Answers
Answer:
linear
Step-by-step explanation:
the graph in the above equation is linear function
Related Questions
Show that:
a) The 2nd differences in the following row are constant and calculate:
b)Tn
4; 7; 12; 19;....
-1; 2; 7; 14;....
-2;-8; -18; -32; ...
Answers
• {4, 7, 12, 19, … }
has 1st differences
7 - 4 = 3
12 - 7 = 5
19 - 12 = 7
and 2nd differences
5 - 3 = 2
7 - 5 = 2
• {-1, 2, 7, 14, …}
1st differences:
2 - (-1) = 3
7 - 2 = 5
14 - 7 = 7
2nd differences:
5 - 3 = 2
7 - 5 = 2
• {-2, -8, -18, -32, …}
1st differences:
-8 - (-2) = -6
-18 - (-8) = -10
-32 - (-18) = -14
2nd differences:
-10 - (-6) = -4
-14 - (-10) = -4
Answer:
Hello,
Step-by-step explanation:
I am going to explain the method with the 1th:
[tex]\begin{array}{ccccc}n & u_n&u_{n+1}-u_{n}&u_{n+2}-2u_{n+1}+u_{n}&v_{n}\\1&4&&6\\2&7&3&9\\3&12&5&2&14\\4&19&7&2&21\\...&&&\\\end{array}\\\boxed{u_{n+2}=2u_{n+1}-u_{n}+2}\\[/tex]
[tex]Let\ say\\v_{n}=u_{n}+2\\v_{n+2}=u_{n+2}+2=(2u_{n+1}-u_{n}+2)+2=2(v_{n+1}-2)-(v{n}-2)+4\\v_{n+2}=2v_{n+1}-v{n}+2\ (1)\\v_{n+3}=2v_{n+2}-v{n+1}+2\ (2)\\(2)-(1)==> \boxed{v_{n+3}=3v_{n+2}-3v_{n+1}+v_n}\\[/tex]
[tex]Caracteristic\ equation:\\P(r)=r^3-3r^2+3r-1=0\\P(r)=(r-1)^3\\v_n=\alpha+\beta*n+\gamma*n^2\\v_1=6 ==> \alpha+\beta*1+\gamma*1=6\\u_2=9 ==> \alpha+\beta*2+\gamma*4=9\\u_3=14 ==> \alpha+\beta*3+\gamma*9=14\\[/tex]
[tex]\begin{bmatrix}1&1&1\\1&2&4\\1&3&9\end{bmatrix}*\begin{bmatrix}\alpha\\\beta\\\gamma\end{bmatrix}=\begin{bmatrix}6\\9\\14 \end{bmatrix}\\\\\\\begin{bmatrix}1&1&1&6\\1&2&4&9\\1&3&9&14\end{bmatrix}\\\\\\\begin{bmatrix}1&1&1&6\\0&2&3&3\\0&2&8&8\end{bmatrix}\\\\\\\begin{bmatrix}1&1&1&6\\0&1&3&3\\0&1&4&4\end{bmatrix}\\\\[/tex]
[tex]\begin{bmatrix}1&1&1&6\\0&1&3&3\\0&0&1&1\end{bmatrix}\\\\\\\begin{bmatrix}1&1&1&6\\0&1&0&0\\0&0&1&1\end{bmatrix}\\\\\\\begin{bmatrix}1&0&0&5\\0&1&0&0\\0&0&1&1\end{bmatrix}\\[/tex]
[tex]\alpha=5\\\beta=0\\\gamma=1\\\boxed{v_n=5+0*n+1*n^2}\\\boxed{u_n=5+0*n+1*n^2-2}\\\begin{array}{ccccc}n & u_n\\1&5+1-2=4\\2&5+4-2=7\\3&5+9-2=12\\4&5+16-2=19\\...&...\\\end{array}\\[/tex]
A fundraiser was held to split the profits between the 9 baseball players. How much money was raised if each player earned $326? Construct a division equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
Answers
Answer:
Part 1
The number of baseball players that are to split the profits = 9 baseball payers
The amount of money each player earned = $326
Let x represent the total amount of money raised, and given that each baseball player received equal amount of the profits we have the following division equation;
[tex]The \ division \ equation \ is , \dfrac{x}{9} = \$ \, 326[/tex]
Part 2
Solving for the variable, gives;
x = 9 × $ 326 = $2,934
The amount of profits from the fundraiser, x = $2,934
Part 3
The amount, A, each of the 9 players will earn from the profit of $2,934 raised in the fund raiser is given as follows;
A = $2,934/9 = $326
∴ The amount each of the 9 players will earn, A = $326, therefore the answer corresponds to the value in the question and is therefore, correct
Step-by-step explanation:
if A=(p,q,r) write all possiblesubsets of A
Answers
Answer:
Given, A={p,q,r}.
Now, possible subsets of A are ,{p},{q},(r) {p,q}.
(q,r) (p,r) (p,q,r)
what is the following coordinates of (2,0) and (0,4)
Answers
Answer:
(2, 0) and (0, 4) are coordinates in the form of (x, y)
(2, 0) -> x = 2, y = 0
(0, 4) -> x = 0, y = 4
Please help me solve this guys pleasee im struggling
Answers
Answer:
see below
Step-by-step explanation:
y = x^2 +2x - 8
Factor
y = ( x+4)(x-2)
The zeros are
x+4 = 0 x-2 = 0
x= -4 x= 2
(-4,0) (2,0)
The axis of symmetry is 1/2 way between the zeros
(-4+2)/2 = -2/2 = -1
x = -1
The x coordinate of the vertex is at the axis of symmetry
The y value is found by substituting x=-1
y = (-1+4) (-1-2)= 3*-3 = -9
Vertex ( -1,-9)
The domain is all real numbers
The range is from -9 up
y≥ -9 since it opens upward
Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?
Answers
Answer:
4/8= 2/4=1/2= 50%
Step-by-step explanation:
4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%
A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Assume that the pattern in the table continues. Which equation can be solved for t, the time in hours when the number of cells will reach 100,000?
A
8⋅t4=100,000
B
8⋅4t=100,000
C
4⋅t8=100,000
D
4⋅8t=100,000
Answers
Answer:
100000 = 8 (4) ^t
Step-by-step explanation:
We are multiplying by 4 each time
y = a (4)^t
The initial amount is 8
y = 8 (4)^t
We want to get to 100000
100000 = 8 (4) ^t
Answer:
B
8 ⋅ 4^t = 100,000
Step-by-step explanation:
What is the order of rotational symmetry for the figure?
A. 1
B. 2
C. 3
D. 4 or more
Answers
The order of Rotational symmetry is 2 (option B) for the given figure.
What is order of rotational symmetry?It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.
The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.
If we rotate the picture by 90°or 270°, then it wont match the initial figure.
If we rotate the picture by 180° from initial, it will match the figure.
If we further rotate it by 180°( full 360° completed) , it will again match.
Hence, it matches 2 times in a single rotation.
Therefore it has rotational symmetry of order 2.
To solve more questions about rotational symmetry refer:
https://brainly.com/question/16883531
#SPJ2
If m
Please Help!!!!!!!!!!!!
Answers
Answer:
45 degrees
Step-by-step explanation:
the 2 angles are supplementary (add up to 180 degrees)
180-135=45
Can i please get this answered
Answers
Answer:
0 is the answer . The explanation is in the attachment .
A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80
Answers
I need help ASAP!!! Please explain your answer
Answers
Answer:
804.2 km³
Step-by-step explanation:
Volume of a cylinder: πr²h
r = radius, h = height
[tex]\pi r^2h\\\pi(8)^2(4)\\\pi(64)(4)\\\pi(256)\\804.2[/tex]
Can someone correct my work and answer/explain question C)
Marking Brainliest, 10 Points
Answers
Answer:
4 TOPPING WITH 5 CENTS LEFT
Step-by-step explanation:
A AND B ARE CORRECT ok so $6.50 to spend take out $3 for the cost of a plain hamburger which would leave you with $3.50 to spend on toppings alone so
3.5-0.75=2.75 (1 topping
2.75-0.75=2 (2 topping
2-0.75=1.25 (3 topping
1.25-0.75=0.5 (4 topping
there for you can get 4 toppings with 5 cents left over
Express as -80/112 as a rational: numerator = -5
Answers
Answer:
-80\112 = -5\7
we divided both numbers by 16
Help please please help me please
Answers
Answer:
[tex]\sqrt[2]{8}[/tex]
Step-by-step explanation:
Remember the basic format of a fraction raised to a fractional exponent:
[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]
Some terms to keep in mind are the following:
(a) is the base
(c) is the exponent
(b) is the index
Apply this information to the given problem:
[tex]2^\frac{3}{2}[/tex]
In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.
[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]
Simplify the term under the radical:
[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]
Please help explanation if possible
Answers
Answer:
y=-4x+16
Step-by-step explanation:
Okay, so a perpendicular line has an opposite reciprocal slope.
The slope for the first line is x/4, but I like to write it as 1/4x, since it's easier to look at.
The opposite reciprocal for 1/4x is -4x
So far, we have y=-4x+ [ ]
To find the remaining b value, we can use the given point intersection.
plug in the x and y values given (4, -1) and solve for b.
The equation for the perpendicular line is y=-4x+16
Simplify (b9)3. See picture please
Answers
Answer:
b^27
Step-by-step explanation:
Answer:
A. b^27
You multiply 9x3 and you get 27 with the base "b"
Step-by-step explanation:
Would be very happy if you helped.Don’t spam guys
Answers
[tex]\\ \sf\longmapsto 41sin\Theta=40[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}[/tex]
Now
[tex]\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}[/tex]
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}[/tex]
[tex]\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto - \dfrac{360}{1519}[/tex]
What is the measure of the missing length?
Answers
Use the Pythagorean theorem
? = sqrt(52^2 + 19^2)
? = sqrt(2704 + 361)
? = sqrt(3065)
Answer: sqrt(3065)
A man writes 1 on the first line of his paper, then writes 2 and 3 on the second line, then 4, 5, and 6 on the third, and continues so that on any line n he writes the first n integers following the last integer on line n - 1. What is the sum of the first and last integers on line 17
Answers
Answer: 290
Step-by-step explanation:
[tex]First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290[/tex]
I have not say the equation in u(n+3) for the recurrence,
the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.
find the square root and of 1+i√3
Answers
find the square root and of 1+i√3
please help find if the the graph represents a function
Answers
Answer: The graph DOES represent a function.
Explanation: If you use a vertical line in the function and it only intersects once, that means it is a function. If it intersects twice, it is not a function.
See examples:
A taxi charges a flat rate of $8 plus $2 per mile travelled. Write an equation to represent the total cost of a journey. (Let d miles = distance travelled)
Answers
Answer:
Y = 8 + 2d
Step-by-step explanation:
Y = 8 + 2d where d is miles traveled
Answer:
y = 2d + 8
Brainliest, please!
Step-by-step explanation:
y = mx + b
m = slope, b = y-intercept
The flat rate of $8 is the y-intercept, and the slope is $2.
y = 2x + 8
We can change x to d to match the context of this problem.
y = 2d + 8
Friends please give ,e the answer i have exam at 12.00 with workings .
Answers
Answer:
impossible
Step-by-step explanation:
The sum of the internal angles of the regular polygon and the theorem n-sided polygon is equal to: (n-2)×180° (n is greater than or equal to 3 and n is an integer)
when n=3，The internal angle sum is 180°
using trig to solve for missing angle
Answers
Answer:
[tex]58.99[/tex]
Step-by-step explanation:
[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]
whats the perimeter and area of this shape?
Answers
Answer:
(4x4) + (6x11) = 82 for area
4+4+10+11+7+6= 42
Step-by-step explanation:
You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)
Can someone help me with this
Answers
Answer:
Does the answer help you?
Find the slope (m) of the line using the origin, (0,0) and the point (2,8)
Answers
Answer:
m=4
Step-by-step explanation:
m = y2 - y1/x2 - x1
(y2=8, y1=0, x2= 2, x1=0)
m = y2 -y1/x2 - x1
= 8 - 0/2 - 0
= 8/2
=4
A spinner numbered 1 to 6 is spun ten times, giving the results : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6. The experimental probability of getting a 2 is:
Answers
Answer:
1 / 5
Step-by-step explanation:
Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6
The experimental probability of an event, A is given as :
P(A) = number of times A occurs / total number of trials
Therefore, the experimental probability of getting 2 ;
P(getting 2) = Number of times 2 occurs / total number of trials
P(getting 2) = 2 / 10 = 1/5
Find the value of x.
Answers
Step-by-step explanation:
here's the answer to your question
