Answer:
x/4=2
Since it's not said, the number represent a variable which we'll write as "x". The word "is" means "equals".
A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order of preference. A matching is defined as the separation of the students into two disjoint pairs. A matching is stable if no two separated students prefer each other to their current roommates. Does a stable matching always exist
Answer:
Each student ranks the other three in strict order of preference.
Step-by-step explanation:
When 4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.
a jogger runs 218 meters eastward then 72 meters westard then 62 meters eastward and finally 184 meters westward. For this motion what is the distance moved
Answer:
Total distance = 536 m
Total displacement = 24 m
Step-by-step explanation:
Distance and Displacement
A moving object constantly travels for some distance at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:
dtotal=d1+d2+d3+...+dn
This sum is obtained independently of the direction the object moves.
The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.
For the question at hand, it's not known if the requirement is about the distance or the displacement, so we will compute both.
To compute the distance, we just add all the distances:
dtotal= 218 m + 72 m + 62 m + 184 m = 536 m
To compute the displacement, we must establish a positive direction as desired. Let's choose the east as the positive direction. Any movement eastward is considered positive and any movement westward is negative. We mentioned the displacement is a vector, but since we only have movement in the x-axis, we can only manage the signs. Thus, the total displacement is:
xtotal = 218 m - 72 m + 62 m -- 184 m = 24 m
Since the result is positive, the jogger stopped 24 meters eastward form the original point.
Question 4 of 10
At how many points does the graph of the function below intersect the x
axis?
y = 9x2 - 12x+4
A. 1
B. 2
C. 0
Answer:A. 1
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
Determine the slope and y intercept. Y=3/2x+3
Slope: 3/2 (the coefficient of x)
Y-Intercept: (0,3) (substituting x = 0 into the equation)
Ans: Yellow
Slope of the line [tex]Y=\frac{3}{2} x+3[/tex] is [tex]\frac{3}{2}[/tex] and the y intercept is [tex](0,3)[/tex].
We have equation of the line is[tex]Y=\frac{3}{2} x+3[/tex]
As the standard form of the equation is [tex]y=mx+b[/tex] where m is the slope.
Now, here [tex]m=\frac{3}{2}[/tex]
So slope of the line is [tex]\frac{3}{2}[/tex]
Now, for y intercept put x=0, we get
[tex]y=\frac{3}{2}0+3\\y=3[/tex]
So y intercept is (0,3).
Learn more:https://brainly.com/question/14008948
f(x)=x 2 −6x+3 g(x)= x−2 f ( g ( 11 ) ) = f(g(11))
Answer:
30
Step-by-step explanation:
g(11)= 11-2=9
f(9)= 9²-54+3= 30
What is 24-5d=d oooooooooooooooooooo
Answer:
d = 4
Step-by-step explanation:
24 - 5d = d
24 = 6d
24 / 6 = 4
d = 4
Hope this helps :)
Answer:
444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
Step-by-step explanation:
Samantha went to the store to buy cereal, milk and bread. The cereal cost $3.68. The milk cost $3.53 and the bread cost $2.14. If Samantha gave the clerk $10.00, how much change did she receive?
Answer:
$0.65
Step-by-step explanation:
The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35. If Samantha gave the clerk $10.00, she'd receive 65 cents back.
$10.00 - ($3.68 + $3.53 + $2.14) = $0.65
Write the equation of the line that has the slope m= –2 and contains the point P = (-1,6).
Equation:
What is the y-intercept b of this line?
Answer: b =
Step-by-step explanation:
Y = M X + C
6 = -2 × -1 + C
6 = 2 + C
6 - 2 = C
4 = C
Answer:
b = 8
Step-by-step explanation:
6 = 2(-1) + b
6 = -2 + b
8 = b
Solve for x.
9x+4≤58 or 16x−2>3
Enter your answer, including the inequality symbol, in the boxes.
Answer:
[tex]x\leq6\text{ or } x>30[/tex]
Step-by-step explanation:
We are given the compound inequality:
[tex]\displaystyle 9x+4\leq 58\text{ or } \frac{1}{6}x-2>3[/tex]
Note that this is an "or" inequality. In other words, we just have to solve each inequality individually and then combine the answers!
1)
We have:
[tex]9x+4\leq58[/tex]
Subtract 4 from both sides:
[tex]9x\leq54[/tex]
Divide both sides by 9:
[tex]x\leq6[/tex]
So, our first solution is all numbers less than or equal to 6.
2)
We have:
[tex]\displaystyle \frac{1}{6}x-2>3[/tex]
Add 2 to both sides:
[tex]\displaystyle \frac{1}{6}x>5[/tex]
To cancel out the fraction, let's multiply both sides by 6. So:
[tex]\displaystyle 6\left(\frac{1}{6}x\right)>6(5)[/tex]
The left side will cancel. Therefore:
[tex]x>30[/tex]
So, our second solution is all numbers greater than 30.
Therefore, our full solution will be:
[tex]x\leq6\text{ or } x>30[/tex]
And we're done!
Answer:
−8x−7y=96 (* 5)
−3x+5y=−25 (* 7)
-40x - 35y = 480
-21x + 35y = -175
=> -61x = 305
x = -305/61
x = -5
-3x + 5y = -25
-3 * (-5) + 5y = -25
5y = -40
y = -8 =>
x = -5
y = -8
9x+4≤58 or 16x−2>3
9x ≤ 54 or 16x > 5
x ≤ 6 or x > 5/16
-4x-7+7x-3 simplify
Answer:
3x - 10
Step-by-step explanation:
first set up the like variables next to each other
-4x + 7x - 7 - 3
Then, combine like variables
-4x + 7x = 3x
-7 - 3 = -10
The answer is:
3x - 10
Answer: 3x - 10
Step-by-step explanation:
To simplify you need to combine all like terms, and the only terms here are x terms and number ones, so you would combine those to have
3x - 10
7x - 4x
-7 -3
f(x)=-3(9+x) for x=7
Answer:
f(7)= -48
Step-by-step explanation:
Evaluate f(x)= -3(9+x) for x=7.
Substitute 7 for x in f(x)=-3(9+x), obtaining f(7)= -48
Solve. 9(4h - 6) = 2( -13 - 2h)
Answer: h= 7/10
Step-by-step explanation:
9(4h - 6 ) = 2(-13 - 2h) Distribute on both sides
9(4h) + 9(-6) = 2(-13) + 2(-2h)
36h - 54 = -26 - 4h Add 4h to both sides
+4h +4h
40h - 54 = -26 Add 54 to both sides
+54 +54
40h = 28 Divide both sides by 40
h = 7/10
Answer:
h= 7/10
Step 1: Remove the parentheses
9(4h - 6) = 2( -13 - 2h) = 36h-54= -26 -4h
Step 2: Move the terms
36h-54= -26 -4h = 36h+4= -26 + 54
Step 3: Calculate like terms
36h+4= -26 + 54 = 40h=28
Step 4: Divide both sides
40h=28 = h= 7/10
(In decimal form - h=0.7)
You created a playlist, and 100 of your friends listened to it and shared if they
liked it or not. Mario said the ratio of the number of people who liked the playlist
to the number of people who did not like the playlist is 75:25. Lila said that for
every three people who liked the playlist, one person did not. Do they agree? *
Answer:
its yes
Step-by-step explanation:
60 mi. = _______________ km
Answer:
96.5606
Step-by-step explanation:
I hope this helps :)
I will give brainliest answer
Answer:
4 right; 4 up
Step-by-step explanation:
The difference between the two points is ...
P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)
The translation is 4 units to the right and 4 units up.
Put these numbers in order from least to greatest,
4, 18/25,-6/24
the sum of 3 consecutive odd integers is 45 what are the three integers
Answer:
14, 15, 16
Step-by-step explanation:
45-2 The difference in integers, that way they're all the same number
43/3=14
14, 15, 16
A farmer's land is separated into sections of size 2 1/3 acres. Suppose there are 4 1/5 such sections. How many acres of land does the farmer own?
Write your answer as a mixed number in simplest form.
Step-by-step explanation:
[tex]2 \frac{1}{3} = \frac{7}{3} [/tex]
[tex]4 \frac{1}{5} = \frac{21}{5} [/tex]
[tex] \frac{7}{3} \times \frac{21}{5} = \frac{147}{15} = 9 \frac{12}{15} [/tex]
Question 5
2 pts
Bruce, Clark, and Diana found a box of old baseball cards in the attic. They sold 155
cards to a collector and then split the remaining cards equally among themselves.
Then, Bruce gave 1/5 cards to Evan. If Evan was given 7 cards, how many cards were
in the box when it was found? (Hint: Work Backwards)
Do not include the word "cards" with your response. Provide your answer as a
number, only
Answer:
190Step-by-step explanation:
Initial number of cards = c
Sold
155 cardsRemaining
r= c - 1551/5 of r = 7
r = 7*5 = 35Initial number:
c = r + 155 = 35 + 155 = 190having a little trouble help?
Answer:
x/5 - 7 = 8
Step-by-step explanation:
What are the three numbers greater than 418 but less then 600
Answer:
419, 420, 421
Step-by-step explanation:
Answer:
500, 550, 575
Step-by-step explanation:
Common sense
Someone can help me with this one please ?
Answer:
c
Step-by-step explanation:
the square root of 106 is 10.
29
Which set of angle measures could be the interior angles of a triangle?
OA. 15°, 48°, 27°
OB. 56°, 45°, 46°
OC. 42°, 84°, 64°
D. 93°, 29°, 58°
PLEASE HURRYYYYY
Answer:
C
Step-by-step explanation:
How many terms are in the expression 32abc + 17ab -14bc -5?
Hey there! I'm happy to help!
A term is anything in an expression that is added. If you see a - sign it is still a term it is just adding a negative number.
We are adding 32abc, 17ab, -14bc, and -5, so this is four total terms.
Have a wonderful day! :D
Solve the following inequality for x.
-26 + 13r + 2 > 2 – 13r
Hey there!
[tex]Answer:\boxed{r>1}[/tex]
[tex]-26+13r+2>2-13r[/tex]
Let's start by simplifying both sides of the inequality.
[tex]13r-24>-13r+2[/tex]
Now add 13r to both sides of the inequality.
[tex]13r-24+13r>-13r+2+13r\\26r-24>2[/tex]
Now add 24 to both sides of the inequality.
[tex]26r-24+24>2+24\\26r>26[/tex]
In our fourth/last step, we will divide both sides of the inequality by 26.
[tex]\frac{26r}{26}>\frac{26}{26}\\ r>1[/tex]
[tex]\boxed{r>1}\text{ is your final answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
The sum of three consecutive numbers is 123. What is the smallest of the three integers?
Answer:
40
Step-by-step explanation:
123 / 3 = 41, which will inevitably be at the center of the three numbers, so we have 40, 41 and 42
A stem and leaf plot shows data in order
someone pls help me with parts a and b!!
Answer:
Step-by-step explanation:
Donot give these stuff. Write it on a piece of paper thwn only send it. Im one of the brainlie's Assistant like i help people and teach them to do this or do that.
Answer:
Part a) 45 degrees
Part b) The image looks the same as the original, the vertices rotate around point M in three steps of 45 degrees each (see attached image)
Step-by-step explanation:
Part a)
Notice that since this is a regular figure with 8 sides, in order to find the angle subtended by each, we divide 360 degrees into 8 parts, and that gives us a measure of : 360 / 8 = 45 degrees
So each angle measures 45 degrees, and also the requested angle AMB
m AMB = 45 degrees.
Part b)
Notice that a rotation of 135 degrees is equivalent to 3 rotations of 45 degrees, since 45 x 3 = 135
Then as we rotate the image around the center M in 3 chunks of 45 degrees, we are going to end up in a figure that looks exactly like the original one, but the only thing is that we see the names of the vertex in different positions. Vertex A goes now to where vertex F was. Vertex B goes to where vertex G was, etc. Please see attached imagewhere the new vertex are denoted in red.
4. What is the value of 3 - 14?
A. 17
B. 11
C. -11
D. -17
Answer:
c!
Step-by-step explanation:
Answer:
D. -11
Step-by-step explanation:
Imagine 14-3, and that gets you 11, but this is 3-14, so it would be the negative of that number
Given f(x)=13(4−x)2, what is the value of f(16)?
Answer:
1872
Step-by-step explanation:
Plug is 16 for x
f(x)=13(4−x)^2
f(16)=13(4−16)^2
f(16)=13(-12)^2
-12^2=144
f(16)=13(144)
f(16)=1872
Hope this helps! Plz award Brainliest : )
The value of function f(x)= 13(4 - x)² at x= 16 is 1872.
To find the value of f(16), we substitute x = 16 into the expression for f(x) and evaluate it.
f(x) = 13(4 - x)²
Substituting x = 16:
f(16) = 13(4 - 16)²
Now, let's calculate:
f(16) = 13(-12)²
= 13(144)
= 1872
Therefore, the value of f(16) is 1872.
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