Find the equation of the line that goes through the point (4, -3) and has a slope of 0.

Answers

Answer 1

Answer:

y = - 3

Step-by-step explanation:

A line with a slope of 0 is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 3 ) with y- coordinate - 3, then

y = - 3 ← equation of line


Related Questions

2y=21 6x6y 12.) 3x 4x - 4y=0 O 13-7x+4y=24XE VERE 14 Hy2y = -19 X-212.8 Byty24 Y24. - y Solve each system by elimination. *** 15) 8x-6y=-20 14) AX- 2 -24-2y-10 3 0-6 2120) YaZ enho 23 16) 6x-129=242 -16x + y = 30 16x -1240 - 16X-1294 30 by=-TB * 8%=-20467 -x-by=4 == 끓 bylo 6*-12-24 -62-36=24 6x+1231-12 CM-1224 -42-7=21 6224-12 bts-12k-36)-243247 t-shay-246 18) -24 - 8x= 12 y 7. 5 18

Answers

The given sets of equations are,

\(\begin{gathered} 5y-4x-9=0\ldots\ldots(1) \\ 9y+11x+20=0\ldots\text{.}\mathrm{}(2) \end{gathered}\)

Multiplying equation (1) by 11 and equation (2) by 4 and adding both the equations,

\(\begin{gathered} 55y-44x-99+(36y+44x+80)=0 \\ 91y-19=0 \\ y=\frac{19}{91} \end{gathered}\)

Substituting the value of y in equation (1),

Ethan's class is handing out balloon arrangements consisting of 4 balloons each. Each balloon has an equally likely chance of being red, blue, or yellow. Ethan created a spinner to simulate this probability. Here is Ethan's data from 30 trials of 4 spins on the spinner (r = red, b = blue, y = yellow):



ybrr bybb rbbb rrry rbbb rryy yybb ryry ryyr rbyr ryyr rryy rrrr yrby bbyy byyr byyr byyb rbby ybry rryy rbrr rybb bbbr rrbr ybry ryrr rryb rrrb rryr



According to this data, what is the experimental probability that an arrangement will contain at least one yellow balloon?

0.75
0.23
0.767
0.233

Answers

The experimental probability that an arrangement will contain at least one yellow balloon is 0.767. Then the correct option is C.

Given that:

Each balloon arrangement in Ethan's class has four balloons in it. The likelihood of each balloon being red, blue, or yellow is equal. To represent this possibility, Ethan made a spinner.

ybrr, bybb, rbbb, rrry, rbbb, rryy, yybb, ryry, ryyr, rbyr, ryyr, rryy, rrrr, yrby, bbyy, byyr, byyr, byyb, rbby, ybry, rryy, rbrr, rybb, bbbr, rrbr, ybry, ryrr, rryb, rrrb, rryr

The experimental probability that an arrangement will contain at least one yellow balloon is calculated as,

P = 23 / 30

P = 0.767

Thus, the correct option is C.

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whole number definition ​

Answers

Answer:

whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.

Answer:

A whole number is a number that has no fractional or decimal part. And no negatives.  

Example: 5, 49 and 980 are all whole numbers.

There is no largest whole number.

Mr. Rodriguez is hanging 24 papers in rows on a wall. He wants to hang the same number of papers in each row. This is one way he can arrange the papers. Draw the other ways that he can arrange his papers.

Mr. Rodriguez is hanging 24 papers in rows on a wall. He wants to hang the same number of papers in each

Answers

The original arrangement is:

\(6\times4\)

So, we can arrange the papers as:

\(\begin{gathered} 4\times6 \\ 3\times8 \\ 8\times3 \end{gathered}\)

Mr. Rodriguez is hanging 24 papers in rows on a wall. He wants to hang the same number of papers in each
Mr. Rodriguez is hanging 24 papers in rows on a wall. He wants to hang the same number of papers in each
Mr. Rodriguez is hanging 24 papers in rows on a wall. He wants to hang the same number of papers in each

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.

Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

Answers

Answer:

4.5 in on ed

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Because we are trying to find the length, we are going to need to change the equation in order to isolate L.

You divide wh with v.

V/wh = L

Now, since the quantity of the volume is 138.24, we divide that by 9.6 x 3.2

Solve 9.6 x 3.2.  This would give you 30.74.

Divide 138.24 by 30.74 and your answer should be 4.497...

Rounding that by the nearest 10th would get you 4.5!

Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown below.
Calculate the area of the floor, to the nearest 10th, to determine how many square metres of tile Michaela will need to buy.

*Hint: Divide the shape into 2! You will need to use trig!

Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown

Answers

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown

Find the distance around each figure. Use 3.14 for pi. 5 feet for radius

Answers

Answer:

C≈31.42ft

Step-by-step explanation:

Solution

C=2πr=2·π·5≈31.41593ft

Solve 9=2x^2+3x in quadratic equation

Answers

Answer: x=-3 & x=3/2

Step-by-step explanation:

1. Simplify the expression

- Divide both sides by the same factor

9=2x^2+3x

2x^2 + 3x - 9 = 0

2. Use the quadratic formula

- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2x^2 + 3x - 9 = 0

a = 2

b = 3

c = -9

x = √-3±3^2−4⋅2(−9)/2⋅2

3. Simplify, again.

- Evaluate the exponent

- Multiply the numbers

- Add the numbers

- Evaluate the square root

x=−3±9/4

4. Separate the equations

- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=−3+9/4

x=-3-9/4

5. Solve

- Rearrange and isolate the variable to find each solution.

x=3/2

x=-3

Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids

Answers

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Find the area of the shaded region:

Find the area of the shaded region:

Answers

Answer:

34560

Step-by-step explanation:

You have to multiply to get your answer

Hope I'm right...

Hope this helps plz like and brainly :D

Find the area of the shaded region:

Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.



Which statements about the function are true? Select three options.

The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.

Answers

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

PLESSSSSSSSSSSSSS| HELP ME ):
Which of the following can be used to construct a triangle?

A) 10cm 13cm 24cm
B) 14cm 32m 28cm
C) 25cm 13cm 22cm
D) 5cm 8cm 20cm

Answers

Answer:

the answer is simple, because you have to add up each side of the triangle and match those sides with your choices. btw its C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use Pythagorean Theorem:

a^2 + b^2 = c^2

For a triangle to be a triangle a^2 +b^2 has to be larger than c^2

25^2 + 13^2 = 653

22^2 = 625  

According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that more than 22 of them would agree with the claim?

Answers

97.03% probability that 15 or more of them would agree with the claim.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = \(C_{n,x} p^x (1-p)^{n-x\)

where \(C _{n,x\) = n! / r! (n-r)!

And p is the probability of X happening.

75% of adults believe that an unattractive smile hurts career success.

p = 0.75

and n = 75

Now, the probability that 15 or more of them would agree with the claim

P(X≥ 15) = 1 - P(X< 15)

So, P(X< 15) = P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)

and, P (X = 14) = \(C_{25, 14} (0.75)^{14} (0.25)^{11\) = 0.0189

P (X = 13) = \(C_{25, 13} (0.75)^{13} (0.25)^{12\) = 0.0074

P (X = 12) = \(C_{25, 12} (0.75)^{12} (0.25)^{13\) = 0.0025

P (X = 11) = \(C_{25, 11} (0.75)^{11} (0.25)^{14\) = 0.0007

P (X = 10) = \(C_{25, 10} (0.75)^{10} (0.25)^{15\) = 0.0002

P (X = 9) = \(C_{25, 9} (0.75)^{9} (0.25)^{16\) = 0

Then, P(X< 15)

= P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)

= 0.0002+0.0007+0.0025+0.0074+0.0189

= 0.0297

and, P(X≥ 15) = 1 - P(X< 15)

= 1- 0.0297

= 0.9703.

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Match the later drop-down

Match the later drop-down

Answers

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

What is the explanation for the above?

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Match the later drop-down

what is the answer to this?? lmk asap pls and i need the right answer

what is the answer to this?? lmk asap pls and i need the right answer

Answers

Answer: no, no, no, yes

Step-by-step explanation:

Hello!

Just take each value of "u" and multiply it by 4. If the answer is smaller than 32, it is a solution. If not, it isn't a solution.

logx+5 64 = 2

Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER

Answers

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.

A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.

Does the data contain an outlier? If so, explain its meaning in this situation.

No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age

{Please follow the rules Dos and Don't}
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DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP The ages of people visiting a senior center one

Answers

Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.

Hope this helps! :)

Step-by-step explanation:

Answer:

D

GIVE HIME BRAINLIEST

Step-by-step explanation:

I need answer for this question

I need answer for this question

Answers

The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.

In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:

Z = X-ц / σ

· It measures how many standard deviations the measure is from the mean.

· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ

σ = σ / \(\sqrt{n}\)    

σ is standard deviation

n is the sample size.

Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.

⇒ ц = 176.1  and σ = 35.4

For a sample of 43 passengers, we have

n = 43

σ =  \(\frac{35.4}{\sqrt{43}}\)

σ = 5.398

Z = X-ц / σ

Z = \(\frac{165-176.1}{5.398}\)

Z = -2.05 has p- value of 0.9798

The probability that the aircraft is loaded is

1 - p-value of Z

1 - 0.0202 = 0.9798

The probability that the aircraft is overloaded is 97.98%

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Solve the system by back substitution- 2x - 4y - 2 - 3w = 4- 5y - 302 - 10w = - 40- 42 - 4w = - 85w= 15The solution set is {0.00}. (Type an integer or a simplified fraction.)

Solve the system by back substitution- 2x - 4y - 2 - 3w = 4- 5y - 302 - 10w = - 40- 42 - 4w = - 85w=

Answers

1) To solve this system you have to start with the fourth equation because it has only one variable:

\(5w=15\)

-Divide both sides by 5 to determine the value of "w"

\(\begin{gathered} \frac{5w}{5}=\frac{15}{5} \\ w=3 \end{gathered}\)

2) Replace the value of "w" into the third equation and solve for z

\(\begin{gathered} -4z-4w=-8 \\ -4z-4\cdot3=-8 \\ -4z-12=-8 \end{gathered}\)

-Add 12 to both sides of the equation

\(\begin{gathered} -4z-12+12=-8+12 \\ -4z=4 \end{gathered}\)

-Divide both sides by -4 to determine the value of "z"

\(\begin{gathered} -\frac{4z}{-4}=\frac{4}{-4} \\ z=-1 \end{gathered}\)

3) Replace the values of "w" and "z" into the second equation and calculate the value of "y"

\(\begin{gathered} -5y-30z-10w=-40 \\ -5y-(30(-1))-(10\cdot3)=-40 \\ -5y+30-30=-40 \\ -5y=-40 \end{gathered}\)

-Divide both sides by -5 to determine the value of "y"

\(\begin{gathered} -\frac{5y}{-5}=\frac{-40}{-5} \\ y=8 \end{gathered}\)

4) Finally replace the values obtained for "w", "y", and "z" into the first equation to determine the value of x:

\(\begin{gathered} -2x-4y-z-3w=4 \\ -2x-(4\cdot8)-(-1)-(3\cdot3)=4 \\ -2x-32+1-9=4 \\ -2x-40=4 \end{gathered}\)

-Add 40 to both sides of the equation

\(\begin{gathered} -2x-40+40=4+40 \\ -2x=44 \end{gathered}\)

-Divide both sides by -2

\(\begin{gathered} \frac{-2x}{-2}=\frac{44}{-2} \\ x=-22 \end{gathered}\)

The solution for the system is:

\(\mleft\lbrace w,x,y,z=3,-22,8,-1\}\mright?\)

Does anyone have Envision volume 2 book for 5th grade I need only lesson 13? 2 page ?​

Answers

I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

Envision Math Grade 5 Answer Key | Envision Math 5th Grade Textbook Answers – enVision Math Answer Key ( 1 )5th Grade Envision Topic 13 Lessons Teaching Resources | TPT ( 2 )IXL skill plan | 5th grade plan for enVisionMATH 2.0 ( 3 )

I hope this helps you with your homework.

f(x) = 4x2 + 5x – 2

g(x) = 5x – 2x2 – 3x + 4

Which function represents the sum of the functions, h(x) = f(x) + g(x)?

h(x) = 5x + 2x2 + 2x + 2
h(x) = –x2 + 2x + 2
h(x) = 5x – 4x2 + 4x + 2
h(x) = 5x + 2x2 – 2x – 2

Answers

Answer:

Therefore, the function that represents the sum of f(x) and g(x) is h(x) = -2x^2 + 9x + 2.

Step-by-step explanation:

h(x) = f(x) + g(x) = (4x^2 + 5x - 2) + (5x - 2x^2 - 3x + 4)

h(x) = -2x^2 + 9x + 2

Therefore, the function that represents the sum of f(x) and g(x) is h(x) = -2x^2 + 9x + 2.

Answer:

the answer is A. h(x) = 5x + 2x2 + 2x + 2

Step-by-step explanation:

The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?

A. $15

B. $30

C. $40

D. $55

The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth

Answers

The possible price for the items if the store sells $600 is (c) $40

How to determine the possible price for the items?

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Help ? PLEASE HURRY !

Help ? PLEASE HURRY !

Answers

Answer:

Step-by-step explanation:

Sine of U = 8/17

opposite /hypotensue

use the binomial expansion
(a+b)⁴ = a⁴+4a³b+6a²b²+4ab³+b⁴ to expand and simplify (x-3)⁴​

Answers

Answer:

\(x^4-12x^3+54x^2-108x+81\)

Step-by-step explanation:

We have been given the following binomial expansion for (a + b)⁴:

\(\boxed{(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4}\)

To use this to expand and simplify (x - 3)⁴, first identity the values of a and b:

a = xb = -3

Substitute the values of a and b into the expansion, and simplify:

\(\begin{aligned}(x-3)^4&=x^4+4x^3(-3)+6x^2(-3)^2+4x(-3)^3+(-3)^4\\\\&=x^4+4x^3(-3)+6x^2(9)+4x(-27)+81\\\\&=x^4-12x^3+54x^2-108x+81\end{aligned}\)

Using the rules of inference show that s is a conclusion
1. p → q
2. q → r
3. (q → r) → s
4. p
how to solve?

Answers

"s" can be concluded from the premises

How to show that s is the conclusion

To use the rules of inference to show that "s" is a conclusion, we can use modus ponens,

This is a rule that allows us to infer a conclusion from a premise and its conditional statement.

Using modus ponens, we can infer "q" from "p → q" and "p".Next, using modus ponens, we can infer "r" from "q → r" and "q".Finally, using modus ponens, we can infer "s" from "(q → r) → s" and "q → r".

Thus, "s" can be concluded from the premises "p → q", "q → r", "(q → r) → s", and "p".

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Correct answer please somebody answer plzzzzzzzz ASAP

Correct answer please somebody answer plzzzzzzzz ASAP

Answers

Answer:

Step-by-step explanation:

Answer:

t=1.25j

Step-by-step explanation:

5/4 = 1.25

5 goes first because its time

Sample response: The product of two numbers with
different signs is negative, so 2(-12) = -24, not 24. Then
-24-(-30) = -24 + 30 = 6.
Select all the information you considered when writing
your response.
The product or quotient of two integers with
different signs is negative.
To subtract an integer, add its opposite.
To add integers with opposite signs, subtract the
absolute values. The sum has the same sign as the
integer with the greater absolute value.

Answers

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Plz help me well mark brainliest if correct...???

Plz help me well mark brainliest if correct...???

Answers

Answer:

D) 225

Step-by-step explanation:

Given in chart. The box at column "Milk Sold" and row "Friday" has the number 225 in it. Cumulative milk sold refers to the total number of milk sold through the entire chart (from top to bottom) so far. The question is asking for how many milks were sold on Friday specifically, so we want the "Milk Sold" column.

\Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.

Answers

The statement "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality" best describes the process used to solve the equations.

In the equation -3x + 6 = 21, to isolate the variable x, we subtract 6 from both sides of the equation, which yields -3x = 15. Then, we divide both sides by -3 to solve for x, resulting in x = -5. This process is applicable to equations where we aim to find the exact value of the variable.

Similarly, in the inequality -3x + 6 < 21, we want to find the range of values for x that satisfy the inequality. By subtracting 6 from both sides, we obtain -3x < 15.

However, since we performed the same operation on both sides of the inequality, the direction of the inequality sign remains the same.

Thus, the correct inequality is -3x < 15. To isolate x, we divide both sides by -3. However, since we reversed the inequality sign, we must also reverse it again, resulting in x > -5.

This process allows us to determine the range of values for x that satisfy the inequality.

Therefore, the statement accurately describes the process for solving both the equation and the inequality, highlighting the significance of reversing the inequality sign when manipulating inequalities.

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Bobby’s farm is always subject to the weather. A bad storm or drought can devastate his crop. What type of risk does Bobby’s business face?
A.
internal
B.
external
C.
avoidable
D.
controllable

Answers

The answer is External
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