(5,3)(6,r) m=-1
Find the value of r so that the line that passes through the pair of points has the given slope

(5,3)(6,r) M=-1Find The Value Of R So That The Line That Passes Through The Pair Of Points Has The Given

Answers

Answer 1

Answer:

Step-by-step explanation:

Slope is change in y over the change in x

(r - 3) / (6 - 5) = -1

(r - 3) / (1) = -1

r - 3 = -1

r = 2


Related Questions

Write the quadratic function in f(x)=a(x−h)2+k form whose graph is shown below.



The graph shows a downward facing parabola with vertex (negative 3, 4) and y-intercept (0, negative 5).

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{h}{-3}~~,~~\stackrel{k}{4})\qquad \implies f(x) = a[x-(-3)]^2+4\implies f(x) = a(x+3)^2+4 \\\\\\ \textit{we know that} \begin{cases} x=0\\ f(x) = -5 \end{cases}\implies -5=a(0+3)^2+4\implies -5=9a+4 \\\\\\ -9=9a\implies \cfrac{-9}{9}=a\implies \boxed{-1=a}~\hfill \blacktriangleright f(x)=-(x+3)^2+4 \blacktriangleleft[/tex]

You are in charge of financial services and must calculate overtime pay for employees in your division. Due to a heavy workload, an employee had to do 35 hours of overtime in two weeks. Seven of these hours are at "double time" (i.e. twice usual pay), the rest are at "time-and-a-half". The employee's usual pay is $375 a week at $10 an hour. How much overtime money should the employee be paid for the two week period?

Answers

Answer:

$2,100

Step-by-step explanation:

'regular' pay is 375/10 or $37.50 per hour

'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour

'double time' would be (2)37.50 = $75.00

35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'

so:

(7)75 + (28)56.25 = 525 + 1575

Total overtime pay for 2-week period is $2,100

1. Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection. The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of patients that experience kidney rejection and 9% of patients that do not experience kidney rejection receive a test result that proves to be incorrect. Physicians know that in about 30% of kidney transplants the body tries to reject the organ. If the new test has a positive result (indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney?

Answers

Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Positive test.Event B: Body attempting to reject the kidney.

The percentages associated with a positive test are:

80% of 30%(experience kidney rejection).9% of 70%(do not experience kidney rejection).

Hence:

[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]

The probability of both a positive test and the body attempting to reject the kidney is:

[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]

0.7921 = 79.21% probability that the body is attempting to reject the kidney.

A similar problem is given at https://brainly.com/question/25553471

What is the equation of this line in standard form?


6x−7y=11

6x−7y=−11

7x−6y=11

6x−5y=−13

Answers

9514 1404 393

Answer:

  (b)  6x −7y = −11

Step-by-step explanation:

Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...

  a) 11/-7 = -1 4/7

  b) -11/-7 = 1 4/7 . . . . possible candidate

  c) 11/-6 = -1 5/6

  d) -13/-5 = 2 3/5

The only y-intercept that matches the graph is the one for equation ...

  6x -7y = -11

_____

You can use any of several other strategies to verify this choice:

1) Putting the given point values into the equation:

  for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes

  for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes

__

2) Finding the equation from the given points.

  m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7

Then the point-slope equation is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-1) = 6/7(x -(-3)) . . . . . substitute known values

  7y +7 = 6x +18 . . . . multiply by 7, simplify

  6x -7y = -11 . . . . . . . add -18 -7y to both sides

find the inverse of the function F(x)=x-3​

Answers

Answer:

f¹(x) = x - 3

To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.

Rewrite the function f(x) = x + 3

as the equation y = x + 3

Trade x and y.

x = y + 3

Solve for the "new" y.

= y + 3

3 - 3

Subtract 3 from both sides

y = x= 3

The symbol for the inverse is f-¹(x)

f¹(x) = x - 3

Step-by-step explanation:

brainlies me plss

[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]


28. Marta Sanchez purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For all
purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her
purchases?

Answers

Answer:

$ 1.94

Hope I helped

Guided Practice


Write the equation of the parabola in vertex form. The vertex is (3, 2) and the parabola passes through the point (0, 38). Create a rough sketch of the graph to use as a visual aid.


A.
y = 4(x + 3)2 + 2


B.
y = (x + 3)2 + 2


C.
y = 19(x − 2)2 + 3


D.
y = 4(x − 3)2 + 2

Answers

Answer:

D.

y = 4(x − 3)^2 + 2

Step-by-step explanation:

A.    y = 4(x + 3)^2 + 2   = ( − 3 ,  2 )

B.    y = (x + 3)^2 + 2     = ( − 3 ,  2 )

C.    y = 19(x − 2)^2 + 3  = ( 2 ,  3 )

D.    y = 4(x − 3)^2 + 2   = ( 3 ,  2 )

URGENT WILL GIVE BRAINILY
Alex drives at a speed of 60 miles per hour. How long will it take to drive 330 miles?​

Answers

Answer:

5.5 hours

Step-by-step explanation:

time = distance/speed

t = 330/60

t = 5.5 hours

simplify 5 − 2(2.5 − 6.7)^2

Answers

Answer:

-30.28

Step-by-step explanation:

Which methods of evaluating a capital investment project ignore the time value of money?

Answers

Answer: Varies

Step-by-step explanation:

It involves any that is not concerned with making a profit.

number of heads: 0,1,2,3 Frequency: 16,38,34,12 Find the median​

Answers

Answer:

the median of 0 1 2 3 16 38 34 12 is 9.5

In grade 10, the ratio of boys to girls is 2: 3. There are 75 girls. How many are boys?

HELP PLEASE .. I WILL GIVE A BRAINLIEST !

Answers

Answer:

150

Step-by-step explanation:

The ration is 2/3 in this example means they are twice as many boys than girls. If boys = 2/3, than girls = 1/3.

So, to find the answer, you must multiply 75 by 2, which is 150.

You don't need this, but they are 75 + 150 = 225 boys and grils in grade 10.


S.7.G.1.1
Question
In a drawing of a bus, the length is 5 cm. If the scale used
is 1 cm: 9 ft, what is the actual length of the bus?

Answers

9x5 =45 so the actual Length would be 45 feet

An arrow is shot at an angle 32 degree from the horizontal. If it's height is increasing at 200 km/hr, how fast is the arrow itself going?

Answers

Check the picture below.

Bearing in mind that the angle is not changing all the wihle, namely is constant

[tex]tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}[/tex]

Express 0.03 as a percentage of 1

Answers

Answer:

3%

Step-by-step explanation:

[tex] \frac{0.03}{1} \times 100[/tex]

0.03=3/100 So

[tex] \frac{3}{100} \div 1 \times 100[/tex]

=3%

0.03 will be 3% but if it was 0.3 it would be 30% remember this for class


You buy a $266,000 home.with. a.down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment mortgage amount

Answers

The answer is $210,140

4. 8 is what percent of 18?

Answers

Answer:

the answer is 26.6666667 and when rounded off is 26.7

Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 3х - 5 ԝһеn tһе ԁօmаіn іѕ {-4, 2, 9}.

Answers

Answer:

range is { - 17, 1, 22 }

Step-by-step explanation:

Substitute the values from the domain (input) into f(x) for range

f(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17

f(2) = 3(2) - 5 = 6 - 5 = 1

f(9) = 3(9) - 5 = 27 - 5 = 22

range is { - 17, 1, 22 }

A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph

Answers

Answer:

4mph

Step-by-step explanation:

A number x increased by 4 is less than or equal to 27.

Answers

Any time you need to change a word problem involving a variable and you are not sure how to do it, ask yourself how would I tackle this problem with a known number and then trace what operation was used.

If I asked you what is the result if the number 7 is increased by 4, you would likely say 11. Tracing your work, you realize that you added 7 + 4 = 11.

Thus a number (e.g. n) increased by 4 is simply:

n + 4

Answer:

x + 4 < 27

-4. -4

x > 24

Step-by-step explanation:

put lines under signs


I need the answer and how you done it please

Answers

Answer:

x=11/17

Step-by-step explanation:

determine the defined range

11/x  17

11/x =17 then x is canceled out  

11=17x

17x=11 dividing both sides

x=11/17

Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.

Answers

Answer:

1/2

Step-by-step explanation:

b is directly proportional to h.

b = kh

take any (h, b) point

using (28, 14)

14 = k(28)

Divide both sides by 28

1/2 = k

1/2

100.00 decreased by 20%
Please help

Answers

Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value

Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)

Below is an excerpt from the home loan contract Kyle signed with his bank.
“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.
The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”
Kyle failed to make his payment by the first of this month. Kyle’s monthly payment is currently $1,200. If Kyle decides to split the missing payment into two parts and pay it over the next two months, which of the following statements is false?
a.
Kyle will be reported to a credit agency.
b.
Kyle will be charged a $75 late fee for the missing payment.
c.
Kyle has one business week to inform his bank of the late payment.
d.
Kyle’s monthly payments for the next two months will remain $1,200.

Answers

The answer is A hope that helps

A right triangle with a hypotenuse of square root of 61 has an area of 15 square inches. Find the lengths of the other two sides.



Answers

The lengths of the other two sides are 6 inches and 5 inches

Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.

Since the area of the triangle is 15 in², hence:

Area(A) = (1/2) * base * height

15 = (1/2)bh

bh = 30  

b = 30/h         (1)

Applying Pythagoras theorem also:

x² = b² + h²

(√61)² = b² + h²

61 = (30/h)² + h²

61 = 900/h² + h²

61h² = 900 + h⁴

h⁴ - 61h² + 900 = 0

h = -6, -5, 5, 6

Since the length cant be negative, hence h = 5 or h = 6

When h = 5; b = 30/5 = 6

When h = 6; b = 30/6 = 5

Therefore the lengths of the other two sides are 6 inches and 5 inches

Find out more at: https://brainly.com/question/2773823

What is the algebraic expression for the following word phrase: the product of 7 and the difference of x and y?

Answers

Answer:

7(x-y)

Step-by-step explanation:

difference of x and y=x-y

product of 7=7 times the expression

so,

Answer is 7(x-y)

BEST ANSWER GETS BRAINLIEST!!!!!!!

ruben the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 9 clients who did Plan A and 7 who did Plan B. On Tuesday there were 3 clients who did Plan A and 5 who did Plan B. Reuben trained his Monday clients for a total of 12 hours and his Tuesday clients for a total of 6 hours. How long does each of the workout plans last?

Answers

Let plan A be x

Plan B be y

Equations are

[tex]\\ \sf\longmapsto 9x+7y=12--(1)[/tex]

[tex]\\ \sf\longmapsto 3x+5y=6--(2)[/tex]

Multiplying (1) by 1 and (2) by 3

9x+7y=129x+15y=18

Subtracting

[tex]\\ \sf\longmapsto -8y=-6[/tex]

[tex]\\ \sf\longmapsto y=3/4[/tex]

Putting in eq(2)

[tex]\\ \sf\longmapsto 3x+5(3/4)=5[/tex]

[tex]\\ \sf\longmapsto 3x+15/4=5[/tex]

[tex]\\ \sf\longmapsto 3x=5-4/15[/tex]

[tex]\\ \sf\longmapsto 3x=71/15[/tex]

[tex]\\ \sf\longmapsto x=71/45[/tex]

positive and negative relationships are both examples of linear relationships


A. True

B false ​

Answers

Answer: A. True.

Step-by-step explanation:

A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.

Gus, Verid and their three children went to see a show.,
The children were charged half-price. If the total cost of the tickets was $94.50, how
much did each adult ticket cost?

Answers

Answer:

28.35 each adult

Step-by-step explanation:

About $27 for the adults tickets I believe

what are the solutions to the system

Answers

[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]

[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]

Other Questions
. The gas in a piston (defined as the system) warms and absorbs 655 J of heat. The expansion performs 344 J of work on the surroundings. What is the change in internal energy for the system HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!! i need help with this question 6/7 = x/11 round to nearest tenth A soccer player is running at a rate of 6m/s. He then stumbles over an opponent's foot falling & rolling to a stop. This took 4 seconds. What was his acceleration? A square is 3 inches by 3 inches. What is its area What is the solution of 2x-5(x-4)=-8+5x-12. In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. If the spectator has an angle of 115 between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?hole? 25.6 39.4 64.3 65.0 PLEASE HELP!! PLEASE AND THANK YOU! Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.1. If she eats 2 servings of granola, how many calories does she eat? calories2. If she wants to eat 1050 calories of granola, how many servings should she eat servings3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten. help quick dont guess 15 mm 4 mm 3 mm what is the surface area of the prism Which of the above reactions is NOT an oxidation-reduction (redox) reaction?A.First (blue)B.Third (white)C.Fourth (purple)D.Fifth (pink)E.Second (red) What changed after the American Revolution? Fill in the blank. A percent is a constant of proportionality describing the ________ to the ________ identify each of the following changes of states as melting ,freezing,sublimation or deposition a: ice sculpture start breaking down as temperature rise above 0 degree express the following as decimal. 25/100020/503/502/3 is there a new harry potter movie coming out in 2022 Timeline sort help here are pics 5.6p-3=-9+2(p+7) in a five step equation.