A line has a slope of 1/2 and passes through the point (6,2).

a) Write the equation of this line in point-slope form
(b) What is the y-intercept of this line?

Answers

Answer 1

Answer:

a) y-2=1/2(x-6) b) The y-intercept of this line is -1.

Step-by-step explanation:

y-y1=m(x-x1)

y-2=1/2(x-6)

------------------

y=1/2x-6/2+2

y=1/2x-3+2

y=1/2x-1

y=mx+b where m=slope and b=y-intercept.


Related Questions

What is the pressure of 0.5 moles of oxygen gas in a 1.50L container at -37°C?

Answers

Answer:

volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.

On Saturday, Malia's volleyball team will be having a family picnic. Hotdogs are sold in packages of 10 and hotdog buns are sold in packages of 8. What is the least number of hotdogs and buns that Malia's team should buy to have exactly the same number of each?

A. 10 hotdogs and 10 buns

B. 16 hotdogs and 16 buns

C. 40 hotdogs and 40 buns

D. 4 hotdogs and 4 buns

Answers

The answer is D. 4 hotdogs and 4 buns

Answer:

D or the last option

Step-by-step explanation:

For A: If we multiply 10 by 10 it gives us 100 and 8 by 10 is 80 and this off by 20 and we need to find number that are the closest.

For B: 16 by 10 is 160 and 16 by 8 is 128 and this has a big difference of 32. This also a big number and I don't know why a team would need 128 hotdogs.

For C: 40 by 10 is 400 and 8 by 40 is 320 and this wayyy of by 80. And i doubt a team needs 320 hotdogs.

For D: 4 by 10 is 40 and 8 by 4 is 32 this is only off by 8 and compared to the other options is the most closest and 32 hotdogs for a team should be reasonable.

:DDD Hope I was able to help!

TIMED WILL GIVE BRAINLYIST

Answers

Answer:

D)

Step-by-step explanation:

TY is a ray.

FR is a segment.

Ray TY intersects segment FR at point P.

Answer: D)

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Answer: TY intersects FR at point P

Explanation:

I hope this helped!

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A company has to buy computers and printers. Each computer, x, costs $550 and each printer, y, costs $350. If the company spends $8,800 and buys a total of 20 machines, how many of each did it buy?

Enter a system of equations to represent the situation, then solve the system.

Answers

Answer:

The company bought 9 computers and 11 printers.

Step-by-step explanation:

Given that a company has to buy computers and printers, and each computer, x, costs $ 550 and each printer, y, costs $ 350, if the company spends $ 8,800 and buys a total of 20 machines, to determine how many of each did it buy the following calculation must be performed:

20 x 550 + 0 x 350 = 11,000

15 x 550 + 5 x 350 = 10,000

10 x 550 + 10 x 350 = 9,000

9 x 559 + 11 x 350 = 8,800

Thus, the company bought 9 computers and 11 printers.

what is 286,713 rounded to the nearest ten thousand?

Answers

Answer:

290,000                                                                                                                                          

Step-by-step explanation:

sorry if wrong

select the graph for the solution of the open sentence click until correct graph appears [×]>1​

Answers

Is there supposed to be a picture or a multi choice answer because there is none.Sorry

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?

1 point
2 points
3 points
4 points

Answers

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

Which expression is equivalent to (xy)z?

Answers

Answer:

[tex](xy)z = xyz[/tex]

Step-by-step explanation:

Given

[tex](xy)z[/tex]

Required

Equivalent expression

No option is given. So, I will solve generally.

To solve this question, we simply open the bracket.

So:

[tex](xy)z = xyz[/tex]


Maureen went on a 3 day, 50 mile biking trip. The first day she biked 6 miles. The second day she
biked 19 miles. How many miles did she bike on the 3rd day?

Answers

Step-by-step explanation:

Given

d1 = 6 miles

d2 = 19 miles

d3 = ?

d1+d2+d3 = 50

6+19+d3 = 50

25+d3 = 50

d3 = 50 - 25

= 25miles

-4.5,7.25,-10,12.75 18th term arithmetic sequence

Answers

Answer:

The first term of an arithmetic sequence is equal to $\frac{5}{2}$ and the common difference is equal to 2. Find the value of the 20 th term. example 2: An arithmetic sequence has a common difference equal to $7$ and its 8 th term is equal to $43$.

Step-by-step explanation:

PLS HELP ASAP!!!!!!!!!!!​

Answers

2nd one

I don't take animal biology/zoology or whatever but I think it's just a long winded version of saying camouflage

Answer:

I am pretty sure the answer is B. (The second one)

Step-by-step explanation:

Branliest to correct answer no guessing please

Answers

Answer:

the vertical bar "|"

Step-by-step explanation:

Sorry if it's wrong.

it’s the 2nd one i think

The graphs of triangles LMN and NOP are shown.

which of the following best describes the slope of line LP?

A) 5/2
B) 2
C) 2/5
D) 1/3

Answers

Answer:  Choice C) 2/5

===========================================================

Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

m = (y2-y1)/(x2-x1)

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters? Round your answer to four decimal places.

Answers

; 134

a:8

n:44

3.6

3.6

P,ob.Z);Jlty : 1 - P(:

<z<-

[ - ]]p(-2.98 ' z ' 2.98)]

[ -]p(z ' 2.98) - p(z ' -2.98)]

[ - E0.9986 - 0.0014]

=0.0028

The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.

Given:

Mean diameter of the population (μ) = 134 millimeters

Standard deviation of the population (σ) = 8 millimeters

Sample size (n) = 44

Difference from the population mean (d) = 3.6 millimeters

To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.

First, calculate the standard error of the mean (SE):

SE = σ / sqrt(n)

SE = 8 / sqrt(44) ≈ 1.206

Next, calculate the z-score using the formula:

z = (x - μ) / SE

For a difference of 3.6 millimeters, we have:

z = (3.6 - 0) / 1.206 ≈ 2.988

Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.

P(z > 2.988) ≈ 0.0014

Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

To know more about probability here

https://brainly.com/question/13604758

#SPJ2

caculate the VAT inclusive amount for R42,42​

Answers

Answer: R47.66

Step-by-step explanation:

Assuming this amount of R42.42 is Indian Rupees, then the relevant VAT rate to use is 12.36% which is the VAT rate in India.

The VAT inclusive amount is therefore:

= 42.42 * ( 1 + tax rate)

= 42.42 * ( 1 + 12.36%)

= R47.66

The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.

Answers

Answer:  

430 is the cost of catering 18 less than 100 guests.

Step-by-step explanation:

f(g(18))=f(100-18)=f(82)=20+5*82=430

greg is at a used bookstore. Paperback books cost $1 each, and hardcover books cost $2 each. Greg can spend up to $20 in all. Write and inequality that represents this situation. Let x be the number of paperback books, and let y be the number of hardcover books.

Answers

Step-by-step explanation:

Cost of paperback books = $1x = $x

Cost of hardcover books = $2y

Given Greg can spend a MAXIMUM of $20,

Cost of Paperback books + Cost of hardcover books must be at most 20.

Inequality of this situation =

[tex]x + 2y \leqslant 20[/tex]

helppp meee plsss i’m begging

Answers

Answer:

y = 9

Step-by-step explanation:

please help i will give brainlist don't answer if you don't know it

Answers

Answer:

1:

Step-by-step explanation:

The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence

Answers

Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]

a rectangular playing field is 80 yd long and has an area of 4240 yd squared. find the width of the field?​

Answers

Answer:53

Step-by-step explanation:

4240/80 = 53

53*80 = 4240

Answer:

53 yd

Step-by-step explanation:

Because you find the area of a field by multiplying the length by the width, this can be written as 4240=80x, where x equals the width of the field. Now all you have to do is divide 4240 by 80 to get what x, or the width, is.

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

m = 8, (5,5)

Answers

Answer:

8x + y = 45

Step-by-step explanation:

Ax + By = C

8(5) + (5) = C

40 + 5 = C

45 = C

8x + y = 45

A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.

Answers

Answer:

::::::::::::::::::

5:2

9482 ÷ 497 answer pls

Answers

Answer:

19.0784708249

Step-by-step explanation:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice. If the underlying population SDs are equal, a simple random sample of 1000 people in California is

Answers

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.

Help with this problem please

Answers

Answer:

A. 50°

Step-by-step explanation:

I am currently working on the explanation.

The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?

Answers

9514 1404 393

Answer:

  12

Step-by-step explanation:

Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...

  x + y + 2x = 27   ⇒   y = 27 -3x

The requirement that the middle number is y gives rise to the inequality ...

  x < y < 2x

Substituting for y, we have ...

  x < 27 -3x < 2x

Adding 3x gives us ...

  4x < 27 < 5x

These two inequalities give us the requirement that ...

  27/5 < x < 27/4

  5.4 < x < 6.75

The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.

The greatest number is 12.

I NEED URGENT HELP!! THANK U!

Answers

Answer:

1.) [tex]\frac{1}{2}[/tex]

2.)[tex]\frac{3}{4}[/tex]

3.)[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

I did this, in like, 2 weeks ago.

Check attachment for answer.

What is the largest six digit number
you can make that has a 1 in the
thousands place?

Answers

Answer:

dwjoqwejo;fjoqfjop

Step-by-step explanation:

Mrs. Rayo cut one piece of pie as shown in the drawing.
From the first cut to the second cut, she rotated the knife
60 one-degreee turns.
second cut
o
first cut
What is the measure of the angle formed by the piece of
pie?
40°
60°
100°
O 180°

Answers

Answer:

60°

Step-by-step explanation:

She rotated the knife 60° so the second cut will make an angle of 60° to the first cut.

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