- (- 12)=
please help me ​

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Answer 2

Answer:

12

Step-by-step explanation:

When you multiply two minus signs, you get a positive sign.

- * - = +

So -(-12) = + 12

Hope this helps!


Related Questions

A package of 6 pairs of insulated costs ​$38.94. What is the unit price of the pairs of ​?

Answers

The CORRECT answer is:

$6.49 per pair

Step-by-step explanation:

38.94 divided by 6 = 6.49

6.49 <== Add the "$" symbol <=== $6.49

Please write a C programing code, debug and run for the following programs. Then you must upload the following items for each question by using add file option: 1- The actual program code with extension ".c" 2- The screenshot of both code and output screen Write a C programing code. This code read a decimal number and calculate the Logarithm base 10 of the entered number. The output of the program must be the same as given sample below. Enter a number: 2.547 Logarithm base 10 of 2.547 0.4060 Paragraph +v V B I U A E Y S Lato (Recom DC V 19px V L & 3 e G 3 ⠀ 30 ^ ENG 125 Main Content 7:54 PM 2022-06-06

Answers

To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.

Here's the C programming code to calculate the logarithm base 10 of a decimal number:

```c

#include <stdio.h>

#include <math.h>

int main() {

   double number, result;

       printf("Enter a number: ");

   scanf("%lf", &number);

       result = log10(number);

       printf("Logarithm base 10 of %.3lf: %.4lf\n", number, result);

       return 0;

}

```

To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.

Please note that I am unable to directly receive or view any files you upload. If you have any questions or need further assistance while running the code, feel free to ask.

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Corey has 4929 songs in his computer's music library. The songs have a mean duration of 248.2 seconds with a standard deviation of 113.32 seconds. One of the songs is 399 seconds long. What is its z-score?

Answers

Answer: In order to calculate a z-score value, we need to use the following equation:

Where, x is the observed value,

μ is the mean, and

σ is the standard deviation of the sample

In this example,

solving this, we obtain a Z-score of 0.9957

which equation represents a line that is parallel to y = 4x + 3 and passes through the point (-3, 2)




50 points

Answers

Answer:

it should be y= -4x + 10

Step-by-step explanation:

hope this helps.

A line passes through the point (9, 7)and has a slope of 4/3
Write an equation in slope-intercept form for this line.

Answers

\(\displaystyle\\Answer:\ y=\frac{4}{3}x-5\)

Step-by-step explanation:

\(y=mx+b\\\)

\(\displaystyle\\The\ slope\ m=\frac{4}{3} \\\Rightarrow\ y=\frac{4}{3}x+b\)

A line passes through the point (9, 7)

Thus,

\(\displaystyle\\x=9\ \ \ \ y=7\\\\7=\frac{4}{3} (9)+b\\\\7=\frac{4(9)}{3} +b\\\\7=\frac{36}{3} +b\\\\7=\frac{3(12)}{3} +b\\\\7=12+b\\7-12=12+b-12\\-5=b\\So,\ y=\frac{4}{3}x-5\)

A line passes through the point (9, 7)and has a slope of 4/3Write an equation in slope-intercept form

Consider the series ∑=1[infinity]∑n=1[infinity]an where =(−1)+913an=(−1)n+91n3.Find the sum of the first four terms of the series.4=s4=equation editorEquation Editor(Remember that you can make Webwork do your calculations for you!)Using the alternating series error estimation theorem, find a bound for the magnitude of the error in the above estimation.The absolute value of the difference between 4s4 and the entire sum is at most:equation editorEquation EditorUsing your above answers, the value of the entire sum is between 4s4 and what other number?The sum is between 4s4 and:

Answers

The required sum is 90.89

The sum is between 90.89 and 90.89 + 91/125.

Alternating Series Error Estimation Theorem:

The Alternating Series Error Estimation Theorem is a mathematical theorem that provides a way to estimate the error in approximating the sum of an alternating series by considering a partial sum.

The theorem states that for an alternating series, the error in approximating the series by the sum of the first n terms is at most the absolute value of the (n+1)th term.

To find the sum of the first four terms of the series,

substitute the values of n from 1 to 4 into the given formula:

S₄ = ∑[n = 1 to 4] (-1)⁽ⁿ⁺¹⁾+ 91/(n³)

S₄ = (-1)⁽¹⁺¹⁾ × 91/(1³) + (-1)⁽²⁺¹⁾ × 91/(2³) + (-1)⁽³⁺¹⁾ × 91/(3³) + (-1)⁽⁴⁺¹⁾ × 91/(4³)

S₄ = 1 × 91 + (-1) × 91/8 + (1) × 91/27 + (-1) × 91/64

S₄ = 91 - 1/8 + 1/27 - 1/64

S₄ = 90.89

Using the Alternating Series Error Estimation Theorem, we can find a bound for the magnitude of the error in the above estimation.

Since we are approximating the series by the sum of the first four terms, the next term in the series is the fifth term:

b[5] = (-1)⁽⁵⁺¹⁾ * 91/(5³) = -91/125

The magnitude of the error is |b[5]| = |-91/125| = 91/125.

Therefore,

The absolute value of the difference between 4S₄ and the entire sum is at most 91/125.

Using the above answers, we can determine that the value of the entire sum is between 4S₄ and 4S₄ + 91/125.

Therefore,

The sum is between 90.89 and 84.417 + 91/125.

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PLEASE HELP ASAP SOLVE WITH EXPLANATION PLEASEEE

PLEASE HELP ASAP SOLVE WITH EXPLANATION PLEASEEE

Answers

Answer: 415 in

Step-by-step explanation:

Volume of a cone: 1/3 height multiplied by radius

radius = 6

height = 11

V=π r(squared) h/3 π · 6(squared) · 11/3 ≈ 414.69023

414.69023 = (rounded) 415in

To find the solution to the equation using factoring, we need to first write it in standard form. Which of the following choices is equivalent to the equation:

(x −3)(x + 5) = 10

Answers

The equivalent of (x -3) (x - 5) = 10 in standard form is:

x^2 + 2x - 25 = 0.

The standard form of quadratic equation is:

y = ax^2 + bx + c in which a ≠ 0.

To find the equivalent standard form of (x -3) (x - 5) = 10, you must multiply (x - 3) with (x + 5) using the FOIL method:

x ^2 + 5x - 3x - 15 = 10

Add like terms:

x ^2 + 2x - 15 = 10

Subtract 10 to both sides of the equation:

x ^2 + 2x - 15 - 10 = 10 - 10

The final answer is:

x^2 + 2x - 25 = 0 where a = 1, b = 2, and c = - 25.

Henry deposited his savings in the neighborhood bank. The bank paid an interest of 8% compounded quarterly. How much had Henry deposited if he received $13,299. 23 after 5 years? Round your answer to the nearest dollar

Answers

Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.To solve this problem, we can use the formula for compound interest:

\($$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$\)

where A is the amount after t years, P is the principal (the amount deposited), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

A = $13,299.23

r = 0.08 (8%)

n = 4 (quarterly compounding)

t = 5 years

We can rearrange the formula to solve for P:

\(P = \frac{A}{(1 + \frac{r}{n})^(nt) }\)

Plugging in the values, we get:

\(P = \frac{ $13,299.23}{(1 + \frac{0.08}{4} ) ^ {(4*5)} }\)

P ≈ $8,000.32

Therefore, Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.

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if h(x) = -7(x2 - 8) + 2, find the value of h(-5).

Answers

Answer:

h(-5) = -117

Step-by-step explanation:

h(x) = -7(x² - 8) + 2                    h(-5)

h(-5) = -7((-5)² - 8) + 2

h(-5) = -7(25 - 8) + 2

h(-5) = -7(17) + 2

h(-5) = -119 + 2

h(-5) = -117

Which of these subsets are subspaces ofM2×2? For each one that is a subspace, write it as a span. For each one that is not a subspace, state the condition that fails. (a). A = {((a, 0), (0, b)): a+b = 5}

Answers

Let X and Y be two matrices in A. We can write X = ((x,0),(0,y)) and Y = ((z,0),(0,w)). If we add X and Y, we get((x+z,0),(0,y+w)). The sum is in A if and only if x+z+y+w=5.

Subset of M2x2:A subset of M2x2 is a set that contains some elements of M2x2.

A subset of M2x2 can be considered as a subspace if it meets the following conditions:

it contains the zero vector, it is closed under addition, and it is closed under scalar multiplication.M2x2 is a set of 2x2 matrices with real entries. M2x2 has 4 elements, which are (1,0), (0,1), (0,0), and (1,1).Let A = \({((a,0),(0,b)):a+b=5}.\)

To determine if A is a subspace of M2x2, we need to verify that A meets the following conditions:

it contains the zero vector, it is closed under addition, and it is closed under scalar multiplication.Zero vector:To find the zero vector, we need to find a matrix in A such that \(a+b=0.\) We can easily see that this is not possible because (a,0) and (0,b) are non-negative, and their sum cannot be zero. Therefore, A does not contain the zero vector.Addition:A is closed under addition if the sum of any two matrices in A is also in A. Let X be a matrix in A and c be a scalar. We can write X = ((x,0),(0,y)). If we multiply X by c, we get((cx,0),(0,cy)). The product is in A if and only if cx+cy=5c. Therefore, A is not closed under scalar multiplication.

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Find and classify the critical points of f(x,y)=8r³+ y² + 6xy

Answers

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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Click on the measure that is equivalent to 3 kilometers.
2) 30 meters
D)) 3,000 meters
30,000 meters
300 meters
Done

Answers

Answer:

30,0000

Step-by-step explanation:

Geyuwuq

30,000 meters is correct

If I1 ⊇ I2 ⊇ .... In ⊇... is a nested sequence of intervals and if In = [an; bn], show that a1 ≤ a2 ≤ ....... ≤ an ≤ ........ and b1 ≤ b2 ≤..... bn ≤ ......

Answers

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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when constructing a confidence interval for the mean of a distribution based on one sample, how is confidence level determined?

Answers

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. Find the requested probability. If 55% of the students have never taken a statistics class, 25% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that the first groupmate you meet has studied some statistics

Answers

Answer:

the probability that the first groupmate you meet has studied some statistics is 0.45

Step-by-step explanation:

From the information given :

A professor divided the students in her business class into three groups

Let consider then to be :

Group            Statistics Class

A                    Never taken a statistics class

B                    Taken one statistics class

C                     Taken two or more statistics class.

If 55% of the students have never taken a statistics class,

Then ;

P(A) = 0.55

25% have taken only one semester of a statistics class

Then P(B) = 0.25

and the rest have taken two or more semesters of statistics

Then P(C) = 1 - 0.55 -0.25

P(C) = 1 - 0.80

P(C) = 0.20

The objective is to determine the probability that the first groupmate you meet has studied some statistics

The probability of the first groupmate you meet has studied some statistics = 1 - P(never taken a statistics course)

Let the  probability of the first groupmate you meet that  has studied some statistics be P(D)

Then P(D) = 1 -  P(A)

P(D) = 1 - 0.55

P(D) = 0.45

the probability that the first groupmate you meet has studied some statistics is 0.45

Consider the function given below: (defun things (x) (if (null x ) '() (if (>(carx) 10) (cons(+(carx) 1) (things (cdrx))) (cons (- (car x) 1) (things (codr x)) ) 1 ) 1 Show the evolution resulting from the following call: USP> (things '(11-2 31))

Answers

The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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find the missing angle.

find the missing angle.

Answers

Answer:90 degree

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

According to the Angle Sum Property of Triangles, the sum of the internal angles is 180°.

55° + x° + 35° = 180°x° + 90° = 180°x = 90°

PLEASE ANSWER
Micaela is searching for the best spot to plant her tomato plants. The east side of her house gets 6 hours and 45 minutes of sunlight each day. The west side receives 7 hours and 15 minutes of sunlight on a daily basis. How much less sunlight does the east side receive?

Keep in mind that there are 60 minutes in 1 hour.

Answers

Answer:

420 + 15 = 435

360 + 45 = 405

435 - 405 = 30.

30 minutes less sunlight

Step-by-step explanation:

Answer:

The east side gets 30 minutes less sunlight.

Step-by-step explanation:

To find the answer we have to subtract 6 hours 45 minutes from 7 hours 15 minutes. As we see that 15 is less than 45, we turn 7 hours 15 minutes to 6 hours 75 minutes, and now we can subtract. 6 hours 75 minutes - 6 hours 45 minutes = 30 minutes. Now, we see that the answer is 30 minutes less sunlight.


Traus earned $13 babysitting on Saturday and Sebabysitting on Sunday By how much doserings on Saturday
exceed his earings on Sunday?
OS
Save and Et

Answers

Answer:

26$ because 13+13 is 26 boom


John and Ariana bought school supplies. John spent $10.60 on 4 notebooks and 5 pens. Ariana spent $8.10 on 3 notebooks and 4 pens. What
is the cost of 1 notebook and what is the cost of 1 pen?

PLEASE HELP

Answers

Answer:

The cost of one notebook is $1.85 and the cost of one pen is $0.65

Step-by-step explanation:

I think it is $2.65 for the note books and $1.60 for the pens

If you need to show your work

$10.60/4= $2.65

$10.60-$2.65=$7.95 meaning you have $7.95 left so $7.94/5= $1.60

im not sure how to do this

im not sure how to do this

Answers

Answer:1 =5

             2 = 55/3

             3= 11

Step-by-step explanation:

hope i could help lol

Steps :
1. Take the whole number and bring it to the other side (ex. -10) but convert the sign (-10 changed to +10) then add together
2. Add the x’s together
Divide the x from the other side
im not sure how to do this

Solve for m: 7m+2=79

Answers

SOLUTION

The given equation is:

\(7m+2=79\)

Collect like terms

\(\begin{gathered} 7m=79-2 \\ 7m=77 \end{gathered}\)

Divide both sides by 7

\(\begin{gathered} m=\frac{77}{7} \\ m=11 \end{gathered}\)

Therefore the required answer is m=11

Lili runs a small day care business, caring for 3 children.
• She earns $150 during regular work hours.
• She charges $0.50 for each minute parents are late.
The situation is represented by the equation below, where t is the total
dollar amount Lili earns each day and m is the total number of minutes
parents are late.
t=150 +0.5m
Which of the following solutions shows an amount of money Lili can
reasonably expect to earn each day?

Answers

Answer:

$150

Step-by-step explanation:

\(t=150 + 0.5m\\t=150+0.5*0\\t=150\)

This is as we don't know how often the parents are late, nor if they are late. So we assume that the parents are never late.

A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius

Answers

The length of its radius 23 inches.

In geometry, a disk (also spelled disc) is the place in a plane bounded by using a circle. A disk is stated to be closed if it consists of the circle that constitutes its boundary, and open if it does now not.

The disc turned into a round, flat item that Greek athletes would throw for distance in the course of the ancient Olympics, a wearing culture that continues within the present day Olympics with the spelling disc. The disc became a beneficial object of evaluation for some thing having a spherical, flat shape being referred to as a disc or disk.

Efficiently speaking, a circle has no region (it's far simply the brink), however a disc does. however in practice human beings think about a circle as the brink or the enclosed space, or both. A disc is "closed" when it includes the bounding circle, and open if it does no longer.

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Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Answers

To solve problems, construct one-variable equations and inequalities.

How to use them to solve problems?

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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A boy has 800 he spends 160 what fraction of his original money does he have left

Answers

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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f(x) = 4x + 7
f(8) = 11

Answers

I'm not sure exactly what you're trying to ask, but this statement is not true.

to solve a function, you would input a number ,and in this example 8, and replace the x's with 8.

f(8)=4(8)+7

f(8)=32+7

f(8)=39, so when you input 8, your output is 39, not 11.

the function is linear.

a clock is constructed using a regular polygon with 60 sides. the polygon rotates each minute, making one full revolution each hour. how much has the polygon rotated after 7 minutes? 14° 21° 35° 42°

Answers

The correct answer is polygon has rotated 42° after 7 minutes.

To understand how much the polygon has rotated after 7 minutes, we can break it down into smaller increments.

Since the clock has 60 sides, each minute corresponds to a rotation of 360°/60 = 6°. Therefore, after 1 minute, the polygon rotates by 6°.

After 7 minutes, the polygon would have rotated by 7 * 6° = 42°. This is because each minute adds an additional 6° of rotation.

Hence, after 7 minutes, the polygon has rotated 42°. This means that it has moved 42° clockwise or counterclockwise from its starting position.

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Answer:

42°

Step-by-step explanation:

Which of the following is the graph of f(x)=-2x-3? On a coordinate plane, a straight line crosses the x-axis at (negative 2, 0) and the y-axis at (0, negative 3). On a coordinate plane, a straight line crosses the y-axis at (0, negative 3) and passes through (2 , 1). On a coordinate plane, a straight line passes through (negative 2, 1) and crosses the y-axis at (0, negative 3). On a coordinate plane, two rays form an inverted V in quadrants 3 and 4. The first ray starts at (0, negative 3) and passes through (negative 1, negative 5). The second ray also starts at (0, negative 3) and passes through (1, negative 5).

Answers

The graph of f(x) = -2x - 3 is best represented by option 1.

The graph of the function f(x) = -2x - 3 can be determined by examining the given information and using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.

Let's analyze the given options one by one:

(1) A straight line crosses the x-axis at (-2, 0) and the y-axis at (0, -3):

In this case, the y-intercept is -3, and since the line crosses the x-axis at (-2, 0), we can determine its slope. Using the slope formula, (y2 - y1) / (x2 - x1), we get (-3 - 0) / (0 - (-2)) = -3 / 2. Therefore, the equation of the line is y = (-3/2)x - 3.

(2) A straight line crosses the y-axis at (0, -3) and passes through (2, 1):

Again, the y-intercept is -3. By using the slope formula, (1 - (-3)) / (2 - 0) = 4 / 2 = 2, we find the slope. Thus, the equation of the line is y = 2x - 3.

(3) A straight line passes through (-2, 1) and crosses the y-axis at (0, -3):

Using the two given points, we can calculate the slope as (1 - (-3)) / (-2 - 0) = 4 / (-2) = -2. Hence, the equation of the line is y = -2x - 1.

(4) Two rays form an inverted V in quadrants 3 and 4, with points (0, -3), (-1, -5), (1, -5):

By connecting these points, we can observe that the graph does not form a straight line. Therefore, this option does not represent the graph of the given function.

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