by-step explanation:

Y = mx+c

M here being the number in front of x

Question 2: A researcher plans to examine what butterfly species are present in one acre of prairie land in Alberta, Canada. The data will be collected as a list of the Latin name for the species. This data can be considered: * qualitative nominal qualitative ordinal quantitative discrete quantitative continuous

Answers

Answer:

qualitative nominal

Step-by-step explanation:

The data collected while examining the species of butterflies present in a particular area which are represented using Latin names is a non-numeric data type is aimed at separating or making distinction among the species available. These types of data used in classification are called Qualitative variables.

Also, the data is nominal and not ordinal, this is because there is no sort of order or ranking in the groups or species names. Qualitative variables in which does not posses ordering or ranking in the categories are represented on the nominal scale. Whose which implies order or rank are represented on the ordinal scale.

si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total​

Answers

Answer:

$90

Step-by-step explanation:

10% de 100 es 10; 100-10=90

Answer:

90 pesos

Step-by-step explanation:

10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.

Si necesitas que te lo explique mas, dime y te ayudare :)

i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)

Answers

Use the quotient rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]

A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that the atmospheric pressure decreases by 12% for each additional kilometer the city is above sea level. The atmospheric pressure at sea level is 103 kPa (kilopascals). Define a function, p , that determines the atmospheric pressure (in kPA) in terms of the number of kilometers the city is above sea level, n .

Answers

Answer:

The function [tex]p(n)[/tex] is represented by [tex]p(n) = 103\cdot (0.88)^{n}[/tex].

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

[tex]p(n) = p_{o}\cdot r^{n}[/tex] (Eq. 1)

Where:

[tex]p_{o}[/tex] - Atmospheric pressure at sea level, measured in kilopascals.

[tex]r[/tex] -Atmospheric pressure decrease rate, dimensionless.

[tex]n[/tex] - Height above sea level, measured in kilometers.

[tex]p(n)[/tex] - Current pressure, measured in kilopascals.

If we know that [tex]p_{o} = 103\,kPa[/tex] and [tex]r = 0.88[/tex], the function [tex]p(n)[/tex] is represented by:

[tex]p(n) = 103\cdot (0.88)^{n}[/tex]

How many 2/3 cup servings are in 28/3 cups of yogurt

Answers

The answer fam is..... 14

raphael takes 15 pages of notes during math class. Then he takes 35 pages of notes during 14 hours of math class. How many pages of notes would raphael expect to take during 3 hours of math class?

Answers

Answer:

Raphael will take 7.5 pages of notes during 3 hours of math class.

Step-by-step explanation:

Given;

35 pages were taken during 14 hours maths class

how many pages of math would Raphael take during 3 hours maths class ?

14 hours --------------35 pages

3 hours --------------- ?

= (3 x 35) / 14

= 7.5 pages

Therefore, Raphael will take 7.5 pages of notes during 3 hours of math class.

Coca-Cola bottling company makes both glass and aluminum containers for their soda. The bottle machine is able to produce 2100 bottles every 6 hours. How many more bottles could they make in 8 hours that they can in 6 hour?
Group of answer choices

Answers

700

2100/6 is 350
350*8 is 2800
2800-2100=700

Cindy is three years older than her brother and 8 years older than her sister. If the sum of
their ages is 25 years, how old is Cindy now?

Answers

Answer:

She is 12 years old

12-3=9

12-8=4

12+9+4=25

I need help nowwwwww !!!!!????

Answers

you should just have to times the yards by three like the second one is 12

HELP PLEASE!!!! WILL MARK BRAINLIEST, AND FRIEND REQUEST!!!!

which expression represents a rational number

5/9 + [tex]\sqrt{18}[/tex]

[tex]\pi + \sqrt{16}[/tex]

2/7+ [tex]\sqrt{121}[/tex]

3/10 + [tex]\sqrt{11}[/tex]

Answers

Answer:

hmm easy peasy

Step-by-step explanation:

C

C is the only answer with the square root thats a whole number while the rest of the answers ' square roots are not whole number answers and the numbers after the decimal go on forever  making it an irrational number. Also, for B, pi is not a rational number.

"The intersection of two planes is a line" is a statement that is generally accepted as true, but
cannot be proven to be true. What type of statement is this?
1. defined
2. undefined
3. postulate
4. proof

Answers

Answer:  3. Postulate

A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.

HELP ASAP

What is the value of x?
O x = 55°
O x = 60°
O x = 70°
O x = 110°

Answers

Answer:

the answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees

Step-by-step explanation:

The scale on a map is 1 :50000.

The area of a field on the map

is 1.2square centimetres.

Calculate the actual area of the field in square kilometres.

Answers

Answer:

The actual area of the field in square kilometers is [tex]30000000 km^2[/tex]

Step-by-step explanation:

Scale : 1 cm = 50000 km

Area of field on map = [tex]1.2 cm^2[/tex]

Now , 1 cm = 5000 km

[tex]1 cm^2 = (5000 km)^2[/tex]

We are supposed to find the actual area of the field in square kilometers.

So, the actual area of the field in sq. km =[tex]1.2 \times (5000)^2[/tex]

Actual area of the field in sq. km [tex]=30000000 km^2[/tex]

Hence the actual area of the field in square kilometers is [tex]30000000 km^2[/tex]

Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.

Answers

                                                  [tex]\huge\boxed{125.}[/tex]

[tex]\boxed{-------------------------------------}[/tex]

Explanation...

So, 25 legislators represents 500,000 people.

We are trying to find how much legislators you need to represent 2,500,000.

500,000*5=2,500,000.

25*5=125.

Therefore, your answer is 125.

[tex]\boxed{-------------------------------------}[/tex]

Hope i helped!

[tex]\huge\boxed{Thanks,Plip.}[/tex]

Answer: 125

In Kennington, 25 legislators represent 500,000 people.

Find how many times 500,000 go into 2,500,000 people.

2,500,000 ÷ 500,000 = 5

Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.

25 x 5 = 125.

Answer = 125.

Hope this helps you!

Teresa babysits for her neighbors. She charges $13 for the first hour and $10 for each additional hour. Write a rule for the total amount of money she charges, T, based on the number of hours she babysits, H. Angela also babysits for her neighbors. She charges $11 per hour. Which babysitter, Teresa or Angela, will charge less to babysit for 2 hours? 3 hours? 4 hours? Show evidence for your answers.

Answers

Answer:

13 + 10 + 10= 23, 33

11 + 11 + 11 = 22, 33

Angela is cheaper for two

Same price for 3

Teresa is cheaper for 4

Step-by-step explanation:

You should choose who you want by the hours you will be gone knowing who is more and less

F(t) = 1,500(1.045)^t
The future value, F(t), of an investment after t years is given by the function defined above.
What is the initial value of the investment?

Answers

Answer: F(t)=1500

Step-by-step explanation:

hope this helps

The initial value of the investment in the given function is 1500.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

Given that the future value, [tex]F(t) = 1,500(1.045)^t,[/tex] of an investment after t years is given by the function defined above. Therefore, the initial value of the investment in the given function is 1500.

Learn more about Compound Interest:

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The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates

point S.

Answers

Answer:

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Step-by-step explanation:

Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:

[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)

Now clear S in the previous expression:

[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)

Then, the coordinates of point S are:

[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]

[tex]S(x,y) = (8, -18)[/tex]

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Choose an expression for the number of scoops Zack needs to fill both feeders. Will make brainliest if u tell me in under a minute!!!

Answers

Answer:

C

Step-by-step explanation:

Please mark brainliest

colleen is searching online for tickets two weeks ago the cost to fly from orlando to hartford was 200$ . Now the cost is 335$ what is the percent increase what would be the percent increase if the airline charges an additional $50 baggage fee with the new price. the percent increase of the airline ticket is...... and i will give a brainlest to the best

Answers

The percentage increase for flight tickets to fly from orlando to hartford would be = 67.5% and 92.5% when there is an additional $50 to the new price.

What is percentage Increase?

Percentage increase is defined as the rise in the quantity or amount for an object which is converted into percentage.

The formula for percentage increase would be = increase ÷ original amount × 100

The increase of the cost = 335 - 200 = $135

The original amount = $200

The percentage increase = 135/200 × 100

= 13500/200 = 67.5%

But if the increase in cost is 135 + 50 = $185

The percentage increase of the new cost would be;

= 185/200 ×100

= 18500/200

= 92.5%

Learn more about percentage here:

https://brainly.com/question/24339661

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The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding on the outer ring, which is 10 feet farther out from the center than the inner ring is. In one rotation of the carousel, how much farther does Juan travel than Fred? Use 3.14 for .

Answers

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

[tex]s=\theta \cdot r[/tex] (Eq. 1)

Where:

[tex]r[/tex] - Radius, measured in feet.

[tex]\theta[/tex] - Angular arch, measured in radians.

[tex]s[/tex] - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ([tex]r = 7\,ft[/tex], [tex]\theta = 2\pi[/tex])

[tex]s= 2\pi\cdot (7\,ft)[/tex]

[tex]s = (3.14)\cdot (7\,ft)[/tex]

[tex]s = 21.98\,ft[/tex]

Juan ([tex]r = 17\,ft[/tex], [tex]\theta = 2\pi[/tex])

[tex]s= 2\pi\cdot (17\,ft)[/tex]

[tex]s = (3.14)\cdot (17\,ft)[/tex]

[tex]s = 53.38\,ft[/tex]

And the difference between both travelled distances is:

[tex]\Delta s = 53.38\,ft-21.98\,ft[/tex]

[tex]\Delta s = 31.4\,ft[/tex]

Juan travel 31.4 feet farther than Fred in one rotation.

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