Which correctly explains the number of solutions of the following system of linear
equations?
- 3x + 3y = 12
y = x + 4
А The graphs of the equations are parallel lines because they have the same slope
but different y-intercepts. The system has no solution.
B The graphs of the equations are lines that intersect at one point because the
equations have the same slope but different y-intercepts. The system has
exactly one solution.
с
The graphs of the equations are lines that intersect at one point because the
equations have the same slope and same y-intercept. The system has exactly
one solution.
D The graphs of the equations are the same line because the equations have the
same slope and same y-intercept. The system has infinitely many solutions.

Answers

Answer 1

Answer:

D I dont know if im right though

Step-by-step explanation:

Answer 2

The system of equations are same and graphs of the equations are the same line because the equations have the same slope and same y-intercept. The system has infinitely many solutions.

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The first equation is -3x + 3y = 12  be equation (1)  

y = x + 4   be equation (2)

Adding 3x on both sides , we get

3y = 3x + 12

Divide by 3 on both sides , we get

y = x + 4   be equation (3)

So , the equation ( 2 ) is same as equation ( 3 )

Now , the slope of the equation is m = 1 and the y intercept is b = 4

Hence , the equations have infinite solutions

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Related Questions

List all the integers that satisfy

2< x < 6

Answers

Answer:

3,4,5

Step-by-step explanation:

Integers means whole number

< and > means that the integers can't be the same as the number before.

Hope that helps!!

How can you convert 18ft to CM?

Answers

You can convert 18 ft to cm by doing 18 times 30.48. You do this because 1 foot equals 30.48 cm. So you do the multiplication and get 548.64 cm

The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

Answers

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.

Or you can do it using the Pythagorean Theorem directly:

9^2 + 12^2 = 15^2

and that is true.

Answer:

yes it is.

Step-by-step explanation:

pythagorean theorem. A^2 + B^2 = C^2

Ex 9^2 + 12^2 = 15^2

Someone please help me ASAP because I am really stuck thank uuuuu!!!!!

Answers

81/200 is the answer

Answer:

2 3/10

Step by step explanation:

choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??​

Answers

Answer:

a) third degree trinomial

Step-by-step explanation:

The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.

Now we look at the degree of each term:

2x: degree 1 (since x is the same as x^1)

10x^2: degree 2

-x^3: degree 3

The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.

The polynomial has 3 terms, so it is a trinomial.

Answer: a) third degree trinomial

A should be your answer! Have a nice day!


Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?

Answers

Answer:

6.84 weeks

Step-by-step explanation:

$719.95 - $178.95 = 541$

541/79 = 6.84 weeks

PLZ HELP ASAP ASAP!!!!

Answers

Answer: Choice A

==============================================================

Explanation:

The value of k determines the slope, or rate of change, of how fast the balloon is climbing per second.

For example, if k = 5, then that means the balloon is going upward at 5 feet per second (equivalent to roughly 3.41 mph)

If k = 5, then y = kt becomes y = 5t. Note how we have the following

t = 0 leads to y = 0t = 1 leads to y = 5t = 2 leads to y = 10t = 3 leads to y = 15

and so on. Each time t goes up by 1, d goes up by 5. This is one way to see how the speed is 5/1 = 5 ft per second.

A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.

Answers

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42


Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5

Answers

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ([tex]m[/tex])

When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:

[tex]y=3x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.

[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]

Subtract both sides by 12

[tex]-3-12=12+b-12\\-15=b[/tex]

Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.

[tex]y=3x+(-15)\\y=3x-15[/tex]

I hope this helps!

Simplify. 6(23x–5)−7x−8

Answers

The answer is 131x - 38.

The regular price of a pair of shoes is $65.00. The shoes are on sale for $58.50. What is the percent decrease in the price of the shoes?

Answers

Answer:

10%

Step-by-step explanation:

65.00x10%=6.50

65.00-6.50

0r you can do

65.00-10%=58.50

Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.


Write an expression to represent the total cost of the shirts in two different ways.


Enter the correct answers in the boxes.

Answers

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

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What is the value of x to the nearest tenth ?

Answers

Answer:

7.2

Step-by-step explanation:

24/2 = 12

19.2/2 = 9.6

[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84

[tex]\sqrt{51.84}[/tex] = 7.2

One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?





Please help

Answers

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

if x-y=9,x²+y²=27,then xy=?​

Answers

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

Reflect the point ( 7, 1) on the line y=x.

Answers

Answer: (1, 7)

Step-by-step explanation:

When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)

(7, 1) to (1, 7)

Help Fast!!! What is 65 divided by 2,210 in a number not percentages or a fraction.

Answers

Answer:

0.02941176...

— Used a calculator for this, so it is guarantied correct! Hope this helps. Brainliest appreciated (and very much needed)

pls help me answer this (multiple choice)

Answers

Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

Plz need an answer fast

Answers

Answer:

Not a function becuase one input value corresponds with multiple output values.

Step-by-step explanation:

Hope it helps

Write an equation to represent the situation: A starfish descends 2/3 of a meter each hour, h, until it has moved 6 total meters.

Answers

Answer:

6=2/3h

Step-by-step explanation:

XYZ will be translated so that the coordinates of X are (5,11)

Answers

Answer: B

Step-by-step explanation:

f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function​

Answers

Answer:

Here, the given function,

Since, the leading coefficient is negative, and degree is odd,

Thus, the end behaviour of the function is,

Therefore, the graph rises to the left and falls to the right.

Now, when f(x) = 0

That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).

When x = 0,

That is, graph intersects the y-axis at ( 0, -3),

Also, for 0 > x > -1 , f(x) is decreasing,

For 2.55 > x > 0, f(x) is increasing,

For 3 > x > 2.55, f(x) is decreasing,

PLS ASSAAAAPPP IMMA CRY( MAY U PLS SHOW HOW TO DO IT LIKE THE WORK)!!
Darwin's house is located on the edge of a park. He leaves his house and walks north along the edge of the park for 5 blocks. He turns and walks 12 blocks west in the park. He then walks directly back to his house in a straight line across the park. Determine the total distance of his trip. HINT: you must find the length of the hypotenuse

Answers

Answer:

here you go

Step-by-step explanation:

plsss help ASAP!!!
BRAINLIEST

Answers

When x is -2 then y is 2

PLS HELP. CIRCUMFERENCE QUESTION! WILL GIVE BRAINLIEST

Answers

Answer:

L = 24,873.6 miles

Step-by-step explanation:

Length of the Circumference

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

L = 24,873.6 miles

enter an equation that represents the function defined by this table of values​

Answers

Answer: -3x + 1

Step-by-step explanation:

Looking at the y table, when we subtract 1 from them, they become multiples of -3

So we multiply x by -3 then add 1

Solve for x. (3x + 17) (8x - 46)​

Answers

Answer:-15

Step-by-step explanation:

The value of x in the given expression (3x + 17) (8x - 46)​ is -17/3 or 23/4

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (3x + 17)(8x - 46)​, we need to find the value of x,

(3x + 17)(8x - 46)​

To find the value of x, equate the expression to 0,

(3x + 17)(8x - 46)​ = 0

3x+17 = 0

x = -17/3

or

8x-46 = 0

8x = 46

x = 23/4

Hence, the value of x is -17/3 or 23/4

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WOULD SOMEONE TELL ME PLEASE !!

Answers

Answer:

A and C

Step-by-step explanation:

alternate-exterior angles need to have one angle above the first line and the other angle below the second line and the angles have to be on different sides of the transversal

Halp,ignore the answer I chose lolz

Answers

Answer:

the answer will be b that should be the answer

Priya has a recipe for banana bread. She uses 7.5 cups of flour to make 3 loaves of banana bread. How much flour does Priya need to make 1 loaf of bread?

Answers

Answer:

It would take 2.5 cups of flour to make 1 loaf of bread.

Step-by-step explanation:

You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.

7.5/3 = 2.5

it would take 2.5 cups of flour to make 1 loaf of bread.

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