You are adding to rational numbers with different signs. How can you tell if the sum will be positive, negative, or zero? #24​

You Are Adding To Rational Numbers With Different Signs. How Can You Tell If The Sum Will Be Positive,

Answers

Answer 1

Answer:

it would be positive

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

A positive plus a negative equals a negative:

4 + (-3) = 1

A positive plus a positive equals a positive:

4 + 4 = 8

A negative plus a negative equals a negative:

(-2 )+ (-2) = -4

If two number have the same absolute value, they will equal zero:

-3 + 3 = 0

- 2 + 2 = 0


Related Questions

Q5) given that f(x) = x^2 + x and g(x) = 3x + 1, find the value of f(g(4))

Answers

Answer:

169

Step-by-step explanation:

3(4)+1

=12+1

=13

f(g(4))

f(x)=x^2 ---- (13)^2

=13x13

=169

Helppp! (m−3+4n)⋅(−8)

Answers

Answer:

-8m + 3 - 32n

Step-by-step explanation:

Distributive Property

-8m + 3 - 32n

How many solutions does the following equation have?

-6(x+7) = -4x -2​

Answers

Solve for x first
-6x - 42 = -4x -2
-6x = -4x + 40
- 2x = 40
X = -20
The equation has one solution

find the midpoint of AB: A(3,-8) B(-15,-8)

Answers

Answer:

C (-6,-8)

good luck buddie

Answer:

(-6, -8)

Step-by-step explanation:

How to find x-intercept in the equation y=mx+b

Answers

You can find x intercept by making y= 0. Do this 0=mx + b

The number 0 is a solution to which of the following inequalities? Select all that apply. x – 5 ≤ -3

Answers

Answer:

The number 0 is a solution to that specific inequality

Step-by-step explanation:

0-5 <- -3

-5 <- -3

-3 is greater than -5

Help me on this please

Answers

Answer:

answer d

Step-by-step explanation:

negative exponents need to be put into the denom



Acme is selling a 6 pound turkey for $25.50.
Write the rate
What is the unit rate

Answers

Answer:

$4.25 each pound

Step-by-step explanation:

To find the unit rate you want to divide the price by the pound

25.50 / 6 = 4.25

Therefore it's $4.25 each pound which is the unit rate

Find the inverse of the given function f(x)=-5x-9

Answers

The inverse is y= -(x+9)/5

Answer:

f-1(x)= x+9/-5

Step-by-step explanation:

1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.

2. Now, solve the equation for y.

3. Finally, change y to f -1(x).

(x-790°
(x-45)
Solve for x.

Answers

Answer:

107

Step-by-step explanation:

(x - 79)° + (x - 45)° = 90°

2x - 124 = 90

2x = 214

x = 107

What is the slope of the line that passes through the points (-8,-1)
and (-12, -2)? Write your answer in simplest form.

Answers

1/4 is the slope


Explanation:


You would use the slope formula

y2-y1/x2-x1

-2-(-1)/-12-(-8)
-1/-4
1/4

Answer:

[tex]m=\frac{1}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-8, -1)

Point (-12, -2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-2+1}{-12+8}[/tex]Add:                              [tex]m=\frac{-1}{-4}[/tex]Divide:                          [tex]m=\frac{1}{4}[/tex]


Cherries cost $5 for 2 pounds and $7.50 for 3 pounds.
What is the cost per pound?
b. Is it constant?
c. If you were to graph this situation, would you put weight or cost on the x-axis? Which one would you put on the y-axis?
d. Plot the two points described.
e. How much would 5 pounds of cherries cost? What did you do to solve this problem?

Answers

Answer:

Cherries cost $2.50 per pound

Yes, it is constant.

Weight would go on the x-axis and the cost would go on the y-axis.

The two points are (2, 5) and (3, 7.5)

5 pounds of cherries would cost $12.50. To solve the problem I multiplied the 5 pounds by 2.5, the cost per pound to find the cost.

Step-by-step explanation:

$5 for 2 pounds and $7.50 for 3 pounds can be turned into the points (2, 5) and (3, 7.5).

To find the cost per pound, input the two points into the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{7.5-5}{3-2}[/tex]

Solve:

7.5 - 5 = 2.5

3 - 2 = 1

[tex]\frac{2.5}{1}[/tex] = 2.5

The cost of cherries per pound is $2.50. This is our slope.

The equation that represents the cost of cherries for x amount of pounds is:

y = 2.5x

To find how much 5 pounds of cherries would cost, replace x with 5 in the equation:

y = 2.5(5)

y = 12.5

5 pounds of cherries would cost $12.50.

I hope this helps :)

solve for x:
(-3/2)x -9 = - 27
a.-24
b.-12
c.11
d.12

Answers

Answer:

d

Step-by-step explanation:

Given

- [tex]\frac{3}{2}[/tex] x - 9 = - 27 ( add 9 to both sides )

- [tex]\frac{3}{2}[/tex] x = - 18 ( multiply both sides by 2 to clear the fraction )

- 3x = - 36 ( divide both sides by - 3 )

x = 12 → d

Can someone help I will brainlest

Answers

Your answer will be 2.4
2.4 I think. (Hope it’s right)

Identify the terms of this expression
w+5w2+2w2-7w

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

w, 5w², 2w² and -7w

▹ Step-by-Step Explanation

Terms are the values which are seperated by the plus sign (+) or the minus sign (-).

In this case, we have w + 5w² + 2w² - 7w

We can see that there is a total of 3 signs, two plus signs (+) and one minus sign (-).

Therefore, our terms will be w, 5w², 2w² and -7w. There is a total of 4 terms in this expression.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Find the slope of each line.
1)
(-1, 1), (-1, 4)

Answers

Answer:

The slope is undefined

Step-by-step explanation:

The equation of the line is x=-1 and this equation’s slope is undefined because it’s a vertical line.

Hope this helps and answers your question :)

Answer:

The line presented has an undefined slope.

Step-by-step explanation:

We are given two points of a line: (-1, 1) and (-1, 4).

Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).

The x-coordinate is the point at which if a straight, vertical line were drawn from the x-axis, it would meet that line.The y-coordinate is the point at which if a straight, horizontal line were drawn from the y-axis, it would meet that line.

Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:

x₁ = -1y₁ = 1

We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):

x₂ = -1y₂ = 4

We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.

Circumstance 1: As long as the slope is not equal to zero, there can be a

positive slope, [tex]\frac{1}{3}[/tex]negative slope, [tex]-\frac{5}{6}[/tex]

Circumstance 2: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).

Circumstance 3: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.

Therefore, a slope can be positive, negative, zero, or undefined.

Now, we need to solve for the line we are given.

The slope of a line is determined from the slope-intercept form of an equation, which is represented as [tex]\text{y = mx + b}[/tex].

The slope is equivalent to the variable m. In this equation, y and x are constant variables (they are always represented as y and x) and b is the y-intercept of the line.

We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

Therefore, because we defined our values earlier, we can substitute these into the equation and solve for m.

Our values were:

x₁ = -1y₁ = 1x₂ = -1y₂ = 4

Therefore, we can substitute these values above and solve the equation.

[tex]\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0[/tex]

Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.

x₁ = -1

x₂ = -1

y₁ = 1

y₂ = 4

If our y-coordinates are the same, the line is horizontal.

If our x-coordinates are the same, the line is vertical.

We see that our x-coordinates are the same, so we can determine that our line is a vertical line.

Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.

Solve for the missing variable
(5, 4) & (2, c) slope is equal to 1/2
Please answer fast

Answers

Answer:

c = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{1}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)

m = [tex]\frac{c-4}{2-5}[/tex] = [tex]\frac{c-4}{-3}[/tex] , then

[tex]\frac{c-4}{-3}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2(c - 4) = - 3

2c - 8 = - 3 ( add 8 to both sides )

2c = 5 ( divide both sides by 2 )

c = [tex]\frac{5}{2}[/tex]

Tell whether the rates form a proportion

28 points in 3 games; 112 points in 12 games
Yes
No

Answers

Answer: yes

Step-by-step explanation: the answer is yes

Which ratio is not equivalent to 5 : 8?

Answers

Answer:

10 / 28

Step-by-step explanation:

In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP.

Based on the assumption that quadrilateral PQRS is
a rectangle, determine whether each statement below is true or false. Select True or False for each statement.
TRUE or FALSE


1.) Triangles POR and RSP are congruent because they satisfy the side-side-sido (SSS) triangle congruence criterion.

2.)Triangles POR and RSP are congruent because they satisfy the side-anglo-sido (SAS) triangle congruence criterion

3.)Triangles POR and RSP are congruent because there is a rotation that carries one triangle onto the other.

4.)Triangles POR and RSP are congruent because there is a translation that carries one triangle onto the other

Answers

Answer:

False

True

True

False

Step-by-step explanation:

Answer:true true true false

Step-by-step explanation: did it in class

What is the answer to 15x+9 when x=−1.

Answers

Answer:

The answer is -6.

Step-by-step explanation:

What is 0.5 x 10^5 in standard form.
+

Answers

Answer:

Step-by-step explanation:

0.5 ×10^5=5/10×10^5=5×10^4=50,000

I need help with this

Answers

Answer:

y=-1/3x+2

Step-by-step explanation:

let's see who can answer this;)​

Answers

Answer:

0.88, 8.08, 8.80

2.4, 2.49, 3.71, 3.87, 4.92

Step-by-step explanation:

By logic.

Or mathematically speaking, if x is greater than y, means that x-y > 0.

how to write this numbers in word 30.659

Answers

Answer:

thirty and six hundred fifty-nine thousandths

Step-by-step explanation:

write the equation of this line

Answers

Answer:

Y = -3/2x + 5

Step-by-step explanation:

Slope (rise/run) is -3/2 and the y - intercept is 5.

Hope this helps. Pls give brainliest.

Which statement is a valid claim that could be made using the data in the graph?
Directional selection is occurring because the graph favors an extreme.
Stabilizing selection is occurring because the average is favored.
Disruptive selection is occurring because the two extremes are favored.
Biodiversity variation is occurring because there is an increase in trait variation.

Answers

Stabilizing selection is occurring because the average is favored.

If its the same graph im thinking of.

The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, On this graph we can observe the workings of the stabilizing selection.

Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.

Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.

Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.

Thus, The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Learn more about the mathematical expression visit:

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i rlly need help; finding angles

Answers

Answer:

1=35 find angle 2 80+65-180=35

2= 65 vertical angles are congruent ex 115-180

3=29 ex. 90+65-180=29

4= 115 vertical angle congruent

5=65 vertical angles are congruent ex 115-180

6=65 35+80-180=65

7=144

Answer:

∠1 = 35                  ;      ∠2 = 65       ;    3 = 29       ;      ∠4 = 115  

∠5 = 65               ;      6 = 36       ;   ∠7 = 144

Step-by-step explanation:

∠4 = 115                              {Vertically opposite angles}

∠5 + 115 = 180                  {linear pair}

         ∠5 = 180 - 115

        ∠5 = 65

∠2 = ∠5         {Vertically opposite angles}

∠2 = 65

∠1 + 80 +∠2 = 180   {Angle sum property of triangle}

∠1 + 80 + 65=180

       ∠1 + 145 = 180

               ∠1 = 180 - 145

∠1 = 35

∠5 + ∠7 + 90 + 61 = 360   {angle sum property of quadrilateral}

65 + ∠ 7 + 90 + 61 = 360

          ∠7 + 216      = 360

                    ∠7      = 360 - 216

                       ∠7 = 144

∠6 + ∠ 7 = 180   {linear pair}

∠6 + 144 = 180

          ∠6 = 180 - 144

          ∠6 = 36

∠3 + ∠4 +∠ 6 = 180        {angle sum property of triangle}

∠3 + 115 + 36 = 180

      ∠3 + 151  = 180

               ∠3 = 180 - 151

               ∠3 = 29

A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed about how many are expected to be rejected

Answers

Answer:

45 candidates are expected to be rejected

Step-by-step explanation:

Here, we want to calculate the number of candidates to be rejected

The number of candidates to be rejected can be calculated from;

100% - (28% + 12%) = 60%

So 60% of the 75 interviewed are to be rejected

Thus, we have

60/100 * 75

= 45

The number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.

What is percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed.

Let's suppose total candidate is 100%

So,

= 100 - (12+28)

= 60%

Number of candidate expected to be rejected:

= 60% of 75

= (60×75)/100

= 45

Thus, the number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.

Learn more about the percentage here:

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A number minus 6. Help me plz (translating Expressions)

Answers

Answer:

x - 6

Step-by-step explanation:

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