Which point below is a solution to the equation y = 2x + 3?
A (145, 291)
B (78, 163)
C (37, 77)

Answers

Answer 1

Answer:

C (37, 77)

Step-by-step explanation:

Option A:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

Option B:

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

Option C:

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer 2

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation


Related Questions

La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.

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Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.

Plz help fast answer

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Patriotic
Coastal
Graphic
Heroic
Dramatic
Angelic
Betrayal
Bacterial

Answer:

1: Patriotic

2: Global

3: Graphic

4:heroic

5: betrayel

6:angelic

7: dramatic

8: bacterial

Step-by-step explanation:

I think this is it

Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-2 ,1) ; M= 5

Answers

Answer:

y-1=5(x+2)

Step-by-step explanation:

Point-slope form is y-y₁=m(x-x₁)

1 is y₁ so we would fill the first half as "y-1"

We know that m=5, so we can just put it in where m goes.

So far, we are at y-1=5

-2 is x₁ but since it's a negative, and we are also using subtraction, we must cancel it and turn it into a positive. So, we would write (x+2)

The final equation is y-1=5(x+2)

Which of the following equations is equivalent to 4x -y=3`?

Answers

Answer:

x-intercept = (3/4,0)

y'intercept = (0,-3)

Step-by-step explanation:

Not sure what conversion you need but here are the intercepts

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .

Answers

Answer:

1. ac = 36

2. b = 13

3. 4 and 9

Step-by-step explanation:

Given

6x² + 13x + 6

Required

Fill in the gaps

Solving (1): The value of AC

The general form of an equation is:

ax² + bx + c

By comparison:

a = 6

b = 13

c = 6

So,

ac = a * c

ac = 6 * 6

ac = 36

Solving (2): The value of b

In (1) above, we showed that

b = 13

Solving (3): Two numbers that satisfy product ac and sum b

We have that.

ac = 36

If one of the numbers is 4, then the other number is

Other number = 36/4

Other number = 9

Alternatively, we have that.

b = 13

If one of the numbers is 4, then the other number would be:

Other number = 13 - 4

Other number = 9

Answer:

ac = 36

b = 13

The two numbers that have a product of ac and a sum of b are 4 and 9

Step-by-step explanation:

the sheep died yesterday why

Answers

Answer:

it just died because of natural causes haha

Step-by-step explanation:

Answer:

uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;

Step-by-step explanation:

mr brown and his 2 children are going to london by train
an adult ticket costs £24.
an child ticket costs £12

mr brown has a family railcard

family railcard gives : 1/3 off adult tickets

60 percent off child ticket


work out the total cost of the tickets when mr brown uses his family railcard

Answers

Answer:

The total cost will be equal to 25.6£

Step-by-step explanation:

In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....

Let "a" be the cost of the adult ticket after using the railcard

Let "b" be the cost of the children ticket after using the railcard.

a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£

b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£

Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....

Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£

Which equations and/or functions represent the graphed line? Select three options.


f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)

Answers

Answer:

The second one, the fourth one, and the fifth one.

f(x)=(1/2)x+2

y-3=1/2(x-2)

y-1=1/2(x+2)

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

y - 1 = (1/2)(x + 2)

y - 3 = (1/2)(x - 2)

To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.

The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:

f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.

f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.

f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.

y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.

y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

y - 1 = (1/2)(x + 2)

y - 3 = (1/2)(x - 2)

To know more about equations:

https://brainly.com/question/10724260


#SPJ2

-4(a-12) help me because I am really confused

Answers

Answer:

-4a+48

Step-by-step explanation:

Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.

-4*a + (-4*(-12))

= -4a+(48)

= -4a+48

Hope this helps!

Answer:

-4a+48

Step-by-step explanation:

Multiply -4 to a and -12

-4a+48

Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.

Answers

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.

Answers

353.25

a=(3.14*15^2)/2

a=706.5/2

a=353 sq in

31q=7.037 what is the value of q??

Answers

Answer:

0.227

Step-by-step explanation:

q=7.037/31

q=0.227

Wich of the following appear in the diagram below NEED ANSWER QUICK​

Answers

The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation. She needs $300 dollars. Express this amount as an integer. Is this represented by a negative number or a positive number?

Answers

Answer:

Positive number

Step-by-step explanation:

Given that:

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.

Let x be the amount of her savings and she needs $300

SO;

x  + 300 = 0

As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.

what percent of students have played an instrument for 3 years ?
(round tenths)

please help

Answers

Answer:

%22.2

Step-by-step explanation:

I need help I’m timed
what is the y- intercept of the linear function?
y= 1/2 x + 4

Answers

Answer: (0,4)

Step-by-step explanation:

John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?

Answers

Answer:72

Step-by-step explanation:

I need the value of X

Answers

Answer:

31

Step-by-step explanation:

x+24+4x+1=180

5x+25=180

5x=155

x=155/5=31

7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution

Answers

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

I’ll give BRAINLIEST just pls help :(

Answers

Answer:

September

December

May and December

Step-by-step explanation:

I am not sure about the last one

Someone please help me with this!

Answers

Answer would be letter (b)

what is 3/4 divided by 1/2​

Answers

3/4 divided by 1/2 is 1.5 or 6/4.

2x/3 < 10
Solve the inequality

Answers

Answer:

x < 15

Step-by-step explanation:

we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.

2x < 10 x 3

2x < 30

we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30

x < 30 ÷ 2

x < 15

Answer:

x=15 or false

Step-by-step explanation:

In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.

standard form for y=mx+b​

Answers

Answer:

that's standard form for slope

Step-by-step explanation:

have a nice day :)

use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.

Answers

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

how do we find the place value of 3a + b given that a=4, b=3, and c=-2

Answers

Answer:

3a+b

3(4)+3

12+3

15

Step-by-step explanation:

You substitute the variables with the given numbers. I think this is correct.

Please help me ! Please!

Answers

It’s 19 so the answer would be B

Answer:

B) 19

Step-by-step explanation:

The first step is to substitute 2 for x into the equation. f(2) = 2(3^2)+1

The second step is to square 3 which equals 9. f(2) = 2(9)+1

The third step is to multiply 2 by 9 which equals 18. f(2) = 18+1

The fourth step is to add 18+1 which equals 19. f(2) = 19

A train traveling at 37 M.P.H. had its speed increased by 22 ft. per sec.
If 88 ft./sec. = 60 M.P.H., then the train is now traveling at M.P.H.

Answers

Answer:

52 mph

Step-by-step explanation:

If 88 ft/sec = 60 mph

The 22 ft/ sec is 60/4 = 15 mph

This is so because 88/22 is 4

So we simply proceed to add this to the previous speed in mph

That gives a total of 15 + 37 = 52 mph

What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions

Answers

Answer:

one solution

Step-by-step explanation:

Given the equations

1/4x + 1 1/2y =5/8 ..... 1

3/4x - 1 1/2y =3 3/8 ..... 2

Get the value of x

Add both equations

1/4x + 3/4x = 5/8+3 3/8

4x/4 = 5/8+27/8

x = 32/8

x= 4

Substitute x = 4 into equation 1

From 1;

1/4x + 1 1/2y =5/8 .

1/4(4) + 3/2 y = 5/8

1 + 3/2 y = 5/8

3/2 y = 5/8 - 1

3/2 y = -3/8

Cross multiply

24y = -6

y = -6/24

y = -1/4

Hence the solution {x,y) is (4, -1/4)

The system has only one solution

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets

Answers

Answer:

100 tickets

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

Answer:

100 tickets

Step-by-step explanation:

Hi and goodbye

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