The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.
y= — x
Answers
Given:
The graph of a proportional relationship contains the point (8,4).
To find:
The corresponding equation.
Solution:
If y in directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
The graph of a proportional relationship contains the point (8,4).
Putting x=8 and y=4 in (i), we get
[tex]4=k(8)[/tex]
[tex]\dfrac{4}{8}=k[/tex]
[tex]\dfrac{1}{2}=k[/tex]
Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\dfrac{1}{2}x[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].
Related Questions
combine like terms and order
a + 3a + 4a³ + 6a² + 2a + 9a³
Answers
Answer:
6a+6a²+13a³
Step-by-step explanation:
Collect the like terms
a+3a+2a
4a³+9a³
Solve the equation. You may find using algebra tiles to be helpful.
3n − 2 = 7
Answers
Answer: i believe you're trying to find N, if so N=3
Step-by-step explanation:
you would start by adding +2 to each side of the equation, leaving you with 3n=9
you would then divide each side by 3, which gives you N=3
Find d.
(Please explain why it is the answer you picked, I’m having a hard time understanding, my teacher gives us lessons to teach ourselves but I don’t even know how to start)
Answers
Answer:
i dont know if its right since i havent done trig in ages but
[tex]3 \sqrt{3} [/tex]
Step-by-step explanation:
tan(30)x9?
put the opposite angle inside the () since were doing toa which is tan(sin)=opposite/adj
so if we rearrange the formula to make opposite the subjects its
opposite=tan x adj
this is probably wrong so u might want to check with someone else
WILL GIVE 50 BRAINLY POINTS!!
PLEASEEE HELPPP ASAAPP WILL
Which equation justifies why ten to the one third power equals the cube root of ten?
A. to the one third power all raised to the third power equals ten to the one third plus three power equals ten
B. ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
C. ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
D. ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten
Answers
Answer:
B. (10^1/3)³ = 10 ^(1/3×3) =10
Step-by-step explanation:
I took the test on FLVS
Answer:
B
Step-by-step explanation:
1 1/2 divided by 2 1/4
Answers
= 3/2 : 9/4
= 3/2 x 4/9
= 2/3
Danielle and Michelle visited a candy shop. Danielle bought 10 pounds of strawberry taffy and 1 pound of banana taffy for $46. Michelle bough 1 pound of strawberry taffy and 1 pound of banana taffy for $10. How much does each type of taffy cost?
Answers
Answer:
Banana Taffy: $6.00
Strawberry Taffy: $4.00
Step-by-step explanation:
$46 → $40 + $6
$40/10 = $4
$4 + $6 = $10
5 STARS 20 foot ladder is leaning against the side of a building the bottom of the ladder is 4 feet from the wall the bottom of the ladder is 4 feet from the wall how many feet above the ground does the ladder touch the wall
Answers
Answer:
400
The ladder is the hypotenuse of a right triangle. The 2 feet from the wall on the ground is one side, the distance up the wall is another side.
In a right triangle, the square of the hypotenuse is the sum of the squares of the other two sides. This is called the Pythagorean Theorem. In equation form:
c^2 = a^2 + b^2
Substitute the known values:
20^2 = 2^2 + b^2
Square the numbers:
400 = 4 + b^2
Subtract 4 from both sides:
b^2 = 400 - 4 = 396
Take the square root:
b = sqrt(396) = 19.9 (rounded) feet
Check:
20^2 ?= 2^2 + 19.9^2
400 ?= 4 + 396.01
400 ?= 400.01 (off just a bit due to rounding)
The coordinates of the vertices of △ABC and its image after a transformation are
shown below.
△ABC: A (2, 1), B (4, 2), C (3, 5)
△A,B,C,: A, (22, 1), B, (0, 2), C, (21, 5)
Describe the difference in the x-values and the y-values of the corresponding vertices. What transformation produced △A,B,C
Answers
Answer:
they don't have the same number at the beginning of that number
Step-by-step explanation:
PLEASE HELP ME OUT!!!!!!!
Answers
Answer:
2nd one
Step-by-step explanation:
Answer:
5y=45 if y=9
Step-by-step explanation:
5y=45 if y=9
5(9)=45
45=45
There are 63 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are red. Based on experimental probability, there is a 1 in 7 chance of pulling out a blue marble. About how many blue marbles might be in the entire bag?
Group of answer choices
7 blue marbles
13 blue marbles
9 blue marbles
6 blue marbles
Answers
Answer:9
Step-by-step explanation:1/7 of 63 =9
A circle has a diameter of 5 ft. What is the circumference of the circle? Round to nearest hundreth
Answers
Answer:
15.70
Step-by-step explanation:
[tex]5 \times 3.14 = 15.70[/tex]
Answer:
[tex]15.71ft[/tex]
Step-by-step explanation:
C=2πr
d=2r
Solving for C
[tex]c = \pi \: d \: = \pi \: \: .5 \: = 15.70796[/tex]
Hope it helps you ..
Is this the answer to this question i need help
Answers
Answer:
No, A is
Step-by-step explanation:
You can tell by plugging in the numbers. 0 - 3(0) < 1 as 0 < 1.
============================================================
Explanation:
Let's check if choice C is the answer or not
We will plug in x = -2 and y = 1 into the inequality to get
y - 3x < 1
1 - 3(-2) < 1
1 + 6 < 1
7 < 1
That's a false statement since 7 is not smaller than 1. This means the first inequality is false when (x,y) = (-2,1). So we can rule out choice C. Choices B and D are similar stories.
---------------
It turns out that choice A is the answer because
y - 3x < 1
0 - 3(0) < 1
0 - 0 < 1
0 < 1
Which is a true statement. So (x,y) = (0,0) is one solution to this inequality.
I'll let you check the other answer choices. You should find them to be false
My son has an assignment, and he doesn't know what
l-3l means. Can someone explain what it is?
Answers
Hope this helps.
CAN SOMEONE HELP ME PLEASE
Answers
Answer
I think the answer is 5x^4
I want to put a ribbon trim around. my favorite circular rug. The rug has a radius of 4.5 meters. How long will the ribbon trim be? Hint: Find the circumference.
Answers
Answer:
14.13
Step-by-step explanation:
4.5x3.14=14.13
simplify 15 divided by 3 + 2 x 10
Answers
Answer:
5 + 20x
Step-by-step explanation:
Hey! Hope this helps!
Have a nice day♥
2x10= 20+3=23 divide 15 and 23 is .6 round the .6 to 1 your answer is 1
Please help if you can’t see the photo the problem is
.5/1 = x/1.2+x
Answers
Answer:
x= 30/11
11x=30
Step-by-step explanation:
What is 0.27 written as a fraction? (A 27 100 B 27 99 c 2 7 D 277 999 քʟs ɦɛʟք asaք aռɖ tʏ
Answers
Answer:
27/100 because if u write the decimal out in word form it's 27 hundredths and its the same thing if u write 27/100 in word form
These two triangles are congruent. Which side of triangle PQR is the same length as AB?
RP or PR
QR or RQ
PQ or QP
Answers
Answer:
QR OR RQ
,,,,,,,,,,,,,,,,,
Let f(x) = 5x – 4 and g(x) = x² – 1. Find each value.
(gºf)(-1)
(fºg)(2)
(gºf)(0)
f(g(16)
f(g(0))
g(f(4/5))
Answers
Answer:
35.) 80
36.) 11
37.) 15
38.) 21
39.) -9
40.) -1
Step-by-step explanation:
In simplified terms the question is asking
35.) g(f(-1)) =
g(-9) = 80
36.) f(g(2)) =
f(3) = 11
37.) g(f(0)) =
g(-4) = 15
38.) f(g(root6)) =
f(5) = 21
39.) f(g(0)) =
f(-1) = -9
40.) g(f(4/5)) =
g(0) = -1
can you let me know asap
Answers
Answer:
Y + 2
Step-by-step explanation:
Answer:
f(n)=0*2
Step-by-step explanation:
f(n) could be f(x), but f(n) makes more sense.
i hope this help, i'm learning this in school still :)
The diameter of a circle is? So what does diameter mean?
Answers
Answer:
Its 2 x radius
Step-by-step explanation:
Answer:
Twice the radius length.
Step-by-step explanation:
Generally, the diameter is the length of a line that extends from one point on a circle to another point on a circle as long as that line passes through the center of the circle. Essentially, a diameter, in short, is twice the length of the radius of a circle.
What is the slope of the line shown below?
A. -3
B.-6
C.6
D. 3
Answers
Answer:
D.3
Step-by-step explanation:
We are going to use the Slope Formula --> (y2-y1)/(x2-x1)
(9-3)/(3-1)=6/2=3
How many sides does a polygon have if each interior angle is 150 degrees?
Answers
help please ............
Answers
PLEASE HELP DUE VERY SOON!
Answers
Answer:
Yes. (see below)
Step-by-step explanation:
First, find the slope of the line. You can do that by using the slope formula:
y2 - y1
m = ----------
x2 - x1
Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).
4 - 3
m = ------
2 - 0
1
m = --- = 1/2
2
Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.
The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.
Now, plug them in:
y = mx + b
y = 1/2x + 3
To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:
13 = 1/2 (20) + 3
13 = 10 + 3
13 = 13
This is true, so the point (20, 13) is on this line.
Select the expression equivalent to (4.8x−7)+(−3.8+1.2x)
Answers
Answer:
The answer is 6x−10.8 simplified
Step-by-step explanation:
Find the solution to the system: x=2y-7 and 4x+y=71
Answers
8y-28+y=71
9y=71+28
y=99/9
So y=11
Again putting value of y in first equation
x=2*11-7
x=22-7
x=15
So value if x is 15 and y is 11
Soybeans have a conversion factor of 36.744 (bu/t). How much do 45 bushels weigh?
Answers
Answer:
the weight of 45 bushels is 1.22
Step-by-step explanation:
The computation is shown below:
As the soybeans has the conversion factor of 36.744
So the weight of 45 bushels be
= 45 ÷ 36.744
= 1.22
hence, the weight of 45 bushels is 1.22
The relationship between the intensity of sound((w)/(m^(2)))and the distance from the source of sound is represented by the equation (i)=((k)/(d^(2))).If you sit only one meter away from the stage at a rock concert the intensity of sound is about 0.1(w)/(m^(2)). If vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)) how close to the stage can she sit?
Answers
Answer:
10 m
Step-by-step explanation:
We are given that the relationship between intensity of sound and distance from the source is given by
Intensity (I)=[tex]\frac{k}{d^2}[/tex]
Where I=Intensity
d=Distance of sound from the source
If distance d=1m
Intensity, I=0.1[tex]w/m^2[/tex]
We have to find how close she can to the stage if vanessa does not want the sound intensity to be more than 0.001(w)/(m^(2)).
Using the formula
[tex]0.1=\frac{k}{1}[/tex]
[tex]k=0.1[/tex]
[tex]\frac{0.1}{d^2}\leq 0.001[/tex]
[tex]\frac{0.1}{0.001d^2}\leq 1[/tex]
[tex]\frac{0.1}{0.001}\leq d^2[/tex]
[tex]100\leq d^2[/tex]
[tex]10\leq d[/tex]
[tex]d=10 m[/tex]
Hence, she can sit 10 m away from the stage.