let have the following distribution: 1 2 3 4 0.2 0.3 0.1 0.4 find (write it up to first decimal place).

Answers

Answer 1

After solving the value of E(x^2 + 3) is 11.7.

The distribution of x is:

x            f(x)              x^2             x^2·f(x)

1             0.2               1                    0.2

2            0.3               4                    1.2

3             0.1               9                    0.9

4             0.4              16                   6.4

We have to determine the value of E(x^2 + 3).

We can write it as

E(x^2 + 3) = E(x^2) + 3...........(1)

As E(x^2) = Sum of x^2·f(x)

E(x^2) = 0.2 + 1.2 + 0.9 + 6.4

E(x^2) = 8.7

Now putting the value of E(x^2) in equation 1, we get

E(x^2 + 3) = 8.7 + 3

E(x^2 + 3) = 11.7

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The complete question is:

Let x have the following distribution:

x            1         2         3         4

f(x)        0.2     0.3      0.1      0.4

Find E(x^2 + 3) (write it up to first decimal place).


Related Questions

identify the nominal categorical variables in this study. (select all that apply.) A. voting yes percentage B. country C. issue type D. city E. year F. there are no nominal categorical variables.

Answers

Nominal categorical data is a categorical variable with two or more values, with no order. The examples of nominal categorical data here are the issue type, country, city.

Categorical data can be divided as two as per the variables. They are nominal and ordinal. In nominal categorical data, there will be two or more data points, but they are not ranked. The hair color can be red/blond/brown/black etc. But these cannot be ranked by taking one over the other.

In ordinal categorical data, there we can assign an order on the data points. Like grading system in marks of students, size comparison like large, medium, small. Here we could rank these in order.

Year can sometimes be nominal and sometimes ordinal. It is as per the context. If we are using it to calculate time it is ordinal.

So here we could not rank of variables in country, issue type, city. So all are nominal categorical data.

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The perimeter of a triangular park shown on the right is 11x-6.
What is the missing length?

Answers

Missing length= 11x-6 -(4x+2+x-3)
= 11x- 6 -(5x-1)
= 11x -6 -5x + 1
Answer= 6x-5

The function f(x) = 1.1x³-36x² +260x + 550 below models the number of discharges from the military, f(x), of active-duty gay service members under the "don't ask, don't tell years after 1994. Complete parts a and b. ​

Answers

The slope of the secant line is 137.

What is the rate of change of discharges between 1994 and 1995?

The rate of change of discharges between 1994 and 1995 can be determined by taking the first derivative of the function, f'(x) = 3.3x² - 72x + 260. When x = 1994, the rate of change is -6. This means that the discharges decreased by 6 from 1994 to 1995.

The average rate of change of discharges from 1994 to 2000 can be determined by taking the average of the first derivative of the function for x = 1994 and x = 2000. When x = 1994, the first derivative is -6 and when x = 2000, the first derivative is 148. The average rate of change of discharges from 1994 to 2000 is therefore 71.

f(0) = 1.2 (0)3-36 (0)2+262/0)+570 = 570

+(4) = 1-2(4)3-36(4)2 +262 (4) +570 = 1118.8

Slope of the secant line = [tex]\dfrac{1118.8 - 570}{4-0}[/tex]

Slope of the secant line = 137

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solve the equation x−2=−9

Answers

Answer:

Step-by-step explanation:

x-2=-9

Add 2 on both sides

x=-7

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

x−2=9

Add 2 to both sides.

x=9+2

Add 9 and 2 to get 11.

x=11

pls tell me if wrong

kendra has $7.35 in her purse. she needs at least $2.87 more to buy a special bead. what is the total amount, x, she needs for the bead? which inequalities can be used to represent the situation? select all that apply.

Answers

Answer:

$10.22

Step-by-step explanation:

The total amount Kendra needs for the bead is $2.87 more than the amount she currently has in her purse, which is $7.35. Therefore, x = $7.35 + $2.87 = $10.22.

The inequality that represents this situation is:

x ≥ $7.35 + $2.87

x ≥ $10.22

Another way to represent this would be:

x - $7.35 ≥ $2.87

x ≥ $10.22

Both of these inequalities represent the same thing, that x (the total amount Kendra needs for the bead) must be greater than or equal to $10.22.

Can someone help me with question number 3 and 4 please?​

Answers

3) The components of composition between two functions are [tex]f(n) = n^{2}+ 5^{n}[/tex] and g(n) = n² + 1.

4) The composition between functions g(n) = √(4 + n + √n) and h(n) = n⁴ + 8 is the function (g ° h)(n) = √[4 + n⁴ + 8 + √(n⁴ + 8)].

How to apply composition between functions

In this problem we find two cases of composition between functions, that is, a operation between two functions, so that the input of the first function (f(x)) is substituted by the entire second function (g(x)), that is:

f ° g(x) = f [g(x)]

Case 3 - If we know that [tex](f\,\circ \,g) (n) = (n^{2}+1)^{2}+5^{n^{2}+1}[/tex], then the components of the composition of functions are:

[tex]f(n) = n^{2}+ 5^{n}[/tex]

g(n) = n² + 1

Case 4 - If we know that g(n) = √(4 + n + √n) and h(n) = n⁴ + 8, then the composition between the two functions is:

(g ° h)(n) = √[4 + n⁴ + 8 + √(n⁴ + 8)]

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What is the triangle's base, b?

Answers

A=1/2bh and b=2A/h so

b=2A/h =2(12cm^2)/3cm=8cm

Solution :

In order to find the base

We apply the area of a triangle formula to find the base

We know the formula to find the area of a triangle is,

[tex]A =\frac{1}{2}XbXh[/tex]

Here the area and the height is given

So the base is

[tex]12 = \frac{1}{2} X bX3[/tex]

Substituting the values we get

[tex]\frac{12X2}{3} = b[/tex]

[tex]8cm = b[/tex]

4. Determine the equation of the parabola with x-intercepts

a) -4 and 3, and that passes through (2, 7)

b) 0 and 8, and that passes through (-3, -6)

c) √7 and - √7, and that passes through (-5, 3)


5. Determine the equation of the parabola with vertex

a) (-2, 5) and that passes through (4, -8)

Answers

Answer:

4.

a.) -7/6 (x + 4)(x - 3) = y

b.) -6/121 (x-8)^2 = y

c.) 1/6 (x-sqrt 7)(x + sqrt 7) = y

5.

a.) -13/36 (x+2)^2 + 5 = y

Step-by-step explanation:

4. The intercept form of a quadratic equation is

[tex]y=a(x-p)(x-q)[/tex], where a is a number determining things like if the parabola opens up or down and how wide or narrow the parabola, while p and q are the x-intercepts.

Because we're given the x-intercepts and a point on the parabola, we can simply plug everything in and solve for a to find the equation of the parabola:

a.):

[tex]y=a(x-(-4))(x-3)\\y=a(x+4)(x-3)\\\\7=a(2+4)(2-3)\\7=a(6)(-1)\\7=-6a\\-7/6=a\\\\y=-7/6(x+4)(x-3)[/tex]

b.):

[tex]y=a(x-8)^2\\\\-6=a(-3-8)^2\\-6=a(-11)^2\\-6=121a\\-6/121=a\\\\y=-6/121(x-8)^2[/tex]

c.):

[tex]y=a(x-\sqrt{7})(x-(-\sqrt{7}))\\ y=a(x-\sqrt{7})(x+\sqrt{7})\\ \\ 3=a(-5-\sqrt{7})(-5+\sqrt{7})\\ 3=a(25-5\sqrt{7}+5\sqrt{7}-7)\\ 3=a(25-7)\\ 3=18a\\ 3/18=1/6=a\\ \\ 1/6(x-\sqrt{7})(x+\sqrt{7})=y[/tex]

5. The vertex form of a quadratic equation is

[tex]y=a(x-h)^2+k[/tex], where a is the same type of number as in the intercept form and (h, k) is the vertex.

Like the intercept form of the equation, we're given everything except a and thus we can plug in what we have and solve for a:

[tex]y=a(x-(-2))^2+5\\y=a(x+2)^2+5\\\\-8=a(4+2)^2+5\\-8=a(6)^2+5\\-8=36a+5\\-13=36a\\-13/36=a\\\\y=-13/36(x+2)^2+5[/tex]

what is the constant in 8b + 3.2

Answers

The constant is 3.2 because a constant can’t have a variable such as b.

Lara is a wildlife researcher. They were analyzing the mean and median lengths of
7
77 fish their team had observed. The fish all had different lengths between
15

cm
15cm15, start text, c, m, end text and
33

cm
33cm33, start text, c, m, end text.
Lara found out that they were misreading the longest length. It was actually
88

cm
88cm88, start text, c, m, end text, not
33

cm
33cm33, start text, c, m, end text.
How will this length increasing affect the mean and median?

Answers

Using their concepts, we have that the mean will be increased and the median will remain constant.

What is the mean of a data-set?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile, which is the middle value of the distribution.

The largest value is the 7th observation, therefore it will be included in the calculation of the mean.

Since this observation have an increased value, the sum of all observations will be increased while the number of observations remains constant,

So the mean will be increased.

Hence, for a distribution of 7 observations, we have that:

The first three observations are the first half.

The 4th observation is the median.

The last three observations are the second half.

Here only the last observation changes, not the fourth, hence the median remains constant.

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How do I complete this

Answers

Answer:

Point A: y = 552

Point B: y = 123

Step-by-step explanation:

y = -13x - 46

A: x = -46

y = -13(-46) - 46  ==> plugin -46 for x in y = -13x - 46

y = 598 - 46

y = 552

A: x = -13

y = -13(-13) - 46  ==> plugin -13 for x in y = -13x - 46

y = 169 - 46

y = 123

Consider the initial value problem
2 t y^{\,\prime} = 8 y, \ \ \ y(-1) = 2.
Find the value of the constant C and the exponent r so that y = C t^r is the solution of this initial value problem.
y = help (formulas)
Determine the largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
help (inequalities)
What is the actual interval of existence for the solution (from part a)?

Answers

The actual interval of existence for the solution is all real numbers, including t = 0.

a. The characteristic equation for the differential equation is

2t dy/dt = 8y,

which gives us

dy/dt = 4/t y.

Separating variables, we have

dy/y = 4/t dt,

which integrates to

ln|y| = 4 ln|t| + C,

where C is an arbitrary constant of integration.

Taking the exponential of both sides, we obtain

|y| = Ce^(4ln|t|),

which gives us

y = C t^4.

Using the initial condition y(-1) = 2, we can find the value of C:

y(-1) = C(-1)^4

2 = C(-1)^4

C = -2.

So the solution to the initial value problem is

y(t) = -2 t^4.

b. The largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution is t ≠ 0, since the coefficient of the differential equation is undefined at t = 0.

c. The actual interval of existence for the solution is all real numbers, including t = 0.

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During her first week of work, a physical therapist estimated that therapy sessions would
last about 30 minutes each. However, the sessions take longer than expected. On one
day, the sessions lasted for 47 minutes, 53 minutes, 32 minutes, 50 minutes, and 45
minutes. How long should the physical therapist expect to spend at a therapy session?
Round to the nearest whole number.

Answers

If during her first week of work, a physical therapist estimated that therapy sessions would last about 30 minutes each. The time the physical therapist expect to spend at a therapy session is: about 45 minutes.

How to find the  mean ?

In order to find the expected duration of a therapy session, you can calculate the mean (average) of the durations for the five sessions.

The mean is calculated by adding the durations of all the sessions and then dividing by the number of sessions.

Mean = (47+53+32+50+45) / 5

Mean = 227/5

Mean = 45 minutes

Therefore the physical therapist should expect to spend about 45 minutes on average for each therapy session.

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For the given decision algorithm, find how many outcomes are possible.

Step 1
Alternative 1: 1 outcome
Alternative 2: 5 outcomes

Step 2
Alternative 1: 4 outcomes
Alternative 2: 3 outcomes
Alternative 3: 1 outcome

Answers

The total number of outcomes that are possible are given as follows:

48 outcomes.

How to obtain the number of outcomes?

The number of outcomes for each case is obtained using the Fundamental Counting Theorem, with the multiplication of the number of outcomes for each trial.

The number of outcomes in each step is given as follows:

Step 1: 1 + 5 = 6 outcomes.Step 2: 4 + 3 + 1 = 8 outcomes.

Hence the total number of outcomes that are possible are obtained as follows:

N = 6 x 8

N = 48.

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What’s the measure of AC?
What’s the measure of AC’
What’s the measure of C’B

Answers

The measure of AC is 12 units.

The measure of AC' is 6 units

The measure of C'B' is 10.5 units.

How to find the measure of a triangle?

The midsegment of a triangle is a line connecting the midpoints between two sides of a triangle. Therefore, the segment is parallel to the third side and half of it.

Therefore, applying mid segment principle,

C'B' = 1 / 2 (21)

C'B' = 21 / 2

C'B' = 10.5 units

Hence, using mid segment principle

AC' = CC' = 6

Therefore,

AC = 6 + 6 = 12 units

using mid segment principle,

AC' = 6 units

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27. (a) Verify that if c is a constant, then the function defined piecewise by So = for x =c, y(x) = (x – c)2 for x > 0 satisfies the differential equation y' = 2 y for all x (in- cluding the point x = c). Construct a figure illustrating the fact that the initial value problem y' = 2/7, y(0) = 0 has infinitely many different solutions. (b) For what values of b does the initial value problem y' = 2/y, y(0) = b have (i) no solution, (ii) a unique solution that is defined for all x?

Answers

(a) Verifying that y(x) = (x - c)^2 satisfies the differential equation y' = 2y:

To verify that the function y(x) = (x - c)^2 satisfies the differential equation y' = 2y, we can find the derivative y' and substitute it back into the equation:

y' = d/dx [(x - c)^2] = 2(x - c)

So, y' = 2y if and only if 2(x - c) = 2y, which can be simplified to x - c = y.

Therefore, y(x) = (x - c)^2 satisfies the differential equation y' = 2y for all x, including x = c.

(b) Values of b for which the initial value problem y' = 2/y, y(0) = b has no solution or a unique solution:

(i) No solution: If b = 0, the initial value y(0) = 0 and the denominator of the right-hand side of the differential equation y' = 2/y would be 0, making the equation undefined at that point. Therefore, the initial value problem y' = 2/y, y(0) = 0 has no solution.

(ii) Unique solution defined for all x: For all other values of b (b ≠ 0), the initial value problem y' = 2/y, y(0) = b has a unique solution that can be found using standard methods of solving initial value problems. This solution will be defined for all x.

The figure illustrating the fact that the initial value problem y' = 2/7, y(0) = 0 has infinitely many different solutions would show a family of curves that are all solutions to the differential equation y' = 2/7, with different starting values y(0) leading to different curves. This demonstrates that there are infinitely many different solutions to the initial value problem.

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IREADY MATH AREA QUESTIONS PLS HELP TTYYY!!
A circle has a diameter of 10 cm. A rectangle has a length of 10 cm and a width of 5 cm.

Determine how the areas of the circle and the rectangle are related.

Use the drop-down menus to describe how the areas are related.

Area of circle: A = r²
1) The rectangle's length is equal to ______of the circle,
THIS BLANKS OPTION CHOICE:
A) the radius
B) the diameter
C) the circumference
D) half the circumference
E) twice the circumference

2) while the The rectangle's length is equal to rectangle's width is equal to _______. the circle.
THE BLANKS OPTION:
A) the radius
B) the diameter
C) the circumference
D) half the circumference
E) twice the circumference

3) So, the area of the circle is _______ of the Pick of area of the rectangle.
THE BLANK ANSWER CHOICES:
A) one fifth
B) two fifths
C) one half
D) twice

Answers

Answer:

The rectangle's length is equal to the diameter of the circle.while the rectangle's width is equal to half the circumference.So, the area of the circle is approximately two times the area of the rectangle.

[tex](\frac{3p}{7}+\frac{7}{6p})^2 -(\frac{3p}{7}-\frac{7}{6p})^2[/tex]
Solve with steps please
ty :)

Answers

Answer:

The expression simplifies to:

[tex](\frac{3p^2 + 49}{42p})^2 -(\frac{3p^2 - 49}{42p})^2[/tex]

Using the difference of squares identity, the expression further simplifies to:

[tex]\frac{98p}{42p^2} = \frac{98}{42p}[/tex]

Step-by-step explanation:

A piecewise function f (x) is defined by f of x is equal to the piecewise function of 2 to the power of the quantity x plus 1 end quantity minus 3 for x is less than or equal to 2 and the quantity 10 over x for x is greater than 2

Part A: Based on the graph of f (x), what is the range? (5 points)

Part B: Determine the asymptotes of f (x). (5 points)

Part C: Describe the end behavior of f (x). (5 points)

Answers

Part A: The range of a function is the set of all possible outputs (y-values) for the given domain of the function. In this case, the domain of f(x) is all real numbers. We can find the range of f(x) by analyzing the two different parts of the piecewise function:

For x <= 2, f(x) = 2^(x+1) - 3. The minimum possible output for this function is y = -1 (when x = -1) and the maximum possible output is y = 3 (when x = 0).

For x > 2, f(x) = 10/x. The minimum possible output for this function is y = 0 (as x approaches infinity) and the maximum possible output is y = 10 (when x = 2)

So, the range of f(x) is [-1, 10].

Part B: The asymptotes of a function are the lines that the graph of the function approaches but never touches. In this case, the graph of f(x) has a vertical asymptote at x = 0, because the function is not defined at x=0.

Part C: The end behavior of a function is the behavior of the function as the input (x) approaches positive or negative infinity. In this case, the function f(x) = 10/x as x > 2, as x approaches positive infinity the output(y) approaches 0, and as x approaches negative infinity the output(y) does not exist. Therefore, the end behavior of f(x) is that it approaches 0 as x approaches positive infinity.

I bet no one can do this. Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100

Answers

Answer:

It is a well-known fact that for any natural number k, there are no non-zero integers x, y, and z that satisfy x^3 + y^3 + z^3 = k, unless k = 1 or k = 8. This is known as Fermat's Last Theorem.

However, for k = 1, we have the solution (x, y, z) = (1, 0, 0) and for k = 8, we have the solution (x, y, z) = (2, −1, 1)

It's important to note that this problem is a complex mathematical problem, which was solved only by Andrew Wiles in 1994 using advanced mathematical theories such as Iwasawa theory and Galois representations.

the length of a rectangle is (2x + 3) ft. and the width is (x - 4) ft. Find the perimeter and area in terms of x.

Answers

The perimeter of the rectangle is (6x - 2)ft and the area of the rectangle is (2x^2 - 5x - 12) square ft.

What is a rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

We are given that the length of a rectangle is (2x + 3) ft. and the width is

(x - 4) ft.

We know that perimeter of rectangle = 2(Length + Width)

So,

⇒Perimeter = 2(2x + 3 + x - 4)

⇒Perimeter = 2(3x - 1)

⇒Perimeter = (6x - 2)ft

We know that area of rectangle = Length * Width

So,

⇒Area = (2x + 3) * (x - 4)

⇒Area = 2x^2 - 8x + 3x - 12

⇒Area = (2x^2 - 5x - 12) square ft

Hence, the perimeter of the rectangle is (6x - 2)ft and the area of the rectangle is (2x^2 - 5x - 12) square ft.

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 When solving equations - or "undoing" the operations to get "x" by itself on one side of the equation - we use INVERSE OPERATIONS.
Match the operation with its inverse operation.
Column A
2
Addition
Multiplication
Square
Cube
Column B
a. Divide by 3
b. Cube root
Divide by 2
d. Square root
Subtraction
f.
Division

Answers

For given arithmetic operations, matching is as:

Addition              - Subtraction

Multiplication      - Division

Square                - Square root

Cube                    - Cube root

What are arithmetic operations?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

These basic mathematical operations (+, -, ×, and ÷) we use in our everyday life. Whether we need to calculate the annual budget or distribute something equally to a number of people, for every such aspect of our life, we use arithmetic operations.

The four basic arithmetic operations in Maths, for all real numbers, are:

Addition (Finding the Sum; ‘+’)

Subtraction (Finding the difference;  ‘-’)

Multiplication (Finding the product; ‘×’ )

Division (Finding the quotient; ‘÷’)

As, inverse operations inverses the actual value

Addition                      - Subtraction

Multiplication              - Division

Square                        - Square root

Cube                           - Cube root

hence, they will be matched accordingly.

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q>d, if = 3 pls tell me the right answer

Answers

Sorry but i can't really read the writing so... Maybe try take a pic again

Find the measure of angle x in the figure below: angle x⁰ angle 75⁰ 75⁰

a) 15⁰
b) 25⁰
c) 30⁰
d) 60⁰​

Answers

the measure of the angle x is c)30°

Answer:

30 degrees

Step-by-step explanation:

In the bottom triangle,

Both angles are 75 degrees, so their sum is 75 + 75 = 150 degrees
The remaining angle is 180 - (sum of the two other angles)
= 180 - ( 75 + 75)
= 30 degrees

As this angle is a the vertically opposite angle to x, it will be equal to x
∴ x = 30 degrees

what is the correct answer

Answers

The required meaning of the word sped is A special education student.

What is a noun?

The noun is defined as any word used to identify any of class of people, places, or things are called noun.

Here,
Sped is a noun word that tends is meaning toward education, which has meaning as special education student. The plural of sped is speds while in british english sped is used as a verb past tense and past participle of speed.

Thus, the required meaning of the word sped is A special education student.

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Please help me with this question.

Answers

6789
799%799
688y7899
A08=896=+779

Consider the following input-output table. Row P Q R S
1 1 1 1 0
2 1 1 0 1
3 1 0 1 0
4 q 0 0 0
5 0 1 1 0
6 0 1 0 1
7 0 0 1 0
8 0 0 0 0
The output column, S, was created from the student ID 21444368 using the algorithm: - If ID digit n (left-to-right) is an even integer, place a 0 in S, row n (top-down) - If ID digit n (left-to-right) is an odd integer, place a 1 in S, row n (top-down) Create a similar table, but with S reflecting the result of the algorithm applied to your student ID (do this on scratch paper). On the quiz essay: 1. Record your student ID's column S as an ordered, horizontal list. For the example given, the list would be S=(0,1,0,0,0,1,0,0). 2. Write the disjunctive normal expression that would implement your student ID input/output table. Do not reduce the expression. Use the words "or." and "not" for the operators, and the letters P,Q,R, and S for the variables. For full credit show parentheses where required.

Answers

The output column, S, of the given input-output table was created from the student ID 21444368 using an algorithm where if the student ID digit is an even integer, a 0 is placed in the corresponding row of column S, and if the student ID digit is an odd integer, a 1 is placed in the corresponding row of column S.

Student ID: 81725225

P Q R S

1 1 1 0

1 1 0 1

1 0 1 1

0 1 0 0

0 0 1 1

0 1 1 0

0 0 0 1

Student ID: 81725225

P: The first digit of my student ID is 8 so it is an even integer, therefore I place a 0 in row 1 of column P.

Q: The second digit of my student ID is 1 so it is an odd integer, therefore I place a 1 in row 2 of column Q.

R: The third digit of my student ID is 7 so it is an odd integer, therefore I place a 1 in row 3 of column R.

S: The fourth digit of my student ID is 2 so it is an even integer, therefore I place a 0 in row 4 of column S.

The resulting table is:

P Q R S

1 1 1 0

1 1 0 1

1 0 1 1

0 1 0 0

0 0 1 1

0 1 1 0

0 0 0 1

The output column, S, of the given input-output table was created from the student ID 21444368 using an algorithm where if the student ID digit is an even integer, a 0 is placed in the corresponding row of column S, and if the student ID digit is an odd integer, a 1 is placed in the corresponding row of column S. The same algorithm was applied to my student ID 81725225, resulting in the table shown above.

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2x-y≤-3

graph the inequality

Answers

Therefore , the solution of the given problem of inequality graph comes out to be  the graph of the inequality 2x - y ≤ -3 is a line that cuts through the x-y plane

What do you mean by inequality graph?

An inequality graph is a graph that represents the solution set of an inequality, showing the values of the independent variable (usually represented on the x-axis) for which the inequality is true.

Here,

An inequality can be represented graphically by shading the region on a coordinate plane that satisfies the inequality. The direction of shading (above or below the line) depends on the inequality symbol.

The graph of the inequality 2x - y ≤ -3 in the x-y plane can be plotted by finding the boundary line for the inequality and shading the region that satisfies the inequality. To do this, we can start by setting the equation 2x - y = -3 and finding the x- and y-coordinates of the points on the line. Then we can plot these points and draw the line that connects them.

Next, we will determine which side of the line represents the solution set. To do this, we can pick a point that is not on the line and substitute its x- and y-coordinates into the inequality. If the inequality is true for the point, we shade the region that contains the point. If the inequality is false, we shade the region that does not contain the point.

So the graph of the inequality 2x - y ≤ -3 is a line that cuts through the x-y plane and is shaded on one side. The shaded region represents all the x- and y-coordinates that satisfy the inequality.

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Original discount price of a puppy $169.95. Discount 45%. Tax 6%.

Answers

Answer:

99.08

Step-by-step explanation:

169.95*(1-45%)*(1+6%) = 99.08

Answer:

400.33

Step-by-step explanation:

haul price= 377.67

tax=22.66

377.67+22.66=400.33

Find the error and describe it

Answers

Answer:

Step-by-step explanation:

the error, based on the question, the eqution has 4 solution for the X

listed as (4, -4, -3, 1)

as X solution in verticial , put all the X value into the F(x) to find the Y valuein horizontal value

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