which is an incorrect rounding for 53.864

A.54

B.53.87

C.53.9

D.50

Answer:

[tex]x=(-2,\frac{5}{3} )[/tex]

Step-by-step explanation:

1)  We will use the matrix method to solve this problem.

[tex]\left[\begin{array}{ccc}-2/3&1&3\\1&0&-2\\\end{array}\right][/tex]

2) Swap Row₁ and Row₂ to make row reduction easier.

[tex]\left[\begin{array}{ccc}1&0&-2\\-2/3&1&3\\\end{array}\right][/tex]

3) Apply to Row₂ :  Row₂ + [tex]\frac{2}{3}[/tex] Row₁.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\end{array}\right][/tex]

4)  Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

5) Apply Row₁ : Row₁ - 0 Row₂.

[tex]\left[\begin{array}{ccc}1&0&-2\0\\0&1&5/3\end{array}\right][/tex]

6) Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in reduced row echelon form.

7) Therefore,

[tex]x=-2\\x=\frac{5}{3}[/tex]

Answer:

Step-by-step explanation:

=132/3

=44 books per shelf

since maximum weight of a book is 2kgs,

=44(2)

=88

Answer:

D.) Yes, because it passes the vertical line test.

Step-by-step explanation:

For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.

In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.

Yes, The graph is function because it passes the vertical line test.

We have to given that,

A graph of function is shown in image.

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Hence, By given graph,

it passes the vertical line test.

So, Graph shown is a function.

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Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1. So, 23 divided by 23 is 1.

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

Answer:

Step-by-step explanation:

Let f(x) = y

y = 2x - 3

x = y + 3 / 2

inverse of f(x) = x + 3 / 2

f [g(2)]

f [2+3/2]

f [5/2]

(2×5/2)-3

5-3

= 2

The number of simulations in which was there was an on-time departure for all three flights is; 6

We are given;

Number of Simulations = 20

Numbers that represent late departure = 0, 1, 2 or 3

Numbers that represent On-time departure = 4, 5, 6, 7, 8 or 9.

Now, the 20 simulations as seen online are;

339 931 317 444 432 858 194 192 649 709

742 626 702 258 955 880 505 854 774 132

To know the number of simulations that were on-time departure, we need to find the ones that don't include 0, 1, 2 or 3.

Looking at the simulations, the ones that represent on-time departure are 444, 858, 649, 955, 854, 774.

Thus, there are 6 simulations in which was there an on-time departure for all three flights

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Inequalities help us to compare two unequal expressions. The correct option is B.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair which will satisfy both the inequalities will be the solution to the system of inequalities. Therefore, let's substitute each solution in the given inequalities,

A.) (–3, 4)

          4 > (-3)² + 1

Since the first inequality is not satisfied this is not a part of the solution.

B.) (–2, 6)

          6 > (-2)² + 1

          6 > 5

          6 < (-2)² - (-2) + 1

          6 < 7

Since both the inequalities are satisfied this is the solution to the given system of inequalities.

C.) (0, 2)

          2 > 0 + 1

          2 > 1

          2 < (0)² - (0) + 1

          2 < 1

Since the second inequality is not satisfied this is not a part of the solution.

B.) (2,4)

          4 > (2)² + 1

          4 > 5

Since the first inequality is not satisfied this is not a part of the solution.

Hence, the correct option is B.

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The graph of the parent function is given below;

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given function is;

         1, if -1<x≤0

f(x) = 2, if 0<x≤1

          3, if 1<x≤2

Now, the graph of given function is given below.

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Answer:

The correct graph is in the image below

Step-by-step explanation:

Answer:

(0,-2)

Step-by-step explanation:

y intercept is that line that intercepts with the y axis

when x is 0 then y value.

The measure of angle 2 is 73.

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

As, angle 1 and 2 are supplementary

<1 + <2 + (6x +5) =180

And, by corresponding angle, <1= 48

So, 48 + <2 + (6x +5)= 180

          <2 + (6x +5) = 132

Also x= 9

then, <2 = 132 - 59

        <2= 73.

Hence, measure of <2 is 9.

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Answer: (x – 1)(x + 1)(x + 5) = 0

x – 1 = 0, so x =  1

x + 1 = 0, so x =  -1

x + 5 = 0, so x = -5

Answer:200 minutes

Step-by-step explanation:

1 minute = 60 seconds.

6/3 = 2 (20 seconds) 1 photo every 20 seconds.

600x20 = 12000. seconds.

12000/60 = 200 (200 minutes)

Answer:

200 photos

Step-by-step explanation:

1 min = 3 photos

X min = 600 photos

3 X = 600

X = 600/3

X = 200

Answer:

A

Step-by-step explanation:

y = x² - 6x - 4

(x - 3)² - 3² - 4 = 0

(x - 3)² - 13 = 0

(x - 3)² = 13

x - 3 = ±√13

x = 3 ± √13

The measure of angle AVB = 131 degree .

A line with a starting point but extends upto infinity in one direction.

It is given that

Measure of angle AVF = 32

the measure of angle FVB = 2x + 9

the measure of angle AVB = 3x - 4

The angle AVB = AVF + FVB

this can be written as

3x- 4 = 2x+9 +32

x = 32+9+4

x = 45 degree

Therefore the measure of AVB = 3*45-4 = 131 degree

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Answer:

Step-by-step explanation:

Equation

x + 3*x + 5 =33

Solution

4x + 5 = 33

x = 3

4*3 + 5 =? 33

12 + 5 = ? 17         x is not 3

x = 5

4*5 + 5 = ? 33

20 + 5 = 25          x is not 5

x = 7

4*7 + 5 =? 33

28 + 5 = 33             x = 7 is the answer

The value of the variable x will be 7 that holds true for the equation.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A number is 5 more than 3 times another number.

The sum of the two numbers is 33.

Let the number be x.

Then the another number will be 3x + 5.

Then the equation will be

x + 3x + 5 = 33

Then the value of x will be

4x + 5 = 33

4x = 28

x = 7

Then the value of the variable x will be 7 that holds true for the equation.

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Answer:

function

Step-by-step explanation:

The transformation which would be a horizontal reflection and a dilation of scale factor ½ of the L shape is as in the attached image.

The term horizontal reflection with respect to transformation in mathematical context simple means that the shape is reflected over the vertical axis(y-axis as mirror). The dilation of a scale factor of ½ simply means that the shape reduces to half it's original size.

Hence, it follows that the attached image represents the transformation.

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Answer:

D 18

Step-by-step explanation:

100% = 50 (all students)

1% = 100%/100 = 50/100 = 1/2 = 0.5

we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.

there are 9 votes for green.

9/ 0.5 = 18%

la componente "cubica" será aquella que tenga un exponente igual a 3.

Un polinomio tiene la forma general:

[tex]p(x) = a_n*x^n + ... + a_1*x^1 + a_0[/tex]

Donde todos los exponentes de x son numeros naturales.

Particularmente, la componente "cubica" será aquella que tenga un exponente igual a 3.

Entonces, por ejemplo, en:

[tex]p(x) = 4*x^5 + 2*x^4 + 5*x^3[/tex]

La parte cubica será:

[tex]5*x^3[/tex]

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Answer:

C) 10320-0.961 = 7,507 Mt

that is my answer please have a great day

The factored form of the expression is 2(g-h)(12g+5h)

A quadratic Expression is what can be written in the form of

ax²+bx +c

The given quadratic expression is

24g² -gh -10h²

10g² - 10h² +14g² -gh

10(g+h)(g-h) +14 g(g -h)

(g-h)(10 g +10h +14g)

2(g-h)(12g+5h)

Therefore the factored form of the expression is 2(g-h)(12g+5h).

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Answer:

y = - 8

Step-by-step explanation:

y = 3 is a horizontal line that includes all of the x coordinates

   just need to find parallel

           y = - 8

The range of the function is

[tex]y \leqslant 1[/tex]

Answer:

(-1 ; 3)

Step-by-step explanation:

when they say find the ordered pair they simply mean find the corresponding y value when x = -1

* where you see x substitute-1 *

f(-1) = 3(-1) + 6

=3

The lines of symmetry for all the figures have been determined.

A symmetry in which one half of the object is symmetrical to thew other half

A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals

A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals

A Trapezium can have 0  or 1 lines of symmetry depending upon the length of the non parallel sides.

An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.

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Answer:

Step-by-step explanation:

got it right

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

Answer:

x+(x+1)+(x+2)=42

3x+3=42

3x=42-3

3x/3=39/3

x=13

Step-by-step explanation:

hope I helped

[tex]\huge\underline{ Answer -}[/tex]

Given ,

[tex]\boxed{p = \frac{f}{a} } \\ [/tex]

where ,

the initial values of a and f are -

a = 70

a = 20

[tex]\therefore \: f = 80 \\ a = 30[/tex]

Then ,

[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]

hope helpful ~