For which independent value do the equations generate the same dependent value?

y 1= 6x - 16
y2 = 3x - 10

A: 2
B: 3
C: -2
D: None

Please select the best answer from the choices provided.​

Answers

Answer 1

Answer:

For the independent value of 2, the equations generate the same dependent value ⇒ A

Step-by-step explanation:

In the linear equation y = m x + b

x is the independent variabley is the dependent variable

y1 = 6x - 16

y2 = 3x - 10

∵ x is the independent value

∵ y is the dependent value

∵ The two equations have same dependent value

→ Same dependent value means equate y1 and y2

y1 = y2

→ Equate their right sides

6x - 16 = 3x - 10

→ Subtract 3x from both sides

∵ 6x - 3x - 16 = 3x - 3x - 10

3x - 16 = -10

→ Add 16 to both sides

∵ 3x - 16 + 16 = -10 + 16

3x = 6

→ Divide both sides by 3

x = 2

For the independent value of 2 the equations generate the same

   dependent value


Related Questions

The price of a television is marked down for a weekend sale. After the sale is over, the price of the television is back to its original price. Are the percent of decrease and the percent of increase the same? Explain your thinking​

Answers

9514 1404 393

Answer:

  No. The bases for computing percentages are different.

Step-by-step explanation:

Suppose the original price is $100 and it is marked down 20%. Then the amount of markdown is 0.20×$100 = $20. The marked-down price is then $100 -20 = $80.

After the sale, the price increase of $20 is computed using the base price of $80:

  increase % = $20/$80 × 100% = 25%

The percentage decrease and increase are different because they are computed using different numbers as the reference.

__

Additional comment

The closer to zero the percentages are, the closer they are to being the same. A 1% markdown will equate to a 1.010101...% markup, for example.

Evaluate the function f(x) = {1 - 3x} for f (-2).

A: 5
B: 7
C: 6
D: 4​

Answers

Answer:

f(-2)=(1-3×-2)

f(-2)=1+6

f(-2)=7 ans

Plz plz plz plz help me out

Answers

Answer: 60

Step-by-step explanation:

you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.

Answer:

60 passengers.

Step-by-step explanation:

From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.

Help on this one please

Answers

Hope this might help

Stephen Curry makes 43.5% of his 3 point shots. In a typical season, Curry takes around 700 3 point shots. Assume Curry takes 700 3 point shots in the 2020 season, and those shots are independent and can be modeled using the binomial theorem. (Hint: Don't forget the continuity correction!)
a. Find the probability that Curry makes less than 300 3 point shots.
b. Find the probability that Curry makes more than 350 3 point shots.

Answers

Answer:

a. Find the probability that Curry makes less than 300 3 point shots.

17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
the radius of the base of the cone

Answers

Answer:

[tex]r = 3.74cm[/tex]

Step-by-step explanation:

Given

Hemisphere

[tex]Radius = 7cm[/tex]

Cone

[tex]Height = 49m[/tex]

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

[tex]V_1 = \frac{2}{3}\pi r^3[/tex]

Substitute 7 for r

[tex]V_1 = \frac{2}{3}\pi * 7^3[/tex]

[tex]V_1 = \frac{2}{3}\pi * 343[/tex]

[tex]V_1 = \frac{686}{3}\pi[/tex]

Volume (V2) of a cone is:

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Because the lead is cast into a cone, then they have the same volume.

So, we have:

[tex]\frac{686}{3}\pi = \frac{1}{3}\pi r^2h[/tex]

[tex]686 = r^2h[/tex]

Substitute 49 for h

[tex]686 = r^2 * 49[/tex]

Divide both sides by 49

[tex]r^2 = \frac{686}{49}[/tex]

[tex]r^2 = 14[/tex]

[tex]r = \sqrt{14[/tex]

[tex]r = 3.74cm[/tex]

Hence, the radius of the cone is 3.74cm

PLEASE HELP I NEED THIS ASAP!!!!!

Answers

Answer:

last one

Step-by-step explanation:

ik dis promise I think

plz have me as brainiest

20.3 = -2.9c
c=?
I am really in a hurry. If you know how to finish it, please tell me how to do it. Thank you.

Answers

C would equal the number 7

was it warmer at 3:00 p.m. or 9:00 p.m.​

Answers

Answer:

3:00pm

Step-by-step explanation:

Cause the sun is out

3 p.m.

This is the answer

Given the drawing as shown below and that p || q, which of the following cannot be supported by the evidence shown?

A - B - C - D -

Answers

Answer:

D

Step-by-step explanation:

The angle of B is not near angle D at all. They're supplementary, not the same.

Scott bought 6 shirts that each cost the same amount. Before sales tax was added, his total bill was $80.94. How much did each shirt cost

Answers

Answer:$13.49

Step-by-step explanation:

$80.94 / 6 = $13.49

The answer is thirteen dollars and forty nine cents. $13.49

Solve for Y

ABC = DEF

Answers

Answer:

12

Step-by-step explanation:

△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!

This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.

First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).

Now, we just solve it!

[tex]60=5y[/tex]

y=12

In a random survey of 50 students at Great Middle school,32 said chocolate was their favorite flavor of yogurt.The school has 450 students.How many of them are likely to select chocolate as their favorite flavor?

Answers

Answer:

288 I think

Step-by-step explanation:

450 divided by 50 is 9

9 times 32 is 288

I might be wrong

just in case

sorry!

The polynomial equation x3 - 4x²+2x+10 - 42 -5x-3 has complex roots 3 + 21. What is the other root? Use a graphing
calculator and a system of equations.
O-3
O-1
O 3
O 10

Answers

9514 1404 393

Answer:

  B.  -1

Step-by-step explanation:

The graphing calculator shows the left-side function intersects the right-side function at x = -1.

given that log 8=0.931,log9=0.9542.fimd the value of log60​

Answers

9514 1404 393

Answer:

  log(60) = 1.7781

Step-by-step explanation:

60 = 3·2·10 = (√9)(∛8)(10)

log(60) = (1/2)log(9) +(1/3)log(8) +1 = 0.9542/2 +0.9031/3 +1

log(60) ≈ 1.7781 . . . . accurate in all digits shown

_____

It appears that the problem statement has a missing digit in the log of 8. It is actually about 0.9031, so that is the value we used above.

When voting for Homecoming Queen, 3 out of 5 students voted for Nancy. If there are 270 students who voted, how many of them voted for Nancy?

Answers

Answer:

162

Step-by-step explanation:

If 3 out of 5 students voted for Nancy, then 3/5ths of the voters voted for Nancy. If we multiply 270×3/5, we get 162. Hope this answer helps.

The price of apples at a farm is $3.85 per pound. Which equation can be used to determine c, the total price of n pounds of apples? (5 points)

a
\large c=\frac{3.85}{n}

b
c = 3.85n

c
c = 3.85 + n

d
c = 3.85 − n

Answers

Answer:

 

c = 3.85n

Step-by-step explanation:

I GOT IT RIGHT ON THE TEST ON GOD NO CAP RANGE ROVER SPORTS TRUCK

50 POINTS PLEASE HELP


What is the equation of this line?
y= -1/2x
y=2x
y=2
y= 1/2x

Answers

Answer:

y=2x

Step-by-step explanation:

Take 2 points

(0,0)(1,2)

Slope:-

m=2/1=2

Equation in point slope form

y=2x

In your own words, explain what treating your credit card like cash means.

Answers

Answer:

It means that you need to not use a lot of money on your credit card. When you have cash, you can only use the money that you have while on a credit card, you don't really have a limit to your use of money.

:)

Step-by-step explanation:

Treating your credit card like cash means always spending the money from a credit card carefully, as we do in cash. Because spending exceeding money can cause you in debt.

What are credit cards and cash?

A credit card is a card that is used to spend money that is paid afterward. These cards are issued by banks so that we can spend money when we want to.

It suggests you shouldn't put a lot of money on your credit card. When you have cash, you can only spend what you have, whereas, with a credit card, you have no restrictions on how much money you can spend.

Therefore, treating your credit card like currency entails always spending money from a credit card with caution, just as we do with cash. Because spending too much money can lead to debt.

To learn more about credit cards, refer to the link:

https://brainly.com/question/29107455

#SPJ2

I need help on some math questions be ready.
Here’s 1 and 2.

Answers

The first question is a. and the second question is b.

1. A) Y=3x+7

2. B) y=5 x

9x+16y=72 slope intercept form

Answers

Slope= is or should be -1.125/2.000=-0.562 in then the x intercept should be = 72/9=8 and the y intercept should be = 72/16= 9/2 which equals to about 4.50000 and if u short that = 4.5) If I’m wrong plz let me know

A supply company manufactures copy machines. The unit cost of C (the cost in dollars to make each copy machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.4x^2-232x+38,207. How many machines must be made to minimize the unit cost? Do not round your answer.

Answers

Answer:

The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C (x) = 0.8x ^ 2 - 256x +25,939 .

Step-by-step explanation:

Ethan plots points showing equivalent ratios on the coordinate plane below. 40 30 20 10 He makes this table to show the equivalent ratios. 2. 4 2 у 10 20 35 40​

Answers

Answer:

The answer would be 6

Step-by-step explanation:

i am taking the test and got 6 as the correct answer.

Answer:

6

Step-by-step explanation:

Could Someone help me, thank you so much!

Answers

Answer: Answer choice A

Step-by-step explanation:

Because 2 has 20 copies 4 has 40 so we can only assume that 6 will follow the pattern and be 60.

Hope it helps!

Answer:

approximately 60 pages

Step-by-step explanation:

because based on the scatter plot it's slowly going up each chapter it would make no sense for it to be 10 that's too little 170 and 100 are definitely to far away, therefore 60 is the best option

Hope this helps dude

F(2)=?
Find it please

Answers

Answer:

- 2

Step-by-step explanation:

f(2) = - 2

find the quotient 6 2/7 ÷ 2 3/4​

Answers

Answer:

Find the quotient.

6 2/7 divided by 2 3/4.

2 2/7. (MY ANSWER)

17 2/7.

2 6/11.

7/16.

Step-by-step explanation:

I hope this helps you!!

The value of the equation is A = 2 2/7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be P = 6 2/7

The value of P = 44/7

Let the second number be Q = 2 3/4

The value of Q = 11/4

A = ( 6 2/7 ) / ( 2 3/4 )

On simplifying the equation , we get

A = ( 44/7 ) / 11/4

A = ( 44/7 ) x ( 4/11 )

A = 16/7

Therefore , the value of A is 2 2/7

Hence , the equation is A = 2 2/7

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

) During the first year Sherry worked as a lifeguard, she was paid at a rate of $12.75 per hour. At the beginning of her second year, she received a 5 percent raise. Which of the following strategies gives the amount of Sherry’s raise?
A) Divide $12.75 by 5 to find the number of cents in Sherry’s raise.
B) Divide $12.75 by 2 to find the number of cents in Sherry’s raise.
C) Divide by 10 by moving the decimal point in $12.75 one place to the left, then divide the result by 5 to find the number of dollars in Sherry’s raise.
D) Divide by 10 by moving the decimal point in $12.75 one place to the left, then divide the result by 2 to find the number of dollars in Sherry’s raise

Answers

Answer:

A

Step-by-step explanation:

Which equation represents the nth term of the sequence {2,1,-4,-7...}.

a n =2n-5
a n=3n-1
a n=-3n-10
a n=-3n+5

Answers

Answer:

n=-3n+5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I can only answer this if the second term is -1

a = 2

d = -3

t_n = a + (n - 1)*-3

t_n = 2 + -3n + 3

t_n = 5 - 3n      or

t_n = - 3n + 5

That's D

Aline's
y -intercept
is7,anditsslopeis
–1
3
. What
isitsequationin
slope -intercept
form?

Answers

Answer:

y = -1/3 + 7

Step-by-step explanation:

How do you find the Area of a pentagon

Answers

Answer:

Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.

Step-by-step explanation:

Answer:

I think base times hight

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