An n x 11 matrix can have a maximum of n different eigenvalues, whereas a 2 x 2 matrix can only have a maximum of two. Below, there is a detailed explanation of this.
What is a matrix simple definition?a collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
What's the matrix theory?The study of matrices is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.
solution of a 2 x 2 matrix is in given form:
|A - λI| = 0
here,
A = eigenvalue
I = identity matrix
now
|A - λI| = (a11 - λ)
(a22 - λ) - a12a21 = 0
the solutions of above equation are 2 x 2 matrix's eigenvalues.
just like this, a matrix of size n by n may have up to n different eigenvalues as its characteristic equation is a polynomial of nth degree with up to n roots (i.e. n eigenvalues). all due to the equation form: |A - I| = 0, where A is an eigen and I is an identity matrix.
by expanding the determinant:
|A - I| = (-1)
having coefficients c1, c2,..., cn, having sum = zero.
which is nth degree polynomial equation consisting of n possible solutions, that are basically n x n matrix's eigenvalues .
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PLEASE HELP HURRY!!!!
Answer:
1) y=-2/3x+5
Step-by-step explanation:
Now I know that I didn't actually do the math for this one. I did see though that it needs to have the point (3,3) on the graph. So then I went to desmos graphing calculator, and I put all of them on the graph. The only one with a (3,3) point was number 1. I put it in the image below so you could see. I know that the rest aren't on there, that's because I removed them because they were in the way.
I hope this helps!!!
Farmer Brown has a farm of chickens and cows. The animal heads total 43, and the cow legs 124. How many of each animal does he have?
The number of chickens in the farm = 12 chickens
The number of cows in the farm = 32 cows
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of chickens in the farm be = x
Let the number of cows in the farm be = y
Now , the total number of animal heads in the farm = 43
So , the equation will be
x + y = 43 be equation (1)
Now ,
The total number of cow legs = 124
The number of legs for cows = 4
So , the equation will be
4y = 124
Divide by 4 on both sides of the equation , we get
y = 31 be equation (2)
Now , the value of y is 31 , substitute the value of y in equation (1) , we get
x + y = 43
x + 31 = 43
Subtracting 31 on both sides of the equation , we get
x = 12
And , the value of x is 12
Therefore , the number of chickens is 12 and number of cows is 32
Hence , The number of chickens in the farm = 12 chickens
The number of cows in the farm = 32 cows
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A solid metal cuboid has length 9 cm, width 6 cm and height 4 cm
The cuboid is melted down and all metal is used to make a solid cube.
calculate the length of one side of the cube.
The cube has a side that is 6 cm long.
Volume of cuboid:-
Height × width × depth
⇒9 cm × 6 cm × 4 cm
⇒ 216 cm³
when the cuboid is melted and a cube is made using just metal.
So, the cube's volume is 216 cm³.
side³ = volume of cube
⇒ Side³ = 216
⇒ Side = ∛216
⇒ Side = ∛6×6×6
⇒Side = 6 cm
As a result, the cube's side measures 6 cm.
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5x+10=35 solve for x
Answer: x=5
Step-by-step explanation:
5
x
+
10
=
35
Subtract
10
from both sides.
5
x
=
35
−
10
Simplify.
5
x
=
25
Divide both sides by
5
.
x
=
25
5
Simplify.
x
=
5
Answer:
X=5
Step-by-step explanation:
9(2x + 3y - 5z) expanded form
Answer:
[tex]18x+27y-45z[/tex]
Step-by-step explanation:
[tex]9(2x+3y-5z)[/tex]
[tex]= 9(2x)+9(3y)+9(-5z)[/tex]
[tex]=18x+27y-45z[/tex]
I would appreciate it if you mark my answer as brainliest.
Answer: 18x + 27y -45z
Step-by-step explanation:
9(2x + 3y - 5z)
= 18x + 27y -45z
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.
5(x2 + 4x + 4) = –7 + 20
x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot
5(x2 + 4x) = 7
5(x2 + 4x + 4) = 7 + 20
5(x2 + 4x) = –7
5(x2 + 4x + 4) = 7 + 20 quadratic equation by completing the square The correct statement is 5(x2 + 4x + 4) = 7 + 20.
What distinguishes a quadratic equation?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.
Describe the fundamental quadratic equation?Quadratic equations are the degree two, one-variable polynomial equations of the form f(x) = ax2 + bx + c = 0, where a, b, c, and an are all divisible by R and an is equal to zero. It is the quadratic equation's general form, with 'a' standing for the leading coefficient and 'c' standing for the absolute term of f. (x).
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Can somebody answer these 5 questions please and thank you
The perimeter of the rhombus is 34.40 units. The length of diagonal is 7.21 units. The perimeter of the rectangle is 44.98 units. The perimeter of the square is 42.44 units
How to find the perimeter of the rhombus?1. Given: a rhombus with diagonals 10 and 14
Half-length of the diagonals are 10/2 = 5 and 14/2 =7
Length of side = √(5²+7²) = √74 = 8.6 units
Perimeter, P = 4 × length of side
P = 4 × 8.60 = 34.40 units
2. Given: m<ADC = 60⁰
Missing...
3. Given: a rectangle with side length of 6 and 4. The length of one of its diagonal can be found using Pythagoras' theorem:
length of diagonal = √(4²+6²) = √52 = 7.21 units
4. Given: a rectangle with a diagonal length of 16 and side length of 10
other side length = √(16²-10²) = √156 = 12.49 units
Perimeter, P = 2(L+W)
P = 2(10+12.49) = 44.98 units
5. Given: a square with diagonal length of 15
Let represent the side length of the square
x² + x² = 15²
2x² = 15²
x² = 225/2
x² = 112.5
x = √112.5 = 10.61 units
Perimeter, P = 4 × side length
P = 4×10.61 = 42.44 units
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The function f(x) = e2x+1 when graphed could be described as:
a decreasing exponential graph.
an increasing exponential graph. an increasing linear graph.
None of these choices are correct.
The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.
How to Interpret Exponential Graphs?The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines.
Now, we are given the exponential function as; ƒ(x) = e^(2x + 1)
Now, as the exponent increases, the curves get steeper and the rate of growth increases respectively. Thus, we can see that the exponent we are given increases as seen in the exponent attached to it.
Thus, we can conclude that The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.
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A solid has a volume of 128 cubic units and a surface area of 160 square units. The solid is dilated, and the image has a volume of 54 cubic units.
What is the surface area of the image?
Answer:
90 units²
Step-by-step explanation:
The scale factor of the lengths of the sides of a solid must be squared to to find the ratio of the areas and cubed to find the ratio of the volumes.
For example, if you are given two solids with a scale factor of the lengths of the sides of 2, meaning that the sides of the second solid are twice the length of the sides of the first solid, then the surface area of the second solid is 2² (= 4) times the surface area of the original solid, and the volume of the second solid is 2² (= 8) times the volume of the original solid.
Let's say you have a cube with edge of 1 cm. The volume is (1 cm)³ = 1 cm³.
The surface area is the sum of the areas of the 6 faces which are squares 1 cm by 1 cm. 6 × (1 cm)² = 6 × 1 cm² = 6 cm².
The original cube with edge of 1 cm has a volume of 1 cm³ and total surface area of 6 cm².
Now double the size of the edge of the cube. The new cube has an edge of 2 cm. The volume is (2 cm)³ = 8 cm³. Each face of the cube is a square 2 cm by 2 cm. The total surface area of the new cube is 6 × (2 cm)² = 24 cm².
The new cube has volume 8 cm³ and total surface area 26 cm².
Compare the edges, surface areas and volumes of the two cubes:
Original Cube Dilated Cube Ratio new/dilated
Edge 1 cm 2 cm 1:2
Surface area 6 cm² 24 cm² 1:4
Volume 1 cm³ 8 cm³ 1:8
Now here is your problem.
We start with the ratio of the volumes.
Original solid: 128 u³
Dilated solid: 54 u³
ratio of volumes: 54/128 = 27/64 = 3³/4³
The ratio of volumes is the cube of the ratio of the lengths.
ratio of lengths: 3/4
ratio of area: 3²/4² = 9/16
Surface area of original solid: 160 u² × 9/16 = 90 u²
Answer: 90 units²
.... ineed help past due
Answer:
a worker can plant 2/5 acres in 7/8 days
or a worker can plant 2/5 acres in 7/8 hrs=21hrs
in one hrs he can plant 2/5×21 acres
in 24 hrs he can plant 2/105 ×24 acres
Therefore in one day he can plant 16/35 Acres
Find a point-slope form for the line with slope 5 and passing through the point (- 8, -4)
Answer:
y + 4 = 5(x + 8)
Step-by-step explanation:
Slope: 5 => m = 5
Point: (-8, -4) => x = -8 and y = -4
y - y1 = m(x - x1)
y - (-4) = 5(x - (-8))
y + 4 = 5(x +8)
Please help me with this question. And also are they congruent
From the calculations triangle DEF ≠ triangle PQR
The side lengths of each triangle are
B DE = √13, PQ = √13, EF = √5, QR = √26, DF = √29, PR = √13How to find the side lengths of each of the triangleThe length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
Triangle DEF
D(-7,-3), E(- 4, - 1)
DE = √{(-7 - -4)² + (-3 - -1)²} = √13D(-7,-3), F(- 2, - 5)
DF =√{(-7 - -2)² + (-3 - -2)²} = √26E(- 4, - 1)), F(- 2, - 5)
EF =√{(-4 - -2)² + (-1 - -2)²} = √5Triangle PQR
P(2,- 2) Q(5, - 4)
PQ = √{(2 - 5)² + (-2 - -4)²} = √13P(2,- 2) R(0, - 5)
PR = √{(2 - 0)² + (-2 - -5)²} = √13Q(5, - 4) R(0, - 5)
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The width of a rectangle is the length minus 6 units. The area of the rectangle is 7 units. What is the length, in units, of the rectangle?.
The length of the given rectangle is 7 units.
What is the area of the rectangle?The area of the rectangle is the product of its length and width.
I.e., A = l × w sq. units
Calculation:It is given that, the width of a rectangle is the length minus 6 units.
I.e., W = L - 6 units
Then, the area of the rectangle is
A = L × (L - 6)
But we have given that, the area of the rectangle is 7 sq. units.
So, we can write
7 = L² - 6L
⇒ L² - 6L - 7 = 0
⇒ L² - 7L + L - 7 = 0
⇒ L(L - 7) + 1(L - 7) = 0
⇒ (L + 1)(L - 7) = 0
∴ L = -1 or L = 7
The length should not be a negative value. So, the length of the given rectangle is 7 units.
Then, the width of the rectangle is
W = L - 6 = 7 - 6 = 1 unit.
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Mario's Pizza just received two big orders from customers throwing parties. The first customer, Ruth, bought 4 regular pizzas and 4 deluxe pizzas and paid $112. The second customer, Gabrielle, ordered 4 regular pizzas and 1 deluxe pizza, paying a total of $52. What is the price of each pizza?
Answer:
Regular pizzas are $8 and Deluxe pizzas are $20
Step-by-step explanation:
if you go to Desmos graphing calculator you can use it to solve this problem
We are going to make to line graphs to represent each situation.
We'll let x equal the price for regular pizzas and y be equal to the price for deluxe pizzas.
For Ruth:
4x + 4x = 112 <--- type this in the first line on the graphing calculator then hit enter to make another line
For Gabrielle:
4x + 1y = 52<---- type this in the second line you made
The two lines should intercept at the point (8,20) this interception represents the price of the pizzas. The x value (8) is the price of your regular pizzas and the y value (20) is the price for your deluxe pizzas
Solve for X. Round to the nearest tenth of a degree, if necessary. 4 S U to 22 30 T
The value of [x] in the triangle is 36.25°.
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a right angled triangle.
We can write -
tan(x°) = (22/30)
x° = tan⁻¹(22/30)
x° = 36.25°
Therefore, the value of [x] in the triangle is 36.25°.
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How much will a 0 affect my grade if I have a 72% And it’s 25 percent of my grade?
help pls
Answer:
You lose 18% and end up with 54%.------------------------------
You have completed 100% - 25% = 75% of the assignment and have a 72% score.
It gives:
0.75*72% = 54% of overall scoreWith getting zero it doesn't add anything to overall score of 54% and you lose:
72% - 54% = 18%The diameter of a circle is 18 in. Find the circumference
to the nearest tenth
Answer:
The circumference is 56.55
Answer: C≈56.55in
Step-by-step explanation
Using the formulas
C=2πr
d=2r
Solving forC
C=πd=π·18≈56.54867inC=2πr
d=2r
Solving forC
C=πd=π·18≈56.54867in
Rectangular pyramid B is the image of rectangular pyramid A after
dilation by a scale factor of 3. If the surface area of rectangular
pyramid A is 87 cm², find the surface area of rectangular pyramid B,
the image.
Answer: 261 cm²
Step-by-step explanation: 87 x 3 = 261
Answer:
783 cm²------------------------------
The area is the function of two dimensions.
The scale factor is 3. It means each dimension is 3 times greater.
Therefore the surface area is 3*3 = 9 times greater:
S(B) = 9*S(A) = 9*87 = 783 cm²Which inequality is represented in the following graph?
43 Beacuse mee smart Beacuse mee smart
Solve the system by sSolve the system by substitution. 3x+14
y=x
Step-by-step explanation:
Steps for Solving Linear Equation
3x+14y=x
Subtract x from both sides.
3x+14y−x=0
Combine 3x and −x to get 2x.
2x+14y=0
Subtract 14y from both sides. Anything subtracted from zero gives its negation.
2x=−14y
Divide both sides by 2.
2x/2=-14y/2
Dividing by 2 undoes the multiplication by 2.
x=-14y/2
Divide −14y by 2.
x=−7y
12y−15x=84
I HATE MATH
Answer:
First, you need to add 15x to both sides in order to get y by itself. Then, you need to divide all the numbers by 12. Your answer should be Y=1.25x+7. I hope this helps!
Step-by-step explanation:
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23.4 is what percent of 288? Round to the nearest tenth.
23.4 is 8.125 percentage of 288.
What are percentages?Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. A percentage can be shown by the symbol % or, less frequently, by the abbreviation 'pct'.
Calculation:1. Since 288 is the output value of the task, we assume that it is 100%.
2. We make the assumption that the value we are looking for is x.
3. If 100% = 288 then we can express that as 100% = 288.
4. Since we already know that the output result of x% equals 23.4, we can write it down as x%=23.4.
5. We now have two straightforward equations:
1) 100%=288
2) x%=23.4 where both of their right sides and left sides have the same units, allowing us to write something like this: 100%/x%=288/23.4
6. All that is left for us to do is solve the straightforward equation, and we will have our answer.
7. Calculate 23.4 as a percentage of 288.
100%/x%=288/23.4
We multiply both sides of the equation by x 100=12.307692307692 to get *x=(288/23.4)*x.
*x - we get x 100/12.307692307692=x 8.125=x by dividing both sides of the equation by (12.307692307692) to get x=8.125.
23.4 is 8.125 percentage of 288.
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How many cubes with edge length 1/5 inch fit in the prism? Show your reasoning.
The number of cubes with an edge of 1/5 inches will be 2040.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that the sides of the prism are,
2²/₅ = 2.40 inches
3¹/₅ = 3.20 inches
2 inches
The volume of the cube is,
2.40 × 3.20 = 8.16
8.16 × 2 = 16.32
The volume of a small cube is,
V = 0.2 x 0.2 x 0.2 = 0.008 cubic inches
Now we need to divide the volume by 2 since each cube is an inch as shown below.
16.32 ÷ 0.008 = 2040
The number of cubes will be 2040.
The complete question is given below.
A rectangular prism measures 2 & 2/5 inches by 3 & 1/5 inches by 2 inches. How many cubes with an edge length 1/5 inch fit in the prism? Show your reasoning.
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Se aplico un examen a 48 personas de las cuales 15% lo reprobaron, ¿Que porcentaje aprobo
el examen?
Answer:
Total APROBADOS = 41 estudiantes
Step-by-step explanation:
Total personas que tomaron el examen = 100 % = 48
Porcentaje personas reprobadas = 15 %
Luego,
Total personas reprobadas = (15%)*48
Total personas reprobadas = (0.15)*48 = 7.2 aprox 7
Luego restando del total de estudiantes, los reprobados, tendrás los APROBADOS:
Total APROBADOS = 48 - total reprobados
Total APROBADOS = 48 - 7
Total APROBADOS = 41
Could you solve and show the step by step please?
Answer:
x1 =1.317
x2=-5.317
Step-by-step explanation:
2 1/2(x-8)=4 1/2
Help :(
The expression 2 1/2 (x - 8) = 4 1/2 is solved to get the value of x to be
9 4/5How to solve the expressionThe expression, 2 1/2 (x - 8) = 4 1/2 is solved be converting to decimal
2 1/2 (x - 8) = 4 1/2
2.5 (x - 8) = 4.5
expanding to remove the parenthesis
2.5x - 20 = 4.5
collecting like terms, being mindful of change of negative to positive when crossing the equality sign
2.5x = 4.5 + 20
applying addition property
2.5x = 24.5
dividing through by coefficient of x which is 2.5
x = 24.5 / 2.5
x = 9.8
x = 9 4/5 as a mixed number
Therefore the value of x = 9 4/5
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Consider the following points on the graphs of y = cos(x) and y = cos(x/2), with the added vertical dashed lines:
what are c and d in that order?
From the given graphs the values of 'c' and 'd' are c = -0.84,
d = 0.84.
What is sinusoidal wave?
A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid. It is a smooth periodic function and a particular kind of continuous wave.
Let the graphs of y = cos(x) and y = cos(x/2) are given.
From this graphs we have to find the value of c and d.
First from y = cos(x) to find the value of 'a'.
Consider, the point [tex](a, \frac{1}{8})[/tex]
⇒
[tex]cos(a) = \frac{1}{8} \\a = cos^-^1(\frac{1}{8})\\ a = 82.82[/tex]
Now to find the value of 'c'.
Plug a = 82.82 in y = cos(x/2).
[tex]cos(\frac{82.82}{2}) = c \\c = -0.84[/tex]
Hence, the value of 'c' is 'c = -0.84'.
Now to find the value of 'd'.
Consider, the point [tex](b, \frac{1}{8})[/tex]
⇒
[tex]cosb = \frac{1}{8} \\b = cos^-^1(\frac{1}{8})\\b = 82.82[/tex]
Now, plug b = 82.82 in y = cos(x/2)
[tex]cos(\frac{82.82}{2}) = d\\ d = 0.84[/tex]
Hence, from the given graphs the values of 'c' and 'd' are c = -0.84,
d = 0.84.
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Helen ha a garden in the hape of a circle of diameter 20 m. She i going to cover all the garden with gra eed to make a lawn. Gra eed i old in boxe. Each box of gra eed will cover 58 m² of garden. 20 m
a) Taking л to be 3. 14 work out the area of the garden in m². (2)
314
b) Work out an etimate for the number of boxe of gra eed Helen need. To find your etimate, round each of the number in your working to 1 ignificant figure. You mut how your working. (2)
314/58-5. 8
5 boxe
c) Your etimate for b) i
A an overetimate
B an underetimate
C could be either
a) The area of Helen's circular garden is 314 m².
b) The estimation for the number of boxes of grass seed Helen needs, is 5 boxes.
c) B. The estimation we did in (b) is an underestimation.
How to find the area of a circle?The area of a circle is calculated by the formula,
A = πr² sq. units; r - radius
When we have the diameter, we can find the radius by
r = d/2 units
Calculation:Given that Helen has a garden in the shape of a circle of diameter 20 m.
She is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes. Each box of grass seed will cover 58 m² of the garden.
a) The area of the circular garden is
A = πr² = 3.14 × (d/2)²
⇒ A = 3.14 × (20/2)²
⇒ A = 3.14 × 100
∴ A = 314 m²
Thus, the area of Helen's garden is 314 m².
b) The number of boxes of grass seed to cover the area of 314 m² is
= area of the garden/area covered by each box of seeds
= 314 m²/58 m²
= 5.4179
So, on an estimation, there are 5 boxes of grass seed that Helen needs.
c) Here, in the above estimation, we rounded the decimal number 5.4179 to 5. Since the number is rounded to the nearest value (smallest value), the estimation is an underestimate.
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Given the diagram below,
<2 and <6 are classified as
which type of angles?
Answer:
corresponding
Step-by-step explanation:
NO LINKS! PLEASE HELP ME!
Answer:
[tex]\dfrac{17}{8}[/tex]
Step-by-step explanation:
Given statement:
The quotient of (8/5 divided by 8/10) is added to the product of (8/14 × 7/12 × 3/8):[tex]\implies \dfrac{\frac{8}{5}}{\frac{8}{10}}+\left(\dfrac{8}{14} \times \dfrac{7}{12} \times \dfrac{3}{8}\right)[/tex]
To divide two fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:
[tex]\implies \left(\dfrac{8}{5} \times \dfrac{10}{8}\right)+\left(\dfrac{8}{14} \times \dfrac{7}{12} \times \dfrac{3}{8}\right)[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times\dfrac{b}{d}=\dfrac{ab}{cd}:[/tex]
[tex]\implies \left(\dfrac{8 \times 10}{5\times 8}\right)+\left(\dfrac{8 \times 7 \times 3}{14 \times 12 \times 8}\right)[/tex]
Carry out the multiplications:
[tex]\implies \dfrac{80}{40}+\dfrac{168}{1344}[/tex]
Simplify the fractions by dividing the numerator and denominator by the GCF:
[tex]\implies \dfrac{80 \div 40}{40\div 40}+\dfrac{168 \div 168}{1344 \div 168}[/tex]
[tex]\implies \dfrac{2}{1}+\dfrac{1}{8}[/tex]
Make the denominators of both fractions the same:
[tex]\implies \dfrac{2 \times 8}{1\times 8}+\dfrac{1}{8}[/tex]
[tex]\implies \dfrac{16}{8}+\dfrac{1}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]
[tex]\implies \dfrac{16+1}{8}[/tex]
[tex]\implies \dfrac{17}{8}[/tex]