Answers
Answer:
Domain and Range in set notation
Domain: {x|x=4,0,-2}
Range: {x|x=-1,4,9,-9}
Step-by-step explanation:
We are given a relation G
G={(4,-1),(0,4),(-2,9),(-2,-9)}
We need to find domain and range of the relation G
Domain: The domain is the set of all first elements of ordered pairs (x-coordinates)
Range: The range is the set of all second elements of ordered pairs (y-coordinates).
So for the given relation G={(4,-1),(0,4),(-2,9),(-2,-9)}
Domain is: (4,0,-2)
Range is: (-1,4,9,-9)
So, Now writing Domain and Range in set notation
Domain: {x|x=4,0,-2}
Range: {x|x=-1,4,9,-9}
Related Questions
A small aircraft starts its descent from an altitude of h = 1.4 miles, 4 miles west of the runway
a. Find the cubic f(x)=ax3+bx2+cx+d on the interval [−4,0] that describes a smooth glide path for the landing.
b. The function in part (a) models the glide path of the plane. When would the plane be descending at the greatest rate?
Answers
Answer:
Step-by-step explanation:
From the question we are told that
Altitude of Height 1.4miles
4miles west
a) From the question
[tex]f(x)=ax3+bx2+cx+d[/tex] on interval (-4,0)
The descent can be expressed in [tex]\triangle _x =-4,0[/tex]
therefore initial points is (-4 , 1.4).
final co-ordinate is given by (0,0) as its landing
Mathematically solving in above cubic equation
[tex]0 = 0 + 0 + 0 + d \\[/tex]
[tex]d = 0[/tex]
[tex]1.4 = -64a + 16b -4c + d[/tex]
[tex]1 = -45.7a + 11.4b-2.9c+d[/tex]
Generally in this case Slope of tangent at point of descent is zero.assuming flight was initially straight before descent
[tex]f'(x) = 3ax^2 + 2bx+c[/tex]
[tex]f'(-4) = 48a -8b + c = 0[/tex]
[tex]f'(0) = c = 0[/tex]
Mathematically solving above equations we have
[tex]a = \frac{1}{40} \ and \ b = \frac{3}{20}[/tex]
Therefore having found a and b the Cubic equation is given as
[tex]f(x) = \frac{1}{40}x^3 + \frac{3}{20}x^2[/tex]
b)descent at its greatest rate
[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]
[tex]f(x)=\frac{1.4}{40} x^3 + \frac{129}{20} x^2[/tex]
These triangles are proportional.
What is the value of x?
Answers
20:5
x:4
Cross multiply
5x= 80
Divide both sides by 5
80/5 is 16
x is equal to 16
10 x 1/2+(-6)(-3) simplified in steps
Answers
Answer:
the answer is:
(12) + (18) = 30
9. Gross Margin equals $50,000, operating expenses equals $23,000, income
taxes equals $5,400 and sales is $110,000. What is the company's net income?
Answers
Answer:
$21600
Step-by-step explanation:
Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:
Net income = Revenue - cost of goods sold - operating expenses - tax.
But Gross margin = gross profit = Revenue - cost of goods sold. Hence:
Net income = Gross margin - operating expenses - tax.
Substituting gives:
Net income = $50000 - $23000 - $5400
Net income = $21600
I GIVEEEEE BRAINLILSET
Answers
Answer:
h
Step-by-step explanation:
because I just know ittttttt
Answer: J $10 per hour
Step-by-step explanation: 3 sets of 8 hours = 24 hours. $10 times 24= $240
The equation of 2 straight lines that are parallel to each other are defined 4x + py =5 and 2x - 5y -6=0. calculate for p.
by
P(-3,5)
Q (0,3)
R (h,-3)
Answers
Answer:
-10
Step-by-step explanation:
4x+py=5
Is also 2x+(p/2)y=5/2
And the other is 2x-5y+6=0
As the lines are parallel
2/2=(p/2)/(-5)
p= -10
Could someone help me please with this math question don’t pass it
Answers
Answer:
the answer is option A.
thank you for your help appreciate it
Answers
Answer:
the correct answer is 150 have a nice day!:)
Step-by-step explanation:
Rewrite 45 + 60 using the distributive property.
Answers
Answer: 15(3+4)
Step-by-step explanation:
First, we want to find the GCF of these numbers
The greatest number they can both be divided by is 15
All of the possible factors are 1, 3, 5, 9, 15, and 15 is the highest
So 15 is the GCF
We then divide these numbers to get the equation
45/15=3
60/15=4
So the new equation would be (3+4)
We then add the GCF outside the parenthesis so you can distribute it in order to get the original numbers
So the distributive equation would be 15(3+4)
Answer 15(3+4)
OA
Lesson Quiz
Aaron can paint a door in 6 h, and Ana can do the same job in 3 h. Working together, how many hours will it take them to paint a door?
h
Answers
Answer:
4.5
Step-by-step explanation:
that is
their rates =1/6, 1/3 respectively
total =1/2
if 1/2=9
1= 9/2
= 4.5
We want to find the rate at which Aaron and Ana work together, we will find that when working together they can paint 1 door in 2 hours.
Working with rates:
We know that Aaron can paint a door in 6 hours and Ana can paint the same door in 3 hours. The rates are just defined as the number of doors painted over time, so we get:
Aaron's rate = (1 door/ 6h)Ana's rate = (1 door/ 3h)When they work together the rates just add up, so we get:
R = (1 door/ 6h) + (1 door/ 3h) = (1 door/ 6h) + (2 door/ 6h)
= (3 doors/6 hours) = (1 door/ 2 hours)
This means that, working together, they can paint 1 door in 2 hours.
If you want to learn more about rates, you can read:
https://brainly.com/question/14305692
Simplify (5^-2)^4
Please explain i keep getting a weird answer.
Answers
Answer:
[tex] \dfrac{1}{5^8} = \dfrac{1}{390625} [/tex]
Step-by-step explanation:
[tex](5^{-2})^4 = 5^{-2 \times 4} = 5^{-8} = \dfrac{1}{5^8} = \dfrac{1}{390625}[/tex]
Pretend this is the answer in da comments
A plane parallel to the base of a pyramid divides the pyramid into two pieces. Find the ratio of the volume of the top part of the whole pyramid to the volume of the bottom part.
Answers
Answer:
Step-by-step explanation:
There are several ambiguities in your question upon which I feel disinclined to speculate. It cries out for an explanatory diagram:
For example (i.e. including but not only!):
1. What is the essential distinction between a plane and a regular pyramid?
2. Does each of the two solids have all of its own edges equal, independently of the other solid? Or are the corresponding edges of the two solids equal? Or are all edges of both solids equal?
In a G.P the difference between the 1st and 5th term is 150, and the difference between the
2nd and the 4th terms is 48. Find the sum of the first five terms.
Answers
Answer:
Either [tex]\displaystyle \frac{-1522}{\sqrt{41}}[/tex] (approximately [tex]-238[/tex]) or [tex]\displaystyle \frac{1522}{\sqrt{41}}[/tex] (approximately [tex]238[/tex].)
Step-by-step explanation:
Let [tex]a[/tex] denote the first term of this geometric series, and let [tex]r[/tex] denote the common ratio of this geometric series.
The first five terms of this series would be:
[tex]a[/tex], [tex]a\cdot r[/tex],[tex]a \cdot r^2[/tex],[tex]a \cdot r^3[/tex], [tex]a \cdot r^4[/tex].First equation:
[tex]a\, r^4 - a = 150[/tex].
Second equation:
[tex]a\, r^3 - a\, r = 48[/tex].
Rewrite and simplify the first equation.
[tex]\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}[/tex].
Therefore, the first equation becomes:
[tex]a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150[/tex]..
Similarly, rewrite and simplify the second equation:
[tex]\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}[/tex].
Therefore, the second equation becomes:
[tex]a\, r\, \left(r^2 - 1\right) = 48[/tex].
Take the quotient between these two equations:
[tex]\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}[/tex].
Simplify and solve for [tex]r[/tex]:
[tex]\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}[/tex].
[tex]8\, r^2 - 25\, r + 8 = 0[/tex].
Either [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex] or [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex].
Assume that [tex]\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75[/tex].
Calculate the sum of the first five terms:
[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}[/tex].
Similarly, assume that [tex]\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}[/tex]. Substitute back to either of the two original equations to show that [tex]\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75[/tex].
Calculate the sum of the first five terms:
[tex]\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}[/tex].
Solve the equation.
x – 21 = 6
x=
Answers
Answer:
x = 27
Step-by-step explanation:
[tex]x - 21 = 6[/tex]
Add 21 to both sides.
[tex]x = 6 + 21[/tex]
[tex]x = 27[/tex]
Help please click the picture
Answers
Answer:
D. 113
Step-by-step explanation:
They are the same angles
I WILL ONLY GIVE BRAINLIEST IF YOU SHOW YOUR WORK
Answers
Answer:
Books due to this week=1260
Step-by-step explanation:
F-books checked out=12500*(2/5)=5000
nonF-books checked out=19000*(2/5)=7600
Total checked books=5000+7600=12600
Books due to this week = (1/10)*12600=1260
r-2 <= 9; r =8 is this iniquality a soulition
Answers
Answer:
Yes
Step-by-step explanation:
R-2 < 9; when R=8
8-2 < 9
because
6 < 9 (reads as "6 is less than 9")
Amy started with $125 in her savings account. She deposited $25, withdrew $15, and then deposited $30. How much money is in Amy’s savings account now?
Answers
for every 1 book harry reads, Emily reads 3. the table shows the ratio 1:3 and two equivalent ratios. which graph shows the correct way to plot ratios of harry's books to Emily's books as ordered pairs?
Answers
Answer:
(1,3) (2,6) (3,9) (4,12)
Step-by-step explanation:
Meanwhile the x value increases by 1, the y value increases by 3.
Determine if the following relations are functions, and justify why.
a) **{(1, −2), (−2, 0), (−1, 2), (1, 3)}
Function?: ____________
Justification: ____________________________________________________________________________
Answers
WILL GIVE YOU BRILLIENT
Gwen uses a copying machine to increase the size of her drawings. The copying machine is set to triple the length of her drawings.
Let d represent the length of Gwen's original drawing.
Which expression represents the length of a copy of Gwen's drawing?
A.
d − 3
B.
d ÷ 3
C.
d + 3
D.
d · 3
Answers
Answer:
D.
Step-by-step explanation:
The dot in the answer means multiply.
Find the midpoint of AB¯¯¯¯¯¯¯¯if A(3,-8) and B(7,6).
Answers
Answer:
A(3,-8)= x1y1
B(7,6)= x2y2
here,
midpoint = (x1+x2/2,y1+y2/2)
= (3+7/2) (-8+6/2)
= (10/2,-2/2)
= (5,-1)
Step-by-step explanation:
by using midpoint formula
Fredrick wrote a system of equations that has the same solution as the system of equations in the box.
Answers
6x+2y=10
7y=14
need the answer thank you
Answers
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question.
(a) Describe a property of squares that is also a property of rectangles.
(b) Describe a property of squares that is NOT necessarily a property of all rectangles.
(c) Describe a property of rhombi that is also a property of squares.
(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.
(e) Describe a property that applies to ALL parallelograms.
Answers
Answer:
(a) Describe a property of squares that is also a property of rectangles.
All the angles of a rectangle are 90° Diagonals of a rectangle bisect each other(b) Describe a property of squares that is NOT necessarily a property of all rectangles.
All sides of a square are equal and parallel to each other(c) Describe a property of rhombi that is also a property of squares.
Diagonals bisect each other perpendicularly(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.
All sides are equalDiagonals bisect each other perpendicularly(e) Describe a property that applies to ALL parallelograms.
Opposite angles are equal Opposite sides are equal and parallel Diagonals bisect each other Sum of any two adjacent angles is 180°Solve the equation for ‘t’
5t + (-3t - 5) = 13 - 4t+20
Answers
WILL GIVE 5 STAR IF CORRECT: Amelia uses her credit card to buy some clothes for $678.34. She can pay off up to $235 per month. The card has an annual rate of 21.7% compounded monthly. How much total interest will she pay? (4 points)
$11.93
$12.27
$24.65
$29.72
Answers
Answer:
chetta es polla airemeris di quana premeria
Step-by-step explanation:
Answer:
Month 1:
Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61
Make payment: 690.61 - 235 = 455.61
Old Balance: 690.61
New Balance: 455.61
--------------------------------------------------------------
Month 2:
Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85
Make payment: 463.85 - 235 = 228.85
Old Balance: 463.85
New Balance: 228.85
--------------------------------------------------------------
Month 3:
Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99
Make payment: 232.99 - 232.99 = 0
Old Balance: 232.99
New Balance: 0
--------------------------------------------------------------
Payments Made: 235, 235, 232.99
Number of Payments Made: 3
Total Cost: 235 + 235 + 232.99 = 702.99
Total Cost: $702.99
Total Interest: 702.99 - 678.34 = 24.65
Total Interest: $24.65
7+9+ 3z – 2z + 4
(Show work please)
Answers
Let’s simplify
7+9+3z-2z+4
=7+9+3z+-2z+4
Combine like terms:
=7+9+3z+-2z+4
=(3z+-2)+(7+9+4)
=z+20
What is the answer of a multiplication problem called
What is the answer of a division problem called
Answers
Answer:
In multiplication the answer is called PRODUCT and in division the answer is called quotient.
Step-by-step explanation:
I hope that helps and you get a good grade :)
The answer to a multiplication problem is called a Product. The answer to a division problem is called the quotient.
–9p – 17 = 10
A. –3
B. 16
C. 18
D. –16
i will give brainly
Answers
Answer:
A. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
-9p - 17 = 10
Step 2: Solve for p
Add 17 on both sides: -9p = 27Divide -9 on both sides: p = -3