A drill is used to dig down into the earth. After 2 hours, the drill is 12 meters below the surface. After 5 hours, the drill is 30 meters below the surface. Which equation represents the depth of the drill in meters, y, after ​x hours of drilling?

Answers

Answer 1

Answer:

6y = x

Step-by-step explanation:

All that equation is saying is that for every 1 hour drilled (x), 6 meters (y) are drilled.

y = distance in meters

x = time

12y = 2x

12y/2 = 2x/2

6y = x

30y = 5x

30y/5 = 5x/5

6y = x

Answer 2

The equation representing the depth of the drill in meters, y, after ​x hours of drilling is y = -6x

Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.

A linear equation is in the form:

y = mx + b;

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

Let y represent the depth of drill in meters after x hours of drilling. Hence:

Since after 2 hours, the drill is 12 meters below the surface, it can be represented by (2, 12). Also after 5 hours, the drill is 30 meters below the surface, it can be represented by (5, 30)

The equation of the line is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\\\y-(-12)=\frac{-30-(-2)}{5-2}(x-2) \\\\y+12=-6(x-2)\\\\y+12=-6x+12\\\\y=-6x[/tex]

The equation representing the depth of the drill in meters, y, after ​x hours of drilling is y = -6x

Find out more at: https://brainly.com/question/19426333

Therefore the graph is attached below.

Find out more at: https://brainly.com/question/13911928


Related Questions

bruh can someone help me ill give brainlist

Answers

Answer:

x=2

Step-by-step explanation:

6+8x=6x+10

6+2x=10 Subtract 6 from both sides

2x=4 subtract 6 from both sides

x=2 divide by 2 on both sides

Hope this helps plz mark brainliest :D

EASY!!!! Answer correctly
I will give brainliest!!!

Answers

Answer:  37

Step-by-step explanation: i did it i think ¯\(°_o)/¯

please please help me!!​

Answers

Answer:

Negative Association because it is going down left to right

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? Subtract 1 from both sides to combine like terms Add 4x to both sides to isolate the variable Distribute the 6 to eliminate the parentheses Combine 4x and -5 to simplify the problem

Answers

Answer:

Distribute the 6 to eliminate the parentheses

Palmer earns $84.00 for mowing 8 lawns. At this rate, how much will he earn if he mows 5
lawns?

Answers

Answer:

$52.50

Step-by-step explanation:

Divide to find the unit rate.

84 / 8 = $10.50 per lawn

Multiply.

10.5 * 5 = $52.50 for 5 lawns

Best of Luck!

Answer:

52.50

Step-by-step explanation:

The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?

Answers

Answer:

It was sold at $32.40.

Step-by-step explanation:

hope this helpss :))

For the first 6% of Britney's salary, her employer matches 100% of her 401(k) contributions, and from 6% to 12%, Britney's employer matches 50% of her 401(k) contributions. Britney's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?

A. $4000
B. $1800
C. $3600
D. $2700

Answers

Answer:

D. $2,700

Step-by-step explanation:

APE X


What is the third term of the sequence?
A
25
B
50
C. 35
D
20

Answers

Answer:

C

Step-by-step explanation:

35 is the third term of the sequence

Have a great day

Need help on this question

Answers

Answer:

How to calculate the amount of sales tax?

    Convert tax percentage into a decimal by moving the decimal point two spaces to the left.

    Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.

    Add the sales tax value to the pre-tax value to calculate the total cost.

Step-by-step explanation:

HELP I’m almost out of time ( it’s not Y=2x+4)

Answers

Answer:

y=2/5

Step-by-step explanation:

_+;3_;3(_+3++_83 I got you man

evaluate each of the following 25.6-4.4 solve​

Answers

21.2

The answer is 21.2 because of you subtract 4.4 from 25.6 it equals 21.2. My work is shown in picture.

NEED HELP PLEASE.............

Answers

C
E
(Maybe B, but not 100% sure though)
It’s C And E Have Ah Good Day

Find the value of the y-intercept of the line whose equation is 2x + 3y = 6.

Answers

Answer:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

.

x-intercept(s):  

(

3

,

0

)

y-intercept(s):  

(

0

,

2

)

Step-by-step explanation:

i need some help please

Answers

the awnser will be 12 !!

have a good day !

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6,500 to spend and purchases 30 textbooks, how many laptops can they buy

Answers

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

Write this linear equation in standard form: y−2=13(x−10)

A: x + 3y = 4

B: x - 3y = 4

C: x - 3y = 8

D: x - 3y = -4

Answers

Answer:

13x-y=128

Step-by-step explanation:

graph is shown below

A small business has 50 total employees: 35 part-time and 15 full-time. What percent of the employees are full-time?

Answers

Answer: 30%

15/50=.3

30%

I hope this is good enough:

Mr. Gonzalez joined a gym that had an initial membership fee of $199 and a monthly cost of $35. How
many months would he have been a member if he paid a total of $829?

Answers

Answer:

sorry

Step-by-step explanation:

In a theater, there are 4 long rows of chairs, each with an equal number of chairs. There are 5 short rows of chairs, each with an equal number of chairs. On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row.

If x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 4(x + 2) + 5(y + 3).

Answers

4(4+2) + 5(5+3)
4x6 + 5x8
24 + 40
64 is your answer

Answer:

9x+23

Step-by-step explanation:


Please help will give brainliest 19-26

Answers

Answer:

19) -2/5  20) 1/2    21)  -5x  22) Slope is 0  23) undefined slope  24) Slope is 0 25) Slope is undefined 26) Slope is undefined

Step-by-step explanation:

You can use Y2-Y1/X2-X1 to get the answer

For example, for 19,

(5,0)  (0,2)

X1 Y1   X2 Y2

2-0/0-5

2/-5

-2/5

If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent

Answers

Answer:

[tex]\large\boxed{\textsf{True.}}[/tex]

Step-by-step explanation:

[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]

[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]

[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]

[tex]\textsf{the same, straight lines.}[/tex]

[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]

[tex]\textsf{angles are congruent to each other.}[/tex]

[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]

1) A person's hair is 8 centimeters long. The
equation below can be used to estimate the
length (L), in centimeters (cm), that the
person's hair will be after w weeks.
L = y + 8

Answers

Answer:

D.10.5

Step-by-step explanation:

8=10/4+8

whats the answer to this?

Answers

Answer: when a > 1, the graph is vertically stretched and steeper.

I hope this helps :)

Solve the Inequality

Answers

The answer would be b because if you add a -4 to a positive 4 you would get 0 same with -3 plus a positive 3 the symbol says it needs to be less or equal to 0

Mary has been saving her weekly allowance for the past 20 weeks. She started with $100 and now has $300. Which equation can be used to find the amount of money Mary receives for her weekly allowance?

Answers

Answer:

Step-by-step explanation:

You should set this up as an y = mx + b equation. Since 300 is her final number, that will be your y value. She started with 100, so that will be your b value. 20 is the number related to the variable you don't know so that will be your m.

300 = 20x + 100

-100            -100

200 = 20x

divide both sides by 20

10 = x

ax2 + ___ + c = 0????? find​

Answers

Answer:

ax² + bx + c = 0

Step-by-step explanation:

ax² + bx + c = 0

its a Standard form of Quadratic Equation

-TheUnknownScientist

This graph shows transformations between
f(x) = 1/x and g(x)= a*(1/x). Use the drop-down menus to
identify the following functions.

Answers

Answer:

b

a

c

d

Step-by-step explanation:

At a dog breeder's property,

2
5
of the 60 dogs are black Labradors. This is

2
3
of the total black dogs.

How many black dogs are there in total?

Answers

45 black dogs because 2/3 of 60 is 45

for m(x)=-2x+7, find the value of x for which m(x)=13

Answers

Answer:

x = -3

Step-by-step explanation:

m(x) = -2x + 7

13  = -2x + 7

6 = -2x

x = -3

The answer is x= -3




The explanation if you need it is since m(x)=13 we get the equation 13=-2x+7. Then we use the equation to find x.


13= -2x+7
-7 -7
6= -2x
— —
-2 -2

-3=x

You then want to check your answer by substituting -3 for x

13= -2(-3) +7
13= 6+7
13=13
If your answers match then your answer is correct

Using the table below, determine the unit rate in beats per minute.
minutes
beats
3
171
4
228
5
285

Answers

Answer: Where is the table?

Step-by-step explanation: i wish i could help but im afraid there isnt a table

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