Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a y-intercept of −2. What was the other equation?

Answers

Answer 1

Answer:

We have a system of equations with no solutions.

One of the equations is:

x + y = 5.

Isolating y in one side of the equation, we get:

y = 5 - x

And the other equation has an y-intercept of -2, the equation can be written as:

y = a*x - 2.

Then the system will be:

y = -1*x + 5

y = a*x - 2

The solution of a system of equations is a point where the graphs of both functions intersect.

Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.

And two lines are parallel if they have the same slope.

Then the other equation will be:

y = -x - 2


Related Questions

1 1/2 divided by 2 2/5​

Answers

Answer:

5/8

Step-by-step explanation:

-X² + 5x - 6 = 2
Using the quadratic formula

Answers

[tex]-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\[/tex]

↝ Form into [tex]ax^2+bx+c = 0[/tex] where a > 0 (Optional)

[tex]x^2-5x+8=0[/tex] ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\[/tex]

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

Solution with Real Numbers  System ↝  There are no real solutions.

Solution with Complex Number System

[tex]x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}[/tex]

Therefore, the answer for Complex Number System is (5±√7i)/2

A _______________ is a classification tool that reveals the various possibilities in the comparison of variables for a chi-square.

Answers

Answer:

A contingency table

Step-by-step explanation:

Hypothesis tests carried out on contingency tables are based on the chi-square, a statistic.

The contingency table is a Frequency tables of two variables presented at the same time. These tables are constructed when we represent all the levels of a variable as rows in a table and represent the other variables as columns, after which we find the joint or cell frequency for every of the cell.

How many meters Penelope jogs in 3 laps

Answers

Penelope jogs 966 meters in 3 laps

HELLPPPPPPPPPPPPPPP PLEASEEEEEEE

Answers

Answer:

Hopefully this makes sense, but x=+1 and y=-4

Step-by-step explanation:

Lets start with Y. how do you go from 7 to 3? you subtract 4. then, how do you go from 3 to -1? Well... lets subtract till we get to -1. That would be -4. Can you do that for the rest? if so, your answer is -4 for y. for x it just adds a number each time.

Find the value of x. Then, find the measure of each labelled angle.

x=_
(7x+10)°=_
(15x+16)°=_​

Answers

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Which expression is equivalent to 1/4 n − 16? (4 points)

Question 2 options:

1)

1/4 (n − 4)


2)

1/4 (n − 64)


3)

4(n − 4)


4)

4(n − 64)

Answers

Answer:

2) B) 1/4(n-64)

Step-by-step explanation:

How far, in meters, will a car travel in 20 seconds at an average speed of 20 m/s?

Answers

Answer:

400 seconds

Step-by-step explanation:

To find the distance, you have to multiply. Since each second=20 meters, you have to multiply 20 x 20 because there are 20 seconds.

Which expression is equivalent to -3(4c-2) -2c

A. -8c

B. 8a -34
C. -26a
D. 8a + 7

Answers

Answer:

-3(4c-2) -2c = -14c+6

Step-by-step explanation:

We need to find the equivalent expression for -3(4c-2) -2c.

First we open the brackets as follows :

-3(4c-2) -2c

= -12c+6-2c

=-12c-2c+6

=-14c+6

So, the equivalent expression is -14c+6.

What is the sum of 2.61 and 58.107?​

Answers

Answer:

60.717 , because 2.61 + 58.107 = 60.717

Step-by-step explanation:

Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth

Answers

Answer:The distance from a point to a line is

distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)

So first convert the formula for the line to standard form

5x+2y=4

5x+2y-4=0

a=5, b=2, c=-4, x0=15, y0=-21

Step-by-step explanation:

6-3-4x+1=
No solutions

Answers

Answer:

Yes, it's correct. Is that what you were asking for, or is there a part of the question that is missing?

Step-by-step explanation:

Answer:

x = -1  hope this is what you need :)

Step-by-step explanation:

Nico paid $15.32 for 4.3 pounds of blueberries. Nico estimated the cost per pound to be $5.00. Which statement explains Nico’s error? WILL GIVE BRAINLEST DIDN"T SPELL RIGHT BUT ASAP. ONLY 10 MINS SO PLEASE HURRY.


1. Nico rounded $15.32 to $15.00 and 4.3 pounds to 6 before dividing.

2.Nico rounded $15.32 to $15.00 and 4.3 pounds to 3 before dividing.

3. Nico rounded $15.82 to $16.00 and 4.3 pounds to 4 before dividing.

4. Nico rounded $15.32 to $10.00 and 4.2 pounds to 2 before dividing.

Answers

Answer:

Nico rounded 15.32 to 15.00 and 4.3 pounds to 3 before dividing

This has to be it for it to equal 5.00

Step-by-step explanation:

Hopefully I helped answer your question

Brainliest plz

A line passes through the points (–3, –4) and (6, 2)


What is the x-intercept of this line?
please help ahhh

Answers

9514 1404 393

Answer:

  (3, 0)

Step-by-step explanation:

The line through these points intersects the x-axis at x=3.

The x-intercept is (3, 0).

_____

The x-intercept can be computed from ...

  x-intercept = x1 -y1(x2 -x1)/(y2 -y1)

  = -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6

  x-intercept = 3

__

Here, it is simple enough to plot the points and see where the line crosses the x-axis.

explination with the answer please? First to answer gets brainliest

Answers

Answer:

-5/4

Step-by-step explanation:

The slop is rise over run

which means we need to find the rise over run of this equation:

So the question is how many times do you need to go up/down to get to the next plot on the graph? (Reminder up is positive while down is negative)

So, you go down 5 times which means the top of the slope is -5

Now, how many times do we need to run to get the next plot?

You need to run 4 times to the right to get the next point now we have all the things to solve the problem:

Slope=rise/run

Answer: -5/4

Hope this helps!

Sam rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 73 cents for each mile driven. Sam
had to pay $172.44 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:  134 miles

Step-by-step explanation:  

f(m) = 16.95 + 0.92m

140.23 = 16.95 + 0.92m

0.92m = 140.23 - 16.95

0.92m = 123.28

m = 123.28/0.92

m = 134 miles

Select the correct answer from each drop-down menu.
Consider the function below Select the correct answer.
Which function is decreasing and approaches negative infinity as x increases?
A.
f(x) = 3(6)x − 2
B.
f(x) = -3(6)x + 2
C.
f(x) = -3(0.6)x + 1
D.
f(x) = 3(0.6)x − 1

Answers

Answer:

The answer is C.

Have A Nice Day

What is the slope of the line that passes through the points (2, -3) and (2, 13)
Write your answer in simplest form.

Answers

Answer:

The answer is undefined

Step-by-step explanation:

The slope of the line that passes through points (2, -3) and (2, 13) is not defined.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through points (2, -3) and (2, 13)

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug the values to find the slope of the line:

m = (13 + 3)/(2-2) = 16/0 = not defined

Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Ajar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. If n represents the number of nickels and d
represents the number of dimes, which of the following systems of equations can be used to represent this situation.
O A n+d=4.45
0.05n+0. 10d=60
OB. n+d=60
5n+100=4.45
OC. ned=60
0.05n+0.10d=4.45
O D. 0.05n+0.10d=60
0.05n+0.10d=4.45

Answers

Answer: A. N+D=4.45

Step-by-step explanation: We don't know how many nickels or dimes in the jar, so to represent the unknown, we put a variable, N for the nickels, and D for dimes.

I hope this helps!!!

I need help with this question

Answers

Answer:

61

Step-by-step explanation:

It's obvious

The answer is C. 119.
Hope this helps!!!

I need help please!!!

Answers

Answer:

10. 2

Step-by-step explanation:

Answer:  For 9, the answer would be a total of 96 trophies.  Just add all the trophies together.  For 10, the average may be 16.  I just divided the total number of trophies by 6, the total number of data inputs.  Sorry if i am incorrect with any of these answers, good luck.  

6th grade math I mark as brainliest

Answers

Answer:

False

Step-by-step explanation:

2*2*2*2 is the correct answer

Answer:

False

Step-by-step explanation:

[tex]2^4=2\cdot 4\\\\Simplify\:\:2^4 =16\\Simplify\:\:2\cdot 4 = 8\\\\16=8\\\\\mathrm{The\:sides\:are\:not\:equal}\\\\\mathrm{False}[/tex]

PLEASE HELP!!!!
Find the value for y so that PQ is perpendicular to RS
P(6.–2). Q(-2,8). R(-1.3), S(-9.y)
-1
0
1
2.

Answers

Answer:

A. -1

Step-by-sep explanation:

If PQ is perpendicular to RS, therefore, the slope of RS would be the negative reciprocal of PQ.

Slope of PQ:

P(6,-2), Q(-2, 8)

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 -(-2)}{-2 - 6} = \frac{10}{-8} = -\frac{5}{4} [/tex]

Slope of RS:

Slope of RS is the reciprocal of the slope of PQ, since they are perpendicular.

⅘ is the reciprocal of -⁵/4. Therefore, the slope of RS = ⅘.

Use the slope formula to find the value of y in R(-4, 3), S(-9, y).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Plug in the value

[tex] \frac{4}{5} = \frac{y - 3}{-9 -(-4)} [/tex]

[tex] \frac{4}{5} = \frac{y - 3}{-5} [/tex]

Cross multiply

[tex] (4)(-5) = (y - 3)(5) [/tex]

[tex] -20 = 5y - 15 [/tex]

Add 15 to both sides

[tex] -20 + 15 = 5y - 15 + 15 [/tex]

[tex] -5 = 5y [/tex]

Divide both sides by 5

[tex] \frac{-5}{5} = \frac{5y}{5} [/tex]

[tex] -1 = y [/tex]

y = -1

Write 15 2/3 as an improper fraction

Answers

47/3 is the correct answer:)
47/3

You do 15 x 3 + 2

Robert is working two summer jobs, making $10 per hour babysitting and making
$25 per hour tutoring. In a given week, he can work no more than 10 total hours and
must earn a minimum of $130. If Robert worked 4 hours tutoring, determine the
minimum number of whole hours babysitting that he must work to meet his
requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

3 hours

Step-by-step explanation:

The equation will be

10b+25t ≤ 130 (b = hours of babysitting, t = hours of tutoring)

Plug in the 4 hours of tutoring

10b+(25 times 4) ≤ 130

= 10b+100 ≤ 130

10 times 3 = 30, which answers the question

Since 100 + 30 = 130

Therefore, the answer to the minimum amount of hours Robert has to tutor

to make a minimum of $130 is . . .

3

Enter the approximate value of 2129 to the nearest tenth.

Answers

Answer:

10.8

Step-by-step explanation: The answer is 10.77032961 the nearest tenth would be the first seven and the second seven is above 5 so you would round up

Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?

Answers

4 dogs because of 16 legs?

Answer:

There are 2 dogs

Explaination:

If there are 28 eyes in total,

Dogs- 4 eyes

Chickens- 8 eyes

Fishes - 16 eyes

In total they have 28 eyes

if there are 16 legs,

Dogs- 8 legs

Chickens- 8 legs

Fishes- 0 legs

So,

2 Dogs

4 Chickens

8 Fishes

( the problem even said that there are twice as many fish as chickens)

VERY HARD MATH QUESTION PLEASE HELP PLEASE SOMEONE ASAP HELP ME PLEASE DUDE PLEASEE (I linked the question as an attachment)

Answers

Answer:c and then d

Step-by-step explanation

Answer: Question 1: A) 1 and 6

              Question 2: C)110 Degrees

Corresponding angles are angles that have the same degree.

Please mark brainliest if this helped :)

8-4 1/2??????????????????????????????????

Answers

Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{2} = \frac{9}{2}[/tex]  [tex]\frac{8}{1} = \frac{16}{2}[/tex]  [tex]\frac{16}{2} - \frac{9}{2} = \frac{7}{2}[/tex]  

I hope this helps!

Find A and B if the graph of Ax + By = 12 passes through (2, 1) and is parallel to the graph of 2x − 7y = 3.

HELLPPPPPP

Answers

Answer:

A=-2 and B=7

Equation is -2x+7y=3

Step-by-step explanation:

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