Answer:
A well-defined collection of elements is a set.
Convert the equation − x − 2 y = 8 from standard to slope-intercept form
Answer:
y = -1/2x - 4
Step-by-step explanation:
We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.
-x - 2y = 8
-2y = x + 8
Now that we have y on one side, we can divide everything by -2.
-2y/-2 = x/-2 + 8/-2
y = -1/2x - 4
That looks like y = mx + b form.
If you have any further questions or need clarification on anything, let me know!
A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?
The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.
Given the following data:
Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]To calculate the velocity of the ball in ft/sec, when t = 1 second:
Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.
Velocity = s'(t)
Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]
[tex]Velocity = -32t + 20[/tex]
Substituting the value of time (t), we have:
[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]
Velocity = -12 ft/sec
Read more: https://brainly.com/question/8898885
Determine the domain and the range of the function.
f = {(4, 8),(19,-3),(33, 8),(54,3)}
The domain is {}.
Answer:
By definition: domain is set of x coordinates = {4, 19, 33, 54}, By definition: range is set of y coordinates = {8, -3, 8, 3} = {8, -3, 3}
Step-by-step explanation:
Calvert Math assinment
Answer:
I dont understand ur question
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
Answer:
667
Step-by-step explanation:
Answer:
It will be
1. 3
2.2
3.5
Step-by-step explanation:
HOpe this helps!
VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
Jasmine frames a portrait to hang in her bedroom. The length of the frame measure 4.5 feet and the frame has a perimeter of 16 feet. Write an equation that can be used to determine w, the width of the frame.
Find the width of the picture frame. Show all work.
Answer:Because
Step-by-step explanation:
Ima teacher
Find The Size Of Angle AED
(Explain How)
[tex] - 110 \: degree[/tex]
list five rational numbers between -1 and 0
Answer:
-1 ,-1/2 , -3/4 , -1 /4, -5 / 8 , -7 / 8 , -13 / 16, 0.
Step-by-step explanation:
I have more question then this one
solve for x: 2(3x +1)-4=6
Answer:
4/3 or 1.3333333...
Step-by-step explanation:
2 x (3x + 1)-4 = 6.
6x+2-4=6.
6x+2=10
6x=8.
X= 1.3333333... OR 4/3
Answer:
refer to the attachment
hope it helps
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a
meter?
Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
To solve more questions on hemispheres, visit the link below -
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The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 145°.
The bearing of point Z from point X is 100°.
Find the bearing of point X from point Z.
Answer:
i cant understand sorry
4. The effects of a certain anesthesia on patients is modeled by the rational function listed below. The
constants A and B are determined by factors such as body mass, age, etc. Suppose a patient who is
about to undergo surgery requires the constants to be A=36 and B=9. If t represents the number of
hours from the time the anesthesia enters the blood stream, and the function describes the percent
concentration needed for the anesthesia to be effective; how long can a surgery take if the percent
concentration needed for the patient to be sedated but not dead is between 4 and 6 percent? Explain
your reasoning and how you found your solution.
Model:C(t)= At/T^2+B
Answer: you will need 10
Step-by-step explanation:
I had the same problem on my hw this is what i got tell i think its correct:
Edit:
C(t)=At/T^2+B
a=36
b=9
t= how long it takes to enter blood stream
c=36/t^2 + 9
I found T to be 6 becuase I searched it up so
36/6^2=36/36=1
c=9+1
C=10
New awnser is 10
what is square root of 50
Answer:
7.071067811865475
Step-by-step explanation:
What is the length of BC?
A.7
B.12
C.13
D.17
E V60
F. V119
Answer:
c. 13
Step-by-step explanation:
c²=a²+b²
c²=5²+12²
c²=169
c=13
James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?
Answer:
james has 3d-10
Step-by-step explanation:
Amy has d dollars
james has 10 less than 3 times Amy's amount
so the answer will be 3d - 10
hope it helps : )
The expression that represents James' amount is 3d - 10. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A sentence-to-equation translation is a process of turning a given statement into an expression or equation.
James has $10 less than Amy, who has three times as much money.
Let d be the amount Amy has. Then the expression is given as,
⇒ 3d - 10
The expression that represents James' amount is 3d - 10. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
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The missing options are given below.
a) 3d - 10
b) 10 - 3d
c) 3d - 30
d) 30 - 3d
Translate this sentence into an equation.
70 is the product of Han's savings and 5.
Use the variable h to represent Han's savings.
The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40
Answer:
C
Step-by-step explanation:
How many cherries tomatoes does he need?
1 Large Salad uses 10 cherry tomatoes.
1 Small Salad uses 6 cherry tomatoes.
Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.
4 small salads: 4 x 6 = 24 cherry tomatoes.
Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.
I hope this has helped! :)
Answer:
He needs 84 cherry tomatoes.
Step-by-step explanation:
6 * 10 = 60 cherry tomatoes
6 * 4 = 24 cherry tomatoes
60 + 24 = 84 cherry tomatoes
Hope this helps!
help for brainliest and good luck
18 is the correct answer
Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No
Answer:
No
Step-by-step explanation:
y = -2x + 5
4 = -2(-3) + 5 - Substitute both x and y
4 = 6 + 5 - Simplify
4 ≠ 11
Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5
A landowner recently sold a large plot of land. The sale decreased his total acreage by 12%. Let v be the original acreage.
a. Write two equivalent expressions that represent the new acreage.
Answer:
.88v or [tex]\frac{22}{50}[/tex]v
Step-by-step explanation:
Answer:
Step-by-step explanation:
Link is needed
HELPPP!!! WILL MARK BRAINLIEST!!!
Graphing Asymptotes for Rational Functions
Two copies of the same Rational Functions are shown below.
On the graph on the left, draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath.
On the graph on the right, draw the Vertical Asymptote and write the equation for the Vertical Asymptote underneath.
Answer:
Horizontal Asymptote: y=2
Vertical Asymptote: x=3
Step-by-step explanation:
One way: Look at graph
Look at for a horizontal or vertical line that both lines don't touch.
Second Way:
When you look for vertical asymptotes, you set the denominator equal to zero and solve.
For example, the second question has a denominator of x-3.
x-3=0
x=3 (This is the vertical asymptote)
When you look for horizontal asymptote, you do long division.
For example, the first question [tex]f(x)=\frac{2x}{x-3}[/tex]
The answer will be 2. 2 is the quotient. You only want quotient not remainder.
y=2.
Consider the following two loans for P=$12,000.
Loan A: 5 year loan, annual interest rate of 5%.
Loan B: 3 year loan, annual interest rate of 8%.
Answer:
Simple interest-?
Step-by-step explanation:
P= 12000
T=5yrs
R=5%
Now,
Simple interest - PTR/100
= 12000*5*5/100
= $3000
Again,
P=12000
T=3yrs
R=8%
Now,
Simple interest - PTR/100
= 12000*3*8/100
= $2880
Hope this helps.
pls solve the photo?
Answer:
8. B
9. D
Step-by-step explanation:
I think this is right if I'm not mistaken ..
Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3.
9514 1404 393
Answer:
p(x) = 3(x -2)^4(x +2) . . . in factored form
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96 . . . in standard form
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.
p(x) = 3(x -2)^4(x -(-2))
= 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)
= 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)
= 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96
Jenna buys an item with a normal price of $70, and uses a 40% off coupon.
Answer:
Jenna paid $42.00
Step-by-step explanation:
$70-40%=28.00
70-28=42
Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
it will be 4 because it can't share it's vertex ✌
Solve the inequality for z-9< 15. Simplify your answer as much as possible.
Answer:
z < 24
Step-by-step explanation: