Explain why the order in an ordered pair is important
Answers
Step-by-step explanation:
An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.
The x-coordinate always comes first, before the y-coordinate.
(x, y)
Step-by-step explanation:
The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.
In an ordered pair, (x, y):
The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.
For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.
Please see the attached screenshot where it shows how these two points have varying locations.
Related Questions
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]
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
A. What does each of these points represent in the is situation: (0, 0), (1, 55), and (5, 275)?
What does each of these points represent in this situation (0, 0), (1, 55) and (5, 275)? Graph shows Mr. Brown’s road trip, with time (h) on the x-axis and distance (mi) on the y-axis. Points marked on the line graph are at (0, 0), (1, 55) and (5, 275).
Answers
Step-by-step explanation:
[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{9999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]
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]
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
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 )
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 }
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
Andrew made a list of chores he needed to complete before his father comes home from work. On the chart, he showed the time it would take him to complete each chore.
If Andrew’s father is expected home at 6:00 p.m., what is the latest time Andrew could begin his chores?
Use the Hint to view the conversion chart.
Answers
Answer: the answer is 3:20pm!
Step-by-step explanation:
i got the question correct just now!
Answer:
3;20
Step-by-step explanation:
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
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%
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
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
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
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
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:
simplify 5 − 2(2.5 − 6.7)^2
Answers
Answer:
-30.28
Step-by-step explanation:
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.
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:
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.
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
What is the inequality shown?
Answers
-4<x>/=5
○ means either< or > but since the line is moving to the right it means that x is greater than -4 (<x)● means greater than or equal to since the line stoped at 5 it means x can be equal to 5 or less then 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.
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=18Subtracting
[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]
A number x increased by 4 is less than or equal to 27.
Answers
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
4. 8 is what percent of 18?
Answers
Answer:
the answer is 26.6666667 and when rounded off is 26.7
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]
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]
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)