The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.
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
To learn about equation of line click :
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An Olympic runner set a record for the 100m event. The time was ten and sixty two hundredths seconds. Express the decimal form of the given time
please help me
what is the slope y =5x - 1?
Answer:
slope is 5/1
Step-by-step explanation:
y=mx+b
m=slope
Answer:
The slope is 5.
Step-by-step explanation:
Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.
Tell the fraction each person gets when they share equally:
Six people share 4 bananas.
What is the solution of
Answer:
x = 50/9
hope it's helpful ❤❤❤
THANK YOU.
Please use the picture below to find our what x equals
Answer:
45 degrees
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
The full angle is supplementary (180 degrees) so you just do
180-(90+30)
180-120
x=60
tdrzfffffffffffffffffffffffffffffff
Answer:
AYEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone
of uniform width, which is not to be entered during landing, surrounds the landing
pad. The landing pad and safety zone together have a combined area of 10800 ft2,
what is the uniform width (safety zone) around the landing pad?
Answer:
uniform width around the landing pad = 9.41 feet
Step-by-step explanation:
Length of landing pad = 80 ft
width of landing pad = 50 ft
Length of safety zone = (80 + 2w)
width of safety zone = (50 + 2w)
Total area = 10800 [tex]ft^{2}[/tex]
Area of landing pad = length x width
= 80 x 50
= 4000 [tex]ft^{2}[/tex]
Area of landing pad = 4000 [tex]ft^{2}[/tex]
Thus,
area of safety zone = total area - area of landing pad
= 10800 - 4000
= 6800
area of safety zone = 6800 [tex]ft^{2}[/tex]
But,
area of safety zone = length x width
6800 = (80 + 2w) x (50 + 2w)
6800 = 4000 + 160w + 100w + 4[tex]w^{2}[/tex]
divide through by 4,
1700 = [tex]w^{2}[/tex] + 65w + 1000
⇒ [tex]w^{2}[/tex] + 65w + 1000 - 1700 = 0
[tex]w^{2}[/tex] + 65w -700 = 0
Applying the quadratic formula,
w = (-b ± [tex]\sqrt{b^{2} -4ac}[/tex]) ÷ 2a
a = 1, b= 65 and c = -700
w = (-65 ± [tex]\sqrt{(65)^{2}-(4*1*-700) }[/tex]) ÷ 2
= (-65 ± [tex]\sqrt{7025}[/tex]) ÷ 2
= (-65 ± 83.82)÷ 2
w = (-65 + 83.82) ÷ 2 OR (-65 - 83.82) ÷ 2
= 18.82 ÷ 2 OR -148.82 ÷ 2
= 9.41 OR -74.41
Thus, w = 9.41 ft.
5. Find the slope of the line through the points (17, -13) and (17, 8).
Answer:
the slope is undefined
Step-by-step explanation:
Answer:
Step-by-step explanation:
(8 + 13)/(17-17) = 21/0 = undefined
Find the percent of increase to the nearest whole percent from 12 to 20? Please help
can u guys help me this is hard and i dont understand
Answer:
Ok so this is not a function.
However i'm not real sure about domain and range because i'm not sure what you can do in those boxes but this is a guess.
Hope this helps though!:)
Domain: -3, -2, -1, 0
Range: 12, 13, 14, 15
what is -1/4 - 8 > -12
Answer:
It is true.
Step-by-step explanation:
What is the equation of a circle centered at the origin with radius 15 ?
Find the prime factorization of 56.
Answer:
2³ · 7
Step-by-step explanation:
Answer:
2x2x2x7
Step-by-step explanation:
56
^
2 28
^
2 14
^
2 7
I'm in fourth grade and I need help please :(
Answer:
She will run 4.95 miles
Step-by-step explanation:
Since she will run 1.1 times the amount, you multiply this by the previous value:
4.5 miles x 1.1 = 4.95 miles
find the surface area
Answer:
the answer to your question is 7.5
graph each equation and tell whether it is linear. explain why or why not. graph y=3x+2
Answer:
This graph is linear, the degree of x does not exceed 1 and the graph forms a line.
Step-by-step explanation:
Please help will give Brain
Answer:
6.82
Step-by-step explanation:
15/11=x/5
(15/11)5=6.81818181818
please helpppppppppppppp
[tex]{ \huge{ \green{ \underline{ \frak{Question}} \colon}}}[/tex]
[tex]{ \large{ \pink{ ⇝ \: \rm{To \: \: Find \: \: \bigg (4.9 \div \dfrac{1}{10} \bigg)}}}}[/tex]
[tex]{ \huge{ \purple{ \underline{ \frak{Answer}} \colon}}}[/tex]
[tex]{ \large{ \red{➢ \: \: \rm{4.9 \div \dfrac{1}{10} }}}}[/tex]
[tex]{ \large{ \orange{ ➢ \: \: \rm{4.9 \times 10}}}}[/tex]
[tex]{ \large{ \blue{➢ \: \: \bf{ \boxed{\bf{49 }}\: \: Ans.}}}}[/tex]
Someone help and makes sure the answer is right please :)
Answer:
x=6
Step-by-step explanation:
Since the two lines are parallel, the angles are congruent to each other.
-4+14x=80
14x=84
x=6
Hope this helps!
Answer:
6
Step-by-step explanation:
-4+14x=80
14x=84
x=6
Hopefully, it helps and it's correct!
pleaseee help i have know idea how to do this I've tried everything
1. Add the correct symbols (+, -, x, ) to make this statement true: 2_22_20_21 = 46.2
Will give brainliest- pls help me overcome my s.tupidness :')
Answer:
[tex]3^{3}[/tex]
Step-by-step explanation:
[tex]\frac{(3^{4})(3^{2}) }{3^{3} }[/tex]
the product rule states that you add exponents when you multiply
[tex]\frac{3^{6} }{3^{3} }[/tex]
the quotient rule states that you subtract exponents when you divide
[tex]3^{3}[/tex]
Answer:
3 3
Step-by-step explanation:
I rounded it up (somehow) and I got 3 3 as the answer
Help please due tonight
Solve the system of equations using elimination: 2x + 3y = -1 and -2x + 4y = 8
Name the relationship
Answer:
C) Adjacent angles
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap
also complementary is 90 degree so No
Vertical are opposite so No
Corresponding are on parallel lines so No
PLEASEEE HELPPP!!!!!!!!
Answer: you have it right x is greater than 4 also it could be the line
Step-by-step explanation:
What is the factored form of z^2– 9?
Answer:
OR just 3
Step-by-step explanation:
z^2-9 becomes sqrt(z^2)=sqrt(9) becomes z=+-3
the shape has foor sides it only two pairs of opposite sides what is the shape
Answer:
Rectangle
Step-by-step explanation:
2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
Solve for r.
(-3,r) and (2,14)
m = 5
Answer:
r = -11
Step-by-step explanation:
14-r ÷ [2-(-3)] = 5
cross-multiply:
14-r = 5*5
14-r = 25
-r = 11
r = -11
This is a question for geometry and its pretty hard.
Answer:
m EAD = 56
m EDA = 35
x = 4
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.
2x + 3 = 11
2x = 8
x = 4
Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35
can someone help me pls );
Answer:
Hope it helps you,
Step-by-step explanation:
As the figure can be split in to 3 geometric figure,
Rectangle , Triangle and Semi circle ,
So first find the area of these figures then add up them ,
Area of rectangle = Length * width
Length = 20m m and width = 14 mm
hence
Area of rectangle = 20*14 = 280 mm^2
Now ,
Are of Circle = [tex]\\ \pi *d^{2} /4[/tex]
Then Area of semi circle = [tex]\\ \pi *d^{2} /8[/tex]
Hence we have d= 20mm
Putt in semi circle formula we get,
Area of Semi Circle= (3.14)*400/8 = 157 mm^2
Now area of triangle = 1/2 * length*width
length =32-20 = 12 mm
width = 14 mm
putt in the formula we get ,
Area of triangle = 1/2*12*14 = 84 mm^2
Now add these 3 Areas to get total Area,
Total Area = 84+157+280 = 521 mm^2