Sami was asked to solve the following system of equations using substitution.
y=6x -4
y=2x

Here is the work that sami did:

2x = 6x -4
8x = -4
x = -0.5

And then to find y: y= 2 (-0.5) = -1

so Sami's answer for the point of intersection was (-0.5, -1).

Clearly state Sami's one error and then give the correct ordered pair for where the lines cross.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Sami's error is in the second line of working

2x = 6x - 4  ← correct substitution ( subtract 6x from both sides, Sami has added 6x )

- 4x = - 4 ← correct second line ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into the second equation

y = 2x = 2(1) = 2

solution is (1, 2 )


Related Questions

Can somebody plz help answer the number 10’s questions using the diagram from the bottom left side (only if u know how to do this) thx sm! :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD!

Answers

Answer:

10a: △ABC is an Equilateral triangle with all acute angles.

10b: △BCD is A scalene triangle with all acute angles.

10c: △BDE is An Isosceles triangle with one obtuse angle.

Step-by-step explanation:

10) Looking at the diagram at the bottom left;

- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.

Thus, we can classify it as; Equilateral triangle with all acute angles.

- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.

We can classify it as;

A scalene triangle with all acute angles

- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.

Thus, we can classify it as;

- An Isosceles triangle with one obtuse angle.

If you are using a calculator to find the measure of an angle in degrees, what type of measure might make you question whether your calculator is in radian mode? Explain.

Answers

Answer:

you would do this measure hope this helps

Step-by-step explanation:

Help pleaseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

5x + 4 ≤ 15

Step-by-step explanation:

Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15

$4 of jelly beans is a constant

$5 per pound is a variable : 5x

5x + 4 ≤ 15

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

p=9

Step-by-step explanation:

p = 9

isolate the variable by dividing each side by factors that don’t contain the variable

Find the circumference of a circle with a radius of 5 mm.
A 307 mm
B 57 mm
257 mm
107 mm

Answers

Answer:

31.42

Step-by-step explanation:

circumference of a circle= 2* [tex]\pi[/tex]* r

2* 22/7 * 5 = 31.42 (2 dp)

Please help. Will mark brainliest!!!



Five friends went to an amusement park. The cost of admission per person is x dollars. Three friends paid $30 each for a front-of-line pass. The group had a $20 coupon off the total price. Circle all of the expressions that represent the total cost.

5x + 30 – 20.


3(30) + 2x – 20.


5(x + 30) – 20.


5x + 70


2x + 70.


3(x + 30) + 2x – 20.


3(x + 30 – 20) + 2x.


5x + 10


3(x + 10) + 2x.


3x + 30 + 2x – 20.


3x + 90 + 2x – 20


5x + 30

Answers

Is this bedmas? If so the amusement park would be closed because of 320
I believe is only the first one. I hope it helps :)

The dot plot shows the number of pencils each boy has at his desk in class.
:
++
1 2 3 4 5 6
Number of Pencils at Desk
Find the median for the number of pencils.

Answers

Answer:

The median is 2

Step-by-step explanation:

Here, we want to get the median for the number of pencils

Firstly, we have to write out the numbers that form the box plot ; we have this as;

1,1,1,2,2,2,2,3,3,5

the median is sum of the 5th and 6th term divided by 2

The 5th term is 2

The 6th term is 2

So the median is;

(2 + 2)/2

= 4/2 = 2

Find the exact value of x.
Do the side lengths form a Pythagorean Triple?

Answers

Answer:

x=34

no

Step-by-step explanation:

a=16 b=30 c= x

16^2+30^2= c^2

256+900= c

c=√1156

√1156=34

2. Find the volume. *
10 16 8

Answers

Answer:

1280

Step-by-step explanation:

16 times 8(times 10)

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O 10
03

Answers

the distance between these two points is 3

Which equation represents a linear function?

Answers

Answer:

C

............................

12. Determine the missing angle measures.
M<1
M<3

Answers

Answer:

3 is 15 degrees and 1 is 67 degrees

Calculate the sum
32+(-40)

Answers

Hopes this helps:

Answer: A: -8

How I know I use this app called Cymath.

Divide 9 by 2 , then multiple p by the result

Answers

Answer:

9p/2 OR 4.5p

Step-by-step explanation:

9/2 ×p = 9p/2

9/2 =4.5×p

= 4.5p

the answer you are looking for is 4.5p

Can anyone help me pls? Ur a legend if u can!

At a middle school 82 students have freckles. There are 352 students at the school. To the nearest tenth of a percent what percent of students have freckles?

Answers

Answer:

23.3%

Step-by-step explanation:

divide

82/352

.2329

aka

23.29%

round

23.3%

What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.

Answers

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

Will put brainliest? Plsssssssss help!

Answers

Answer:

C i think

Step-by-step explanation:

Answer:

14,13 ft^2

Step-by-step explanation:

First of all we have to find the radius, that is diameter/2

In this case: 6/2 = 3ft

the area of a circle is:

radius^2 x π

in this case = 3^2 x 3,14 = 28,26 ft^2

The shape is a semicircle so we have to divided the area by two

28,26 : 2 = 14,13 ft^2

i need help please !!

Answers

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

A board game has a spinner with four different options of how a player can move: move forward 1 space, move forward 2 spaces, move
backward 1 space, or lose a turn. The probabilities of spinning each option are shown below. A. What is the probability of a player moving forward on his or her turn?
B. What is the probability of a player either moving backwards or losing a turn.

Answers

The answers are:

A. 7/12

B. 5/12

Which function below has the following domain and range?

Domain: {-9,-5,2,6,10}
Range: {-2,0,8}

A: {(-2,-5),(8,10),(0,6),(-2,-9),(0,2)}
B: {(-9,-2),(-5,0),(2,8),(6,5),(10,9)}
C: {(-9,10),(-2,8)}
D: {(2,0),(-5,-2),(10,8),(6,0),(-9,-2)}

Answers

Answer:

D is the right answer because it has all the elements of domain and range

Help I don’t know the steps

Answers

Answer:

down below

Step-by-step explanation:

straight lines are 180 degrees and you have 2 angles on a line. one of which is 72 and the other is unknown. It is solved for below.

[tex]180=72+x\\180-72=72+x-72\\108=x[/tex]

your missing degree is 108.

i may not be right, if i'm not i am very sorry.

The temperature at 6:00 P.M. in Frostfrozen, Antarctica was "37 °C.
If the temperature dropped 8.1 °during the next hour, what
was the temperature at 7:00 P.M.?

Answers

Answer:

37.0                         Your answer is 28.9 Celsius  

- 8.1

---------

 28.9

Step-by-step explanation:

Fahrenheit:

90.5 Fahrenheit

Celsius:

23.7

Hi! Please explain how you got your answer thanks! :)) ​

Answers

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780

Solve. Show all of your work.
1. A construction worker was preparing wood for a project.
He had 1/4 of a meter of wood that he needed to cut
into equal size pieces. If he cut the wood into 6 pieces,
how long will each piece be?

Answers

Answer:

4.17 cm

Step-by-step explanation:

I took 1m=100cm

Then divided the cm by 4 to get the 1/4 of a meter which is 25

25/6 is 4.16repeating so I rounded it up to 4.17.

If your teacher wants it in a fraction I would state it as 25/6 cm

GE = 3x - 11 FD = 2.x Find GE
Can someone help me??​

Answers

Answer:

22

Step-by-step explanation:

Given the following

GE = 3x - 11 FD = 2x

Let us assume GE is parallel to FD, hence GE = FD

3x - 11 = 2x

3x - 2x = 0+11

x = 11

Get GE

GE = 3x - 11

GE = 3(11)-11

GE= 33 - 11

GE = 22

Hence the length of GE is 22

What is the relationship between the side lengths of the white square and the side lengths of the triangles?
es -)
A)
Each side of the white square is congruent to shorter leg of a triangle.
B)
Each side of the white square is congruent to the longer leg of a triangle.
Each side of the white square is the hypotenuse of a triangle.
D)
Each side of the white square is congruent to both legs of the triangles.

Answers

Answer:

C) Each side of the white square is the hypotenuse of a triangle.

Step-by-step explanation:

It can be observed in the diagram that the sides of the white square forms part of the sides of the triangles. Since the triangles formed are right angled, then the longest side of the triangle is the sides of the white square.

Therefore it can be inferred that, each side of the white square is the hypotenuse of a triangle. thus the correct choice of answer is C.

A student wrote the expression -3(8 - 10) as - 24 + 30. Which property did the student use?​

Answers

They used the distributive property.-3(8 - 10)-3 x 8 = -24-3 x -10 = 30-24 + 30Please let me know if I am wrong.

PLZZZ HELP!!! ILL GIVE BRAILIEST TO WHOEVER ANSWERS FIRST CORRECTLY!!

An amusement park charges $4.25 for admission, plus $1.50 for each ride ticket. Chase has $30 to spend on admission and ride tickets. What is the greatest number of ride tickets Chase can buy?

Answers

Answer:

17 tickets

Step-by-step explanation:

Please help me quick

Answers

Answer:

c

Step-by-step explanation:

can i get brainlist because brainly deleted all my answers for no reason

The function f(x)=5x5−3x3+1 is/has

Answers

Answer:

15

Step-by-step explanation:

PEMDAS

so do multiplication first

25-9+1

then do addition

25-10

then do subtraction

so

15

Other Questions
What is the unit rate from 1 1/4 cups of milk in 15 brownies please help :(. Which is true about scientific theories? The exponential function), whose graph is given below, can be written as h(x) = ab^x. Complete the equation for h(x). The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.a. What percent of the buildings are no taller than 345 meters?About ____ percent of the buildings are no taller than 345 meters. HElp And thaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaanks select the answer that correctly completes the sentence. the audience sang along with their favorite songs. A) Throughout the, musical performance, B) Throughout the, musical performance, C) Throughout, the musical performance D) Throughout, the musical performance, Look at the question below During replication, which sequence of nucleotides would bond with the DNA sequence TATGAC? Which sport has the smallest median height? 12345 :- 987 me pueden ayudar con esta division There are 240 calories in 5 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream? Do first evidence then claim then reasoning 1. What "dangerous myth did Germany's soldiers begin to believe at the end of WWI? Warren commission's conclusion about JFK's assassination (in your own words) Some rational numbers are negative? True or false. By the way:Give a reason why it is true or false One method for straightening wire before coiling it to make a spring is called "roller straightening." The article "The Effect of Roller and Spinner Wire Straightening on Coiling Performance and Wire Properties" (Springs, 1987: 2728) reports on the tensile properties of wire. Suppose a sample of 16 wires is selected and each is tested to determine tensile strength (N/mm2 ). The resulting sample mean and standard deviation are 2160 and 30, respectively. a. The mean tensile strength for springs made using spinner straightening is 2150 N/mm2 . What hypotheses should be tested to determine whether the mean tensile strength for the roller method exceeds 2150? b. Assuming that the tensile strength distribution is approximately normal, what test statistic would you use to test the hypotheses in part (a)? c. What is the value of the test statistic for this data? d. What is the P-value for the value of the test statistic computed in part (c)? e. For a level .05 test, what conclusion would you reach? What was the ultimate failure of the war on drugs and the three strikes laws? A. The prison population increased four-fold. B. Drugs became cheaper and more plentiful. C. The law enforcement casualties became unacceptable. D. Courts were unable to keep up with the number of cases. Help me i need help pls Why did Soviet ships turn back on their way to Cuba?US ships had formed a naval quarantine around Cuba.The Soviet Union had sworn not to interfere in Cuba.Fidel Castro had proclaimed that the ships could not dock in Cuba.The United Nations had issued a medical quarantine of Cuba. How can radioisotopes help in promoting clean technology in the mitigation of the effect of climate change? What are the challenges in the application of this technology?