The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.
Answers
Answer:
5/4
Step-by-step explanation:
Rise over run you go up 5 and left 4 so 5/4 is the ROC.
The rate of change of the function is given by the slope of the line m = -4/3
What is an Equation of a line?The equation of a line is y = mx + b where m is the slope which is the rise by run and b is the y-intercept
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
Given data ,
Let the rate of change of the function be m
The equation is represented as A
Now , the value of A is
Let the first point be P ( 0 , 4 )
Let the second point be Q ( 3 , 0 )
Slope m = -4/3
On simplifying the equation , we get
Slope m = -4/3
Now , the equation of line is
y - 4 = ( -4/3 ) ( x - 0 )
On simplifying the equation , we egt
y - 4 = ( -4/3 )x
y = ( -4/3 )x + 4
Hence , the equation of line is y = ( -4/3 )x + 4 and the rate of change of the function is m = -4/3
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Related Questions
rhoda pays for internet access each month The graph shows the relaionship
Answers
Answer:
more info??
Step By Step:
why am I obsessed with lemons but I can't eat them cause I eat to much an my dentist said your teeth can melt cause of the acid and I will be teeth less I CANT STOP THINKING ABOUT THE SOURNES!!!!! i hate sugar by the way only sour
Answers
Answer:
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.
Answer:
I am somewhat the same way I only like sour
Step-by-step explanation:
Help needed ASAP!
Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4.
Answers
Answer:
[tex] {x}^{4} - {x}^{3} - {9x}^{2} - {11x}^{2} - 4 [/tex]
Step-by-step explanation:
Since the roots are -1,-1,-1 and 4 we can that as.
[tex](x + 1)(x + 1)(x + 1)(x - 4)[/tex]
x+1=0, x equal -1, and x-4=0 and x equal 4. Then apply the foil method to one at a time and you equal the answer above.
Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answers
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
In a bag there are blue sweets, red sweets and yellow sweets. The number of blue sweets is four times the number of yellow sweets. The number of red sweets is half the number of yellow sweets. Find the percentage of sweets in the bag that are yellow.
Answers
Answer:
18.18%
Step-by-step explanation:
The percentage of sweets in the bag that are yellow is as follows:
Let us assume the number of yellow sweets be x
So for number of blue sweets be 4x
And, the number of red sweets be 0.5x
So it could be written as
Blue Red Yellow
4 0.5 1
8 1 2
So for yellow, the percentage is
= 2 ÷ (8 + 1 + 2)
= 2 ÷ 11
= 18.18%
please answer I have a freaking e in my math class
Answers
Answer: I would answer but the image is blocked for me- can you type the problem by any chance?
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
Initial value usually means the y value when x=0
PLS HELP The width of Ben's rectangular family
room is 3 feet less than the length.
The perimeter is 70 feet. What is the
length of the family room?
Answers
Answer:
19 feet
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of length and width by 2
width is 3 less than length so if we call the width x the length would be x + 3
2×(x + x + 3) = 4x + 6 and
4x + 6 = 70 subtract 6 from both sides
4x = 64 divide both sides by 4
x = 16
The length is x + 3 so the answer is 19 feet
So we're working on ratios and proportions in my math class. I feel attacked because my teacher specifically called me out and said- "Nya, you can do this, a little math won't hurt." So now I need help. :')
6) A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
A. 12.07
B. 12.70
C. 12.84
D. 19.00
Answers
A pizza cost 12.00. If the sales tax is 7%, what is the final price of the pizza?
$12.84 or C
Have a great day! :)
Which expression is equivalent to i 2337
O 1
O -1
O i
O -i
Answers
please help me ASAP!
Answers
Work out
m
and
c
for the line:
y
=
9
x
Answers
Answer:2
Step-by-step explanation:
2
For line y = 9x, m = 9 and c = 0
What is the slope-intercept form of the line?"y = mx + c, where m is the slope of the line and c is the y-intercept of the line."
What is slope of the line?"It is the change in y coordinate with respect to the change in x coordinate."
What is y-intercept?"It is a point at which a line intersects the Y-axis."
For given question,
We have been given an equation of line y = 9x
By comparing above equation of line with the slope-intercept form of line,
m = 9 and c = 0
This means the slope of the line y = 9x is 9 and the y-intercept is 0
Therefore, for line y = 9x, m = 9 and c = 0
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8x^3 – 144x^2y + _____xy^2 − _____ y^3. how to solve this problem , i need a help assap . Plz explanation
Answers
I suppose your teacher want you to make a (a-b)^3 formula
Answer:
8 x^3 - 144 x^2 y + 864 x y^2 - 1728 y
Step-by-step explanation:
96/38n X 25/45 (multiplying rational expressions .simplify.)
Answers
[tex] \frac{96}{38} \frac{25}{45} [/tex]
That's my answer I hope it helps #brainliestbunch - _ - ;)[tex] \frac{96}{38} \frac{25}{45} [/tex]
That's my answer I hope it helps #brainliestbunch - _ - ;)6x + 9 = 27
what is x?
Answers
Pls help for my math class!
Answers
Answer:
i think it is b but i am not 100%
sorry if i am wrong
Step-by-step explanation:
3x=6y-3 (table of values)
Answers
Answer:
The image I put is the answer.
Step-by-step explanation:
Which exponential function is represented by the graph ?
Answers
Answer:
amogusStep-by-step explanation:
Round to the nearest tenth if necessary. Use 3.14 for π. How long does it take to travel 150 miles at a rate of 60 mi/h? Show your work! I will give brainliest!
Answers
Answer:
?
Step-by-step explanation:
Answer: Hello, Today we are going to divide you want to divide the distance by rate.
150m/60mph =2.5h
Hope this helps and hope you carry on and hope you have learned something.Thanks!
Beth went on vacation for 4 1/2 days in June and 8 1/2 days in July. How many days was Beth on vacation altogether?
Answers
Hi there,
Answer is: 4 months, because 4 plus 4 is 8.
Explanation: 4/1/2 ; 8/1/2
How to get 4/1/2 ; 8/1/2
So you add 4 to get 8 and 4 plus 4 is 8.
I could use a little help on this question take your time and please give the right answer if you dont give the right answer its fine
(reward for best answer):D
Answers
Answer:
3/5 or three fifths
Answer:
62 cookies
Step-by-step explanation:
If we take 40 and divide by 24 we get 1.6 that means for every normal cookie there is 1.6 chocolate cookies. With that we can simply just divide 100 by 1.6 to get 62.5 I chose to round down.
Whatis the answer to the problem
Answers
Answer:
slope = [tex]-\frac{1}{8}[/tex]
Step-by-step explanation:
Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex] are x and y values of another point.
So, use the x and y values of the points given and substitute them in the correct order into the formula:
[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]
Thus, the slope is [tex]-\frac{1}{8}[/tex].
The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min
Answers
Answer:
It will take her approximately 28 seconds to cross the diagonal of the pitch
Step-by-step explanation:
If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.
Step one: Find the length of the field from its area.
The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.
i.e area = length X breadth.
Let us assume that the breadth = 6m
its length will be area / breadth = 42/ 6 = 7m
The length of the pitch = 7 m
Step Two: Find the length of the diagonal using Pythagoras' theorem.
From Pythagoras'theorem, the length of the diagonal can be obtained by
[tex]diagonal = \sqrt{l^2 +b^2}[/tex]
[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]
The length of the diagonal is 9.22m
Step three: Find the time using her speed and the distance she needs to cover.
Time = distance / speed
time = 9.22 /20 = 0.46 minutes
It will take her approximately 28 seconds to cross the diagonal of the pitch
What is the line of reflection?
Answers
Answer:
Y Axis
Step-by-step explanation:
The y axis is the best so it reflects off of both sides of the best axis in the world.
Researchers study the population of bass in a lake. The researchers catch, tag, and release 50 bass into the lake. During a fishing tournament the following week, competitors catch and release 525 bass, 15 of which had been previously tagged by the researchers.
What is the best estimate for the number of bass in the lake?
Answers
Answer: B.
Step-by-step explanation: 550 bass
Determine the equation of the tangent to x− 3x +1 at the point (3,1)
Answers
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?
Answers
Answer:
v = l * w * h
v = 3/4 * 1/2 * 1/4 = 3/32 or 0.09375
7. Write an expression that is equivalent to
5({r - 8). State the property that justifies
your answer.
Answers
Answer:
5r - 40
Step-by-step explanation:
If you simplify 5(r - 8), you will get 5r - 40. This is called distributed property.
Hope this helps, thank you !!
BRAINLIEST ....................................
Answers
9514 1404 393
Answer:
(b) 7720 mm² of paper
Step-by-step explanation:
The central horizontal rectangle of the net is 80 mm high and ...
40 + 5.5 + 40 + 5.5 = 91
mm long. Its area 9 is ...
(80 mm)(91 mm) = 7280 mm²
__
The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...
2(40 mm)(5.5 mm) = 440 mm²
Then the area of paper needed for the wrapper is ...
total area = 7280 mm² + 440 mm²
total area = 7720 mm²
10 is 60% of what number please help
Answers
Answer:
600
Step-by-step explanation:
set x as the number
x0.10 = 60
x = 60/0.10
x = 600
Answer:
For me i think its 16.67 well im not fully sure
Step-by-step explanation:
SO we have to figure out what gives us 10 and that will be represented as "x"
[tex]\frac{60}{100}[/tex] × x = 10
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 10 × [tex]\frac{100}{60}[/tex] so, x = 16.67
(that's what i believe but i don't know)
HELP (ENGLISH)
Amira is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 9 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?