Answers
Answer:
a) not proportional
b) proportional; k = [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Related Questions
Complete the equation describing how c and y are related
Answers
Y = 2x + 7
Step by step:
With x = 0 and y = 7, you can complete half the equation, y = ?x + 7
Then for the other values in the table, find the relation between x and y, subtracting 7 from y.
x = 2, y = 11-7
x = 3, y = 13-7
Y is double the value of x, so the equation can be completed now as y = 2x + 7
Describe how you would evaluate this algebraic
expression: 7-2m when m=2
Answers
Answer:
Step-by-step explanation:
Just plug in
7 - 2(2) = 3
Answer:
3
Step-by-step explanation:
By substituting m for 2, you would get:
7 - 2(2) =
7 - 4 = 3
Find the difference.
4-(-8)=
Answers
Answer:
4
Step-by-step explanation:
subtract negative 4 by negative 8
A book has 244 pages. Theo has read 81 pages so far. About what percent
of the book has Theo read?
A. 82%
B. 66%
C. 50%
D. 33%
Answers
Answer:
33%
Step-by-step explanation:
81 pages ÷244 pages ×100=33%
Answer:
D. 33% (rounded)
The Crews family went on a day trip to Nashville. For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65. For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77. How many adults and how many children were on the trip?
Answers
Answer:
Number of adult were on the trip = 4
Number of child were on the trip = 7
Step-by-step explanation:
Let the Number of adult were on the trip = x
Let the Number of child were on the trip = y
As given,
For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65.
⇒7.50x + 5y = 65 ...........(1)
Also,
For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77.
⇒10.50x + 5y = 77 ...........(2)
Now,
Subtract equation (2) from equation (1) , we get
10.50x + 5y - ( 7.50x + 5y ) = 77 - 65
⇒10.50x + 5y - 7.50x - 5y = 12
⇒10.50x - 7.50x = 12
⇒3x = 12
⇒x = [tex]\frac{12}{3}[/tex] = 4
⇒x = 4
Now,
Put the value of x in equation (2) , we get
10.50(4) + 5y = 77
⇒42 + 5y = 77
⇒5y = 77 - 42
⇒5y = 35
⇒y = [tex]\frac{35}{5}[/tex] = 7
⇒y = 7
∴ we get
Number of adult were on the trip = x = 4
Number of child were on the trip = y = 7
What is the distance from J to K?
Answers
Answer:
A. 13 units is the answer
pls subscribe my channel
https://youtu.be/RTFkRTT0EUY
Answer:
13 Units
Step-by-step explanation:
What is the slope of this graph
Answers
Answer: positive I think
Step-by-step explanation:
In a brochure about an outdoor wilderness camp, the yearly attendance is rounded to 28,000 students.
Which could be the number of students who attended the camp if the attendance was rounded to the
nearest thousand?
Choose all answers that apply:
А
28,620
B
27.500
28.350
Answers
Answer:
B) 27,500
Looks like the decimal points in your question are a typo and should be commas... ;) If so, the answer is B
What is 54/100 as a percentage
Answers
Answer:
54%
Step-by-step explanation:
Sorry, I don't really know how to explain this.
Hope this helps!
Maybe braniliest?
Answer: 54%
Explanation: A percent is a ratio that compares a number to 100.
So we can write 54/100 as 54%.
ansition Mrs. Tucker had taught school 24 years. Mr. Tucker realized that her number of years teaching was a multiple of Mr Glover's number of years teaching. Find all the number of years that Mr. Tucker could have taught
Answers
Answer:
Your question isn't full ?ansition?
Step-by-step explanation:
if tantheta -cottheta =a and costheta +sintheta =b then 4b^2(2-b^2)
Answers
Answer:
= 4(1+sin2theta)²
Step-by-step explanation:
Given the equations
tantheta -cottheta =a... 1
costheta +sintheta =b .... 2
We are to find 4b^2(2-b^2)
Squaring both sides of equation 2
(costheta +sintheta)^2 = b^2
cos^2theta + 2costheta sintheta + sin^2 theta = b^2
(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2
1 + 2costheta sintheta = b^2
1 + sin2theta = b^2
substitute
4b^2(2-b^2)
= 4(1+sin2theta)(2-1+sin2theta)
4(1+sin2theta)(1+sin2theta)
= 4(1+sin2theta)²
Solve.
sec 315 degrees
Answers
Answer:
1.41
Step-by-step explanation:
Which of the following is an equivalent expression to the expression
Answers
Answer:
a. [tex]a^{\frac{1}{12} }[/tex]
Step-by-step explanation:
[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } }[/tex] = [tex]a^{\frac{1}{3}-\frac{1}{4} }[/tex] = [tex]a^{\frac{1}{12} }[/tex]
Find the slope of the following graphs ?
Answers
Answer:
slope=2
Step-by-step explanation:
the line is negative since it's downwards, and the slope goes 2 down and 1 right to meet the next point. -2/1=-2
The slope of the given graph is -2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Points from the graph (1, 0) and (0, 2).
So, the slope of line
= ( 2- 0) / (0 -1)
= 2 / (-1)
= -2/1
= -2
Hence, the slope of graph is -2.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
a person walks 1/3 mile in 1/24 hour what is the persons speed in miles per hour?
Answers
Answer:
8mph
Step-by-step explanation:
Distance= 1/3 mile
time= 1/24 hour
Speed= distance/time
speed = 1/3 divided by 1/24
= 8mph
Answer:
8 im pretty sure
Step-by-step explanation:
You and classmate have volunteered to contact everyembervof your class by phone to inform them of an upcoming event you can complete the calls in 6 days od you woek alonw id u work togehwr you can complwte the calls in 2.4 days how long would it takw your classmate to make call alon
Answers
Answer:
what
Step-by-step explanation:
did you have a stroke?
Answer:
2.4 days
Explanation:
Use the equation
Work done = rate x time
If you can complete the calls in 6 days, then your rate is N/6 calls per day.
By similar reasoning, your classmate has a rate of N/4 calls per day. Working together , we can write:
Combined rate x time = total calls
(N/6 + N/4) t = N
Nt/6 + Nt/4 = N
Multiply both sides by 24/N:
4t + 6t = 24
10t = 24
t = 2.4 } 2.4 days
1.
Directions:
Factor each expression.
Then find the roots of each equation.
I found all the factors, but not sure the roots of each equation.
Answers
Answer:
a. – 4 or –3
b. –4 or –2
c. 4 or –3
d. 7 or 4
Step-by-step explanation:
To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.
Now, we shall give the answers to the question.
a. x² + 7x + 12 = 0
x² + 3x + 4x + 12 = 0
Factorise
x(x + 3) + 4(x + 3) = 0
(x + 4)(x + 3) = 0
x + 4 = 0 or x + 3 = 0
x = 0 – 4 or x = 0 – 3
x = – 4 or –3
Therefore, the roots of the equation are – 4 or –3
b. t² + 6t + 8 = 0
t² + 2t + 4t + 8 = 0
Factorise
t(t + 2) + 4(t + 2) = 0
(t + 4)(t + 2) = 0
t + 4 = 0 or t + 2 = 0
t = 0 – 4 or t = 0 – 2
t = –4 or –2
Therefore, the roots of the equation are –4 or –2
c. 2n² – 2n – 24 = 0
Divide through by 2
n² – n – 12 = 0
n² + 3n – 4n – 12 = 0
Factorise
n(n + 3) – 4(n + 3) = 0
(n – 4)(n + 3) = 0
n – 4 = 0 or n + 3 = 0
n = 0 + 4 or n = 0 – 3
n = 4 or n = –3
Therefore, the roots of the equation are 4 or –3
d. y² – 11y + 28 = 0
y² – 4y – 7y + 28 = 0
Factorise
y(y – 4) – 7(y – 4) = 0
(y – 7)(y – 4) = 0
y – 7 = 0 or y – 4 = 0
y = 0 + 7 or y = 0 + 4
y = 7 or 4
Therefore, the roots of the equation are 7 or 4.
A tree cast a shadow 21 meters long. The angle of elevation of the sun is 51 degrees. What is the height of the tree?
Answers
Answer:
64feet
Step-by-step explanation:
Consider f(x) = 1.8x – 10 and g(x) = −4.
A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 13.6, negative 10, negative 6.4, negative 2.8. A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, fgx) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
Select the equation that can be used to find the input value at which f (x ) = g (x ), and then use that equation to find the input, or x -value.
1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.
1.8x = –4; x = 1.8 x equals negative 4; x equals negative StartFraction 20 over 9 EndFraction.
1.8x – 10 = –4; x = A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
–4 = x
Answers
Answer:
I got you
Step-by-step explanation:
A
Answer:
A. 1.8x – 10 = -4x = 10/3
Step-by-step explanation:
I did the assignment
what are the first 4 multiples of 9
Answers
9,18,27,36,45
Step-by-step explanation:
Suppose that G(x) = F(x + 9). Which statement best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 9 units up.
B. The graph of G(x) is the graph of F(x) shifted 9 units to the right.
C. The graph of G(x) is the graph of F(x) shifted 9 units down.
D. The graph of G(x) is the graph of F(x) shifted 9 units to the left.
Answers
Answer:
Option D
Step-by-step explanation:
The graph of G(x) is the graph of F(x) shifted 9 units to the left.
The positive 9 in the parenthesis let's us know that the transformation should be 9 units to the left.
The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.
Answers
Answer:
5220
Step-by-step explanation:
A=580, A=LW, W=L-9
580=L(L-9)
L^2-9L-580=0
(L-29)(L+20)=0, L>0 so L=29, W=29-9=20
Prove that the value of the expression: 731^2−631^2 is divisible by 100
Answers
Answer:
Step-by-step explanation:
731² - 631² is the difference of squares.
731² - 631² = (731+631)(731-631) = 1362×100
therefore, 731² - 631² is divisible by 100
y = 4sin(1/2x-6)
What is the graph for this equation and is there a reflection?
Answers
Amplitude is 4
Period: 4 π
Phase shift: 12 (to the right)
Vertical shift is 0
Find the missing side. Round to the nearest tenth. 16 53° A) 20.0 C) 12.8 B) 25.8 D) 23.1
Answers
Answer:
b. 12.8
Step-by-step explanation:
napag aralan po namin yan boss
A cylinder has a height h, and a radius (3h-2)
The area of the base is pi (3h-2)^2
The volume of the clinder is V= pi(3h-2)^2h
10. Multiply the polynomials to simplify the expression for the volume:
V=pi(3h-2)^2h by
Answers
Answer:
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Step-by-step explanation:
Given
Shape: Cylinder
[tex]Radius = 3h - 2[/tex]
[tex]Height = h[/tex]
[tex]Base\ Area = \pi (3h - 2)^2[/tex]
Required
Simplify the volume
The volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Substitute values for Base Area and Height
[tex]V= \pi(3h-2)^2*h[/tex]
Expand the bracket
[tex]V= \pi(3h-2)(3h-2)*h[/tex]
Open brackets
[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]
[tex]V= \pi (9h^2 -12h + 4) *h[/tex]
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
The value of 2^0 ??
Answers
Answer:
1
Step-by-step explanation:
. It is read as 2 raised to zero. Now let see how to solve such problem For example 3^5 then it means 3×3×3×3×3 = 243 Now back to question Anything raised to zero is always 1 Hence 2^0= 1
This is very urgent!!!!!!!! URGENT URGENT!!!!!!!!!!!!!!!!!!!
Answers
Answer:
234
Step-by-step explanation:
Answer:
234
!
Step-by-step explanation:
Whoever answers this for me gets brainliest!! I need answers ASAP
Answers
Answer: 60
Step-by-step explanation:
Use proportions
Answer:
C.) 60
Step-by-step explanation:
435/12 = 60
12 x 5 = 60
Here is a diagram of a person standing next to a tree.
The diagram shows two centimeter rulers.
The tree and the person are drawn to the same scale.
The person is approximately 1.75 m tall.
Using the scale diagram, estimate the height of the tree in meters.
15 points + Brainiest + Heart
Answers
1.75* 2= 3.5
The tree is 3.5m
The estimated height of the tree is approximately 5 meters.
To estimate the height of the tree using the scale diagram, we need to compare the height of the person on the diagram to the height of the tree.
Given that the person's height is approximately 1.75 meters, we can use the scale of the diagram to make the estimation.
Let's assume that the scale on the diagram is such that each centimeter on the ruler corresponds to 1.75 meters in real life.
By measuring the height of the person on the diagram using the ruler, let's say it corresponds to 2 centimeters.
Now, using the scale of 1.75 meters per centimeter, we can calculate the estimated height of the tree:
2 centimeters * 1.75 meters/centimeter = 5 meters
Therefore, based on the scale diagram, the estimated height of the tree is approximately 5 meters.
To know more about height click here :
https://brainly.com/question/21690792
#SPJ2