A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.
Answers
Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x
Table 1:
y = k × x
30 = k × 5
30 = 5k
k = 30/5
k = 6
So,
y = 30
y = 30 k = 6
y = 30 k = 6x = 5
y = 30 k = 6x = 5Equation: y = 6x
y = k × x
y = 10 × 8
y = 80
So,
y = 80
y = 80 k = 10
y = 80 k = 10x = 8
y = 80 k = 10x = 8Equation: y = 10x
y = 3x
18 = 3x
x = 18/3
x = 6
So,
y = 18
y = 18k = 3
y = 18k = 3x = 6
y = 18k = 3x = 6Equation: y = 3x
y = 2x²
72 = 2x²
x² = 72/2
x² = 36
x = √36
x = 6
So,
y = 72
y = 72k = 2
y = 72k = 2x = 6
y = 72k = 2x = 6Equation: y = 2x²
Table 2:
y = k/x
5 = k/6
5 × 6 = k
30 = k
So,
y = 5
y = 5k = 30
y = 5k = 30x = 6
y = 5k = 30x = 6Equation: y = 30/x
y = k/x
y = 36/4
y = 9
So,
y = 9
y = 9k = 36
y = 9k = 36x = 4
y = 9k = 36x = 4Equation: y = 36/x
y = 60/x
20 = 60/x
20x = 60
x = 60/20
x = 3
So,
y = 20
y = 20k = 60
y = 20k = 60x = 3
y = 20k = 60x = 3Equation: y = 60/x
y = 24/x
y = 24/12
y = 2
So,
y = 2
y = 2k = 24
y = 2k = 24x = 12
y = 2k = 24x = 12Equation: y = 24/x
Read more:
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Related Questions
What is the answer to n?
Answers
Answer:
n = 108
Step-by-step explanation:
The three medians of a triangle intersect at the same point inside the triangle.
The segment from a vertex to the point in the center is 2 times as long as the
other part of the median line. So OC is 2 times KC.
KC =108
OC = 2(108)
2n + 10 = 216
2n = 206
n = 108
In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
What is median of a triangle?" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."
Property used
Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.
According to the question,
Given,
In ΔABC,
BL, AM, CK are the medians of a triangle ABC.
'O' represents the Centroid
[tex]KC = 108\\\\OC = 2n +10[/tex]
Ratio of [tex]KC : OC = 3: 2[/tex]
Substitute the value of KC and OC we get,
[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]
Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
Learn more about median of a triangle here
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Given trapezoid WXYZ, what is XY?
Answers
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16
I need help to divide fractions
BTW I'm in 5th grade
Answers
Like terms can be ________
this is fill - up question
Answers
Answer:
.the same variables and same powers
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
HOPE IT HELPS...............
What’s the range of = 1 2 ⋅ 2 + 6 + 6
Answers
Answer: the range of 12 * 2 + 6 + 6 is 36
Step-by-step explanation:
test ill give brainlist
Subtract.
7/8−4/8
Answers
Step-by-step explanation:
7/8 - 4/8.....find the common denominator
(7-4)/8 .....the common denominator is 8
3/8
hope this helps
Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old
Answers
Answer:13 years,1 month, and 29 days
Step-by-step explanation:
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 212 years?
Round your answer to the nearest cent.
Answers
Answer:
Answer:it's 654.06I just did the test
Step-by-step explanation:
Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.
Answers
pa brainliest answer po
How many factors of 2 are there in 2³? answers> 1 2 3 5
Answers
Answer:
2
Step-by-step explanation:
2^3= 2*2*2
factors of 8= 1,2,4,8
factors of 2= 1,2
make v the subject of the formula t=4v+3
Answers
Step-by-step explanation:
t=4v+3
t-3=4v
(t-3)/4=v
hope this helps you.
Which expression simplifies to 5√3?
Answers
Answer:
C.
[tex] \sqrt{75} [/tex]
Step-by-step explanation:
You can just enter it in the calculator to see which is equal to
[tex]5 \sqrt{3} [/tex]
Find the slope of the line
Answers
Slope is rise/run
So if you count the rise and run between two point on the graph you will know:)
It is negative because the line is heading down
find the nth term in the following sequesnce: 1, 3, 9, 27
Answers
Answer:81
Step-by-step explanation: it is skip by 3x so 21 x3 = 81
:)
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths
Answers
Answer:
y = 1/5x + 12/5
Step-by-step explanation:
First find the slope of the given line
m = ( y2-y1)/(x2-x1)
m =( -3- -4)/(0- -5)
(-3+4) /(0+5)
1/5
Parallel lines have the same slope
Using point slope form of a line
y-y1 = m(x-x1)
y - 2 = 1/5(x--2)
y -2 = 1/5(x+2)
Distribute
y-2 = 1/5x +2/5
Add 2 to each side
y-2+2 = 1/5x + 2/5 + 2
y = 1/5x + 2/5 + 10/5
y = 1/5x + 12/5
Answer:
B. y = 1/5x + 12/5
What is p^m multiplied by p^n equal to?
Answers
Step-by-step explanation:
p^m × p^n .....since the base is the same, add the powers
p^(m + n)
p^m + n
2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80
Answers
Answer: Her total amount is $964.80
1928
Step-by-step explanation:
964+964 once s
help asap for brainlist
Answers
Answer:
l=A/W
Step-by-step explanation:
Example:
Area = 500 m^2
w= 10m
L= Area/ W
L=500/10
L=50
To check this
A= L*W
500=50*10
Explanation: if your finding length you just have to get L by itself so you would divide by w to get w on the other side which would get you A divided by w
Math help because I forget
Answers
Answer:
R.I.P
Step-by-step explanation:
goodluck doing that
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answers
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?
Answers
Opps, forget to add picture. 6 minutes left. Pls help, thank you!
Answers
Answer:
I don't know sorry please forgive me
Answer:
D
Step-by-step explanation:
mean is 11.25 and midian is 10.50
Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
Answers
Multiply it by the number of cubes present
125 • 5 = 625
Assuming that none of the metal is taken off, the volume of the sphere should me 625 cm^3
y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.
Answers
Answer:
y = 32/2.5
Step-by-step explanation:
formula:
y=kx
k = y/x
k= 4/2.5
so this is k
y = 4/2.5 x
y = 4 / 2.5 × 8
y = 32/2.5
answer.) y = 32/2.5
hope it was helpful
thank you
Find the slope of the line that passes through the point (-3,20), (12,15)
Answers
Can you please help me
Answers
Answer:
11
Step-by-step explanation:
please help i dont understand this!
Answers
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Step-by-step explanation:
The top line is the payment amount.
The bottom line is the 2% fee.
Let's do the middle columns first.
For any payment amount, the fee is 2%.
To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.
2% as a decimal is 0.02
To find 2% of a number, multiply 0.02 by the number.
The second column has payment amount of $23.50
We need to find 2% of $23.50
2% of $23.50 = 0.02 × $23.50 = $0.47
The third column has payment amount of $64.00
We need to find 2% of $64.00
2% of $64.00 = 0.02 × $64.00 = $1.28
Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.
Let the amount be x.
The fee is 2% of x, so the fee is
0.02x
We set the expression equal to the actual fee and solve for x.
The first column has a fee of $0.25
0.02x = $0.25
x = $0.25/0.02
x = $12.50
The 4th column has a fee of $1.64
0.02x = $1.64
x = $1.64/0.02
x = $82
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52
Answers
Answer:
C ( 2.8 x 13 = 0.7 x 52)
Step-by-step explanation:
2.8 x 13 = 36.4
0.7 x 52 = 36.4
36.4 = 36.4
Answer:
Answer : 36.4
Step-by-step explanation:
thanks pi sa points uwu
What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?
Answers
-4 opposite and reciprocal = 1/4
Y = 1/4x + b
Plug in point
-3 = 1/4(8) + b
-3 = 2 + b, b = -5
Solution: y = 1/4x - 5
Find the 75th term of the following arithmetic sequence.
2, 8, 14, 20,
..
Answers
Answer:
The 75th term is 446
Step-by-step explanation:
Using the explict formula you get an=6n-4
you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446
Answer:
446 is the 75th term
Step-by-step explanation:
This sequence increases by 6
2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446
