Let (x,y) be an arbitrary point on the circle.
Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]
Since x2 + y2 = 1, y2 = 1-x2.
So, d = √[x2 - 6x + 9 + 1 - x2]
d = √(-6x+10)
Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.
But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).
Domain = [-1,1]
Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6
16 ≥ -6x+10 ≥ 4
4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4
Range: [2,4]
Step-by-step explanation:
) Multiply (x − 4)(x2 − 5x − 6). x3 − 9x2 + 14x + 24 x3 − x2 + 26x + 24 x3 − 5x2 + 10x + 24 x3 − 15x2 + 20x + 24 Question 10(Multiple Choice Worth 6 points) (01.03 MC) Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24
9514 1404 393
Answer:
A. x^3 − 9x^2 + 14^x + 24
Step-by-step explanation:
(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)
= x^3 -5x^2 -6x -4x^2 +20x +24
= x^3 +x^2(-5-4) +x(-6+20) +24
= x^3 − 9x^2 + 14x + 24 . . . . matches the first choice
Answer:
The other person is right it is "x^3 − 9x^2 + 14x + 24"
Step-by-step explanation:
They showed their work so i felt like u could just look at theirs!!!
Xoxo
A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.
Answer:
n = (1/9)u
Step-by-step explanation:
This is a direct variation relationship of the form
n = ku
For n = 2, u = 18.
2 = k * 18
We solve for k.
k = 2/18
k = 1/9
Now we use k in the equation of the relationship.
n = (1/9)u
100 writen as a perfect square
Answer:
10^2.
Step-by-step explanation:
100 is a perfect square of 10.
sqrt (100)
= 10.
Hope this helped!
Find the volume of the solid. *
7)
Answer:
B
Step-by-step explanation:
The volume (V) is calculated as
V = area of triangular face × depth
Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 3 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 Km²
Now depth = 2, thus
V = 6 × 2 = 12 Km³ → B
rewrite in simplest terms. 8(-5d-9) -3(-6d+10)
Answer:
− 22 d − 102
Step-by-step explanation:
HELP ON MATH PLS ASAP HELP HELP HELP.
Answer:
n>-15 or c
Step-by-step explanation:
Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone service costs the same amount each month. How much did she withdraw from her account each month to pay for the services?
Answer:
45.75
Step-by-step explanation:
you divided 274.50 by 6 and get the answer
The drop down option for the least minimum is k,g,f,h & the maximum options are h,g,k,f
1 is the answer OR h
What do the slope and y-intercept of a real-world linear function represent?
Answer:
Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.
Step-by-step explanation:
Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How
many pieces of fruit were in the bag to start?
A. f: 4 = 12
B. 12 - 4 = f
C. 12 : f= 4
D. f-4 = 12
E. 4 + f = 12
F. 12 + f = 4
Answer:
D. f-4=12
Step-by-step explanation:
total fruits (f)
took 4
12 remained
taken + remainder = initial total
4 + 12 = f
f = 12 -4
Round 6.1 to the nearest whole number.
Answer:
6
Step-by-step explanation:
It would only be 7 if it was 6.5 or higher so if it's 6.4 or less it'll always go back one so 6.
Whole number: Exact nuumber with no decimals such as: 1,2,3,4,5...
Answer:
6
Step-by-step explanation:
1, 2, 3, 4, slide to the floor,
5, 6, 7, 8, 9, climb the vine.
A car-rental agency charges $29.00 per day plus $0.25 for each mile driven. How many miles did Roberto drive if he paid $52.00 total for the rental car for one day?
Answer:
The below T&Cs (including prices and taxes) are provided by Hertz and may change ... Additional Drivers: $13.50* per day/driver (at most locations) capped at $189.00* per rental/driver; Extra miles (if your rental has limited mileage, each additional mile over the limit will ... It is illegal to drive in the US without car insurance.
Step-by-step explanation:
Plz help jfkdjdjdjdjd
Answer:
12
Step-by-step explanation:
MARK BRAINLIEST plz
four times a number is greater then 48. what are the possible values for the number?
Any number that is 13 to Infinity
Any number greater then 12
Assume;
Given number = a
So,
Four times a number;
4 × a
4a
Greater then 48
So,
4a > 48
By solving inequality
a > 12
So,
Any number greater then 12 is the possible value
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Which of these improper fractions is between 4 and 5? How do I know. 13/3 13/4 13/5 13/6
13/3?
I think it is but so you put 13/3 into a proper fraction so 4 1/3
The improper fraction that lies between 4 and 5 given the values in the option is 13/3.
What are the improper fractions that lie between 4 and 5?Improper fractions are numbers in which the numerator are greater than the denominator. An example is 13/4.
In order to determine the answer, the improper fraction would be converted to mixed fractions.
13 /3 = 4 1/3 13 / 4 = 3 1/4 13/5 = 2 2/5 13/6 = 2 1/3To learn more about fractions, please check: https://brainly.com/question/25779356
"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
J + 15 = 3J - 1
3(J + 15) = J - 1
J + 15 = 3(J - 1)
J + 15 = 3(J - 1)
This is the answer.
⚠️⚠️PLEASE HELP!!!!!⚠️⚠️
For two weeks, the highest
temperature each day was
recorded in four different
cities. Lines l, m, n, and pare
graphs of the temperature
over time in Lubbock,
Memphis, New Orleans, and
Phoenix. Which statement is
true?
m
n
temperature (degrees)
p
time passed (days)
A. The high temperature in Lubbock increased as time passed.
B. The high temperature in Memphis decreased steadily.
C. Initially, the high temperature was warmer in Phoenix than in Memphis.
D. The high temperature in Phoenix rose faster than the temperature in New Orleans.
Answer: B : The high temperature in Memphis decreased steadily.
Step-by-step explanation:
5) 6x + 5y =-15
Need help it’s writing linear equations!!
Answer:
the Slope is -6/5 and y is (0,-3)
Step-by-step explanation:
we need to put this equation in y = mx + b
6x - 5y = -15 u will subtract 6x from both sides
5y = -6x -15...divide both sides by 5
and then simplify
y = -6/5x - 3
and when u graph its will be (0,-3)
ur slope(m) = -6/5 and ur y int (b) = -3
SOMEONE HELP ME PLEASE
6
Step-by-step explanation:
here,
4x +2=15x-64
64+2=15x-4x
66=11x
x=66/11
x=6
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by factor of 4?
Answer:
88 hours
Step-by-step explanation:
Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, we are simply going to increase the work hours by a factor of 4
Increasing the work hours by a factor of 4 will yield 22 * 4 = 88 hours
So it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4
Nina can stitch 3 of a dress in 4 hours. If drepresents the number of dresses and h represents the number of hours, which equation
represents this proportional relationship?
OA d=6
B.
3d=4h
oc. d = 13h
D.
d=4
OE. d=12
Answer:
C. d= 1/6h
Step-by-step explanation:
2/3 dress in 4 hours
We need to find out how much of a dress can be finished per hour.
2/3 /4 = 2/12
2/12 ---> 1/6
d= 1/6h
Brainliest is much appreciated!
Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3. If Laney ran 36 laps, how many laps did Mason run?
I need the fast plz
Please help ASAP:) is really need some help!
Answer:
correct answer is
b
HL congruence
Answer:
B
Step-by-step explanation:
BRAINLIEST PLS
7th grade advanced, please help!!
Answer:Company B 12.72
Step-by-step explanation:
35/2.75=12.72
32.50/2.5=13
You divide them so you get the price per one pound.
Hope this helps!!!!
Answer:
Company B offers the lowest price per pound of 12.72
Step-by-step explanation:
Unit Price
Given a product that costs X dollars and has Y pounds, the unit price is given by X/Y dollars per pound.
Elle is comparing prices to purchase candy online. Company A offers 2 1/2 pounds of chocolate for $32.50 and Company B offers 2 3/4 pounds of chocolate for $35.00.
The offer of Company A is for 2 1/2 pounds = 2.5 pounds
The offer of Company B is for 2 3/4 pounds = 2.75 pounds
The unit price for Company A is $32,50/2.5 = $13/pound
The unit price for Company B is $35,00/2.75 = $12.72/pound
Company B offers the lowest price per pound of 12.72
−2 + x ≤ −16 a closed or open circle?
Answer:
Closed circle
Step-by-step explanation:
If the sign is less than or equal too/greater than or equal too the circle will be closed
Answer:
closed
Step-by-step explanation:
use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".
The width of a rectangle is 1/4 its length. The perimeter of the rectangle is 375 ft. What is the length, in feet, of the rectangle?
Answer:
Required Answer:-Let
[tex]\sf length=x [/tex]
[tex]\sf Breadth={\dfrac {x}{4}}[/tex]
As we know that in a rectangle
[tex]{\boxed{\sf Perimeter=2 (l+b)}}[/tex]
Substitute the values[tex]{:}\longrightarrow\sf 2 \left (x+{\dfrac {x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf 2 \left({\dfrac {4x+x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf 2 \left({\dfrac {5x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf {\dfrac {10x}{4}}=375 [/tex]
[tex]{:}\longrightarrow\sf 10x=4×375 [/tex]
[tex]{:}\longrightarrow\sf 10x=1500 [/tex]
[tex]{:}\longrightarrow\sf x={\dfrac {1500}{10}}[/tex]
[tex]{:}\longrightarrow\sf x=150[/tex]
[tex]\therefore[/tex]Length =150feet
What is the domain and range please?
The Kennedy Middle School cafeteria charges students $3 for 1 6 of a pizza. What is the cost per pizza? I need to know ASAP!!!
Answer:
18 dollars
Step-by-step explanation:
Six sixths in one. six times three equals eighteen.
If correct, please mark brainliest!
How are y'all doing today?
Answer:
goooooooooooooooooood
Step-by-step explanation:and you?
Answer:
Great!
Step-by-step explanation:
But in the future please only post questions, since this is a homework site.
The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
52.5
Step-by-step explanation:
I don't trust myself but that's what I belive
The time taken is 52.5 seconds to assemble 20 pizza boxes if the fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.
The rate of assemble = 21/8 seconds per pizza
The time is taken to assemble 20 pizza boxes:
= (21/8)x20
= 420/8
= 52.5 seconds
Thus, the time taken is 52.5 seconds to assemble 20 pizza boxes if the fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.
Learn more about the fraction here:
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