Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
Find the range and domain for the functions shown.
(A). Domain:
(B). Range:
Answer:
The domain and the range of the function are, respectively:
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Step-by-step explanation:
Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Answer:
Step-by-step explanation:
y = 15x + 15 How do I interpret the slope and y-intercept?
Answer:
Look at explanation.
Step-by-step explanation:
The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.
On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.
Which is a unit rate that describes the exchange?
135 pounds per dollar
0.625 pounds per dollar
137 pounds per dollar
0.7 pound per dollar
Answer:
0.7 pound per dollar
Step-by-step explanation:
To find the pounds per dollar, divide the number of pounds by the number of dollars:
560/800
= 0.7
So, the unit rate is 0.7 pounds per dollar
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?
here’s the other one
Answer:
it is A
Step-by-step explanation:
What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
Answer: The tax would be $6.75.
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.
While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.
Answer: The answer is D
Step-by-step explanation: got it form edge
Answer:
its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.
Step-by-step explanation:
edge
B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find
the coordinates of D.
Answer:
[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]
[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]
Which fraction and decimal forms match the long division problem? 15) 8.000 75. 50 45, 50 45 5 O A. 8 and 0.53 15 O B. 8 15 and 0.53 O C. 15 8 and 0.53 O D. 15 8 and 0.533
Answer: The answer is A
Step-by-step explanation:
5 time 6 is 30 but what is 5 time 123456789
Answer:
617283945?
Step-by-step explanation:
Answer:
617283945
Step-by-step explanation:
Simple: Use a Calculator
Then: Add an Answer
5 2/3+m=9 3/4 evaluate
Answer:
m=4[tex]\frac{1}{12\\}[/tex]
Step-by-step explanation:
Basic math
Pretty easy
Have a wonderful day
Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"
Cooper runs a farm stand that sells apples and grapes. Each pound of apples sells for $3 and each pound of grapes sells for $2.25. Cooper sold 3 times as many pounds of apples as pounds of grapes and he made $180 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x,x, and the number of pounds of grapes sold, yy.
Answer:
The answer seems like it's 400 but i'm not 100% sure.
Step-by-step explanation:
Please help me with my homework!!
(btw i choosed A randomly but it doesn't mean it's correct bc it's green it turns green for all all them so don't be confused about that)
Answer: B
Step-by-step explanation:
12 1/3
Calculator
What is the value of x?
10
Enter your answer in the box
6
Answer:
x = 8
Step-by-step explanation:
hchkcckxkgkzkupvouuocouc
USING PYTHAGORAS THEOREM
h²=p²+b²
10²=x²+6²
10²-6²=x²
100-36=x²
x= \sqrt{64}
x=8
So x=8
Mya bought 8 slices of bread for $2.40 at her local grocery store. How much would a
package with 12 slices cost at the price per slice?
Work Space
Answer:
Cost of package with 12 slices = $3.60
Step-by-step explanation:
Given that:
Cost of 8 slices of bread = $2.40
Unit rate per slice = [tex]\frac{2.40}{8}[/tex]
Unit rate per slice = $0.30 per slice
Cost of package with 12 slices = 12 * 0.30
Cost of package with 12 slices = $3.60
Hence,
Cost of package with 12 slices = $3.60
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
Which expression is equivalent to 4.005−3.12?
Answer:
0.885
Step-by-step explanation:
If someone can help me with these two points I would really appreciate it.
Answer:
1. nonlinear
2. linear
Step-by-step explanation:
The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1
Work out the three numbers that are in both sequences and also between 20 and 40
Answer:
The three numbers are 23, 29 and 35.
Step-by-step explanation:
Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.
To find: The three numbers that are in both sequences and also between 20 and 40.
Consider both the sequences.
Put n = 11 in the nth term 2n+1, we get 23.
So, the 11th term of first sequence is 23.
Now put n = 8 in the nth term 3n-1, we get 23.
So, the 8th term of the second sequence is 23.
Therefore, first number that is in both sequence and lies between 20 and 40 is 23.
Now put n = 14 in the nth term 2n+1, we get 29.
So, the 14th term of first sequence is 29.
Put n = 10 in the nth term 3n-1, we get 29.
So, the 10th term of the second sequence is 29.
Therefore, second number that is in both sequence and lies between 20 and 40 is 29.
If we put n = 17 in the nth term 2n+1, then we get 35.
That is, 17th term of first sequence is 35.
Now we put n = 12 in the nth term 3n-1, then we get 35.
That is, 12th term of second sequence is 35.
So, third number that is in both sequence and lies between 20 and 40 is 35.
Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.
Identify the parts of the expression 4.2m + (8 divided 2) - 6 what is the term of expression
Answer:
I think the answer is 4.00
The parts of the given expression are constant term is -2 and the other term is 4.2m.
The given expression is 4.2m+(8 divided 2)-6.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
4.2m+(8 divided 2)-6
= 4.2m+8/2 -6
= 4.2m+4-6
= 4.2m-2
Here, the constant term =-2 and the other term is 4.2m
Therefore, the parts of the given expression are constant term is -2 and the other term is 4.2m.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
Add and Subtract mixed numbers. Find the sum or difference in simplest form. 31/2 - 1 1/2
factor polynomial
x^ + 9x + 20
please help and u get a cookie
Which mixed number is equivalent to the improper fraction?
14/9
Answer: 1 5/9 (one and five-ninths)
A rock is thrown upwards from the edge of a 52foot cliff and eventually falls to the ground. The graph below shows the height ,y, of the rock from the ground after x seconds.
For which interval is the rocks height always increasing ?
The interval for which the rock's height always increasing will be 0 < x < 3. Then the correct option is A.
The complete question is attached below.
What is a function?A statement, principle, or policy that creates the linkage between two variables is known as a function.
A rock is thrown upwards from the edge of a 52 feet cliff and eventually falls to the ground.
The graph below shows the height (y), of the rock from the ground after (x) seconds.
The graph of the function is given below.
Then the interval for which the rock's height always increasing will be 0 < x < 3.
Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:
a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
Answer:
(1204 ; 1288) ;
(1162 ; 1330) ;
(1120 ; 1372)
Step-by-step explanation:
Given that:
Mean, m = 1246 years
Standard deviation, s = 42 years
68% is within one standard deviation the mean ;
Therefore 68% equals ;
mean ± 1(standard deviation)
(1246 - 1(42)) ; (1246 + 1(42))
1204 ; 1288
B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
95% is within two standard deviation of the mean ;
Therefore 95% equals ;
mean ± 2(standard deviation)
(1246 - 2(42)) ; (1246 + 2(42)
(1246 - 84) ; (1246 + 84)
(1162 ; 1330)
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
About 99.7% which is within 3 standard deviations of the mean
99.7% is within 3 standard deviations of the mean ;
Therefore ;
mean ± 3(standard deviation)
(1246 - 3(42)) ; (1246 + 3(42))
(1120 ; 1372)
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2
Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3
pls help u dont have to explain that much
Answer:
k = -7
Step-by-step explanation:
Given
x² - x - 42 = (x + k)(x + 6)
Required
Find k
x² - x - 42 = (x + k)(x + 6)
Expand the left hand side
x²-7x + 6x - 42 = (x + k)(x+ 6)
Factorize
x(x - 7) + 6(x- 7) = (x + k)(x+ 6)
Further factorize
(x - 7)(x + 6) = (x + k)(x + 6)
By comparison
x + k = x - 7
Subtract x from both sides
k = -7
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15