A system of linear equations has infinitely many solutions. What is known about the slopes and y-intercepts of the graphed equations? Explain your reasoning.

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Answer 1

Answer:

The answer is below

Step-by-step explanation:

The graph of a linear function can be represented as:

y = mx + b;

where y and x are variables, m is the slope of the graph and b is the y intercept.

A system of linear equations has infinitely many solutions, when the lines overlap at every point. In other words, they're the same exact line, having the same equation when simplified.

This means that they have the same slope and y intercepts


Related Questions

HELP PLEASE DUE IN 3 MINUTES

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the answer is seven. hope this helped

Alan has read 70% of a book and he has 15 pages left to read. How many pages are in the book

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Answer:

Step-by-step explanation:

please help as soon as possible

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Answer:

∠ABC = 54°

Step-by-step explanation:

an inscribed angle is 1/2 the size of an incenter angle.

so:

∠AMC = 2(∠ABC)

10x - 12 = 2(4x + 6)

10x - 12 = 8x + 12

simplify:

2x = 24

x = 12

∠ABC = 4(12) + 6 = 54°

Can someone help me with this question.

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x=-4 that is the answer.

-3x + y = 1 4x + y = 8

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-3x+y=1

/-3      /-3

x+y=-1/3

4x+y=8

/4      /4

x+y=8

---

hope it helps

Answer:

x=-1y-9

Step-by-step explanation:

how would i graph
y=− 5/2x-3
and
x−y=−4
(_,_)

Answers

Given:

The system of equations is

[tex]y=-\dfrac{5}{2}x-3[/tex]

[tex]x-y=-4[/tex]

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for [tex]y=-\dfrac{5}{2}x-3[/tex] is

x        y

-4       7

-2       2

0      -3

Plot these points and connect them by a straight line.

The table of values for [tex]x-y=-4[/tex] is

x          y

-4         0

-2         2

0         4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

Therefore, the solution of given system of equation is (-2,2).

A stack of 6 books weighs 4.8 pounds. If each book weighs the same amount, how much does each book weigh?

Answers

Answer:

Each book weights .8 pounds

Step-by-step explanation:

Take the total weight and divide by the number of books

4.8 /6

.8 lbs

Each book weights .8 pounds

The MTC Theater holds 250 people, and last night’s performance sold out!  Students paid $3.00 per ticket, while adults paid $5.00 per ticket.  Last night’s show brought in $1050.

Write a system of equations for the problem.

Answers

9514 1404 393

Answer:

s + a = 2503s + 5a = 1050

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

  s + a = 250 . . . . . . total of tickets sold

  3s +5a = 1050 . . . dollar value of tickets sold

_____

The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.

Given a polynomial f(x), if (x − 4) is a factor, what else must be true? f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0

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Question:

Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0

_______________________________________

Solution:

f(x) is a polynomial.

(x - 4) is a polynomial of f(x).

By converse of factor theorem: If (x - a) is a factor of f(x), then, f(a) = 0.

On comparing (x - 4) with (x - a), we get,

a = 4

So,

f(a) = 0

=> f(4) = 0

the length width and height of a box form an arithmetic sequence. if the surface area of the box is 365.04 square units and the box's smallest dimension is 3 units, what is the volumes of the box in cubic units?

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Answer:

the answer will be 365.04÷3

=121.68

apply the distributive property to factor out the greatest common factor

60m-40=

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Answer:

The greatest common factor is 20

Step-by-step explanation:

Rewrite 40 as 20*2

Rewrite 60 as 20*3

=20*3m-20*2

Factor out common term 20;

20(3m-2)

Answer:

I put in the answer on khan and got it correct.

Step-by-step explanation:

PLZZ HELP I HAVE A TEST 20 POINTS
3( -2)(+3)(+4)

Answers

Answer:

8

Step-by-step explanation:

add ur positives

3+3+4=10

now add ur negative

10+ (-2)

8

I think the answer is -72. I'm not very sure, but I solved the equation the way I understood it, and I got -72.

can someone help please 13 points and those are the only answer options for all 4

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Answer:

1 - x-axis, 2 - y-axis, 3 - y-axis, 4 - x-axis

Step-by-step explanation:

If x=7 and y=-3 xy/3 + 2

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Answer:

-5

Step-by-step explanation:

x = 7

y = -3

[tex]\frac{xy}{3} +2\\\\\frac{7(-3)}{3} +2\\\\\frac{-21}{3} +2\\\\-7+2\\-5[/tex]

Find the indicated side of the
triangle.

b = 7 [?]

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b is a diagonal of a square. Diagonal is just [tex]a\sqrt{2}[/tex] which means that b is equal to [tex]7\sqrt{2}[/tex].

Given that ∠S ≅ ∠A, and AB ≅ ST , what is the third congruence needed to prove that ΔABC ≅ ΔSTU by ASA?

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Answer:

angle-side-angle. that's my answer

Find the value of x.
9x-7
1 + 8x

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Step-by-step explanation:

Since this is not an equation, it is impossible to solve.

But I will try to do it in my own way.

Let's assume that the given expressions are equivalent to each other.

9x-7=1+8x

9x-8x=1+7

1x=8

X=8

does anyone know the answer to this?

Answers

Answer:

I think she has about 3 segments for sprinting and 6 segments for jogging

which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3

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Answer:

I think it is 6x+3=y (y=6x+3)


Determine the value of y, if x is 6.

y = x2 – 6

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Answer:

6

Step-by-step explanation:

[tex]y = 6(2) - 6 \\ = 12 - 6 \\ 6[/tex]

Therefore, when x is 6 y = 6

Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?

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5600 in three yoears

Answer pls im desperate (10 pts) (how many solutions does this have)

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Answer:

Step-by-step explanation:

Left side

4x + 2x - 10

6x - 10

Right side

6x - 12

Eventually when you equate these sides, you will get an absurd answer because the 6x term will be subtracted out on both sides

that means you get -10 = - 12

which destroys the whole concept of equality. There is no solution.

The Problem: Phillips Health and Beauty Spa is replacing one of its workstations. The interest on a loan secured by the spa was $93.50. The money was borrowed at 5.5% simple interest for 2 years. What was the amount that they borrowed?

Answers

Answer:

$850

Step-by-step explanation:

Amount that was borrowed = interest / (interest rate x time)

93.50 / (0.055 x 2) =

93.50 / 0.11 = $850

A train travels 5 miles in 12 minutes at this rate how far will go in two hours

Answers

Answer:

Well, 60 (minutes in an hour) divided by 12 (from the problem) is 5, so you have to multiply that 5 by the 5 from the problem to find that the train is going 25 (5*5) mph. Just double this for two hours, and you result in 50!

Step-by-step explanation:

write the equation fully simplified slope intercept form

Answers

it is y=-1/5 - 1 since it intercepts at -1 on the y line

Answer:

y = -1/5x - 1

Step-by-step explanation:

The line crosses the y axis at -1, making it the y-intercept.

Since the line is going downwards from left to right, we know that it is a negative slope.

The line goes down one and 5 right. That makes the slope -1/5.

The equation is y = -1/5x - 1

what the answer for the poles in feet.

Answers

Answer:

A)10 feet tall

Step-by-step explanation:

The man casts a shadow half his height and so does the telephone pole

Calculate the area of the shape below
3 1/2

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Answer:

option B by using formula of area of circle.

find AB and BC with the help of given in figure complete following activity ​

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Answer:

let base side be x=AB=BC

by using Pythagoras law

h²=p²+b²

(√8)²=x²+x²

8=2x²

x²=8/2

x=√4=2=AB=BC

Step-by-step explanation:

sin BAC=BC/AC

<BAC=sin-¹(2/√8)=45

what type of angels are shown​

Answers

Consecutive Interior

Answer:

? and 46 degrees are same side interior angles.

They are supplementary in that their sum is 180 degrees.

FYI:      ? = 180-46 = 136 degrees

A boogie board that normally sells for $69 is on sale at a 35% discount. what is the total cost of the boogie board? ​

Answers

Answer: 44.85

Step-by-step explanation:

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