Subtraction as Adding the Opposite

Subtraction As Adding The Opposite

Answers

Answer 1
Answer: D

Explanation: 2 negatives make a positive

Related Questions

Please help me do this question

Answers

Step-by-step explanation:

We need to break up the given expression into two separate fractions so that when they are added together, we will get the original expression.

Note that the denominator is made up of two factors, [tex](2x - 1)[/tex] and [tex](x^2 + 1).[/tex] But note that the 2nd factor is a 2nd order polynomial so as a rule, the numerator of the fraction containing this factor must be an (n - 1)-order polynomial, where n is the order. With that in mind, we can write the general form of the partial fractions as follows:

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{Ax + B}{x^2 + 1} + \dfrac{C}{2x - 1}[/tex]

[tex]\:\:\:\:=\dfrac{2Ax^2 + Bx - Ax - B + Cx^2 + C}{(2x - 1)(x^2 + 1)}[/tex]

Here, we combined the two fractions to form the equation above. Next, we compare the numerators on either side. Note that we satisfy the equality if we impose the following conditions:

[tex]2A + C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(1)[/tex]

[tex]2B - \:A = 1\:\:\:\:\:\:\:\:\:\:\:\:\:\:(2)[/tex]

[tex]-B + C = 7\:\:\:\:\:\:\:\:\:\:\:\:\:\:(3)[/tex]

To find the values of the constants A, B and C, we need to solve this system of equations. We start by multiplying Eqn(3) by 2 and then adding it to Eqn(2) to get

[tex]-A + 2C = 15\:\:\:\:\:\:\:\:\:\:\:\:\:\:(4)[/tex]

Then, multiply Eqn(1) by -2 to get

[tex]-4A - 2C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(5)[/tex]

Add Eqn(4) to Eqn(5) and we will get

[tex]-5A = 15 \Rightarrow A = -3[/tex]

Now that we know the value of A, we can use this in Eqn(2) to get

[tex]2B - (-3) = 1 \Rightarrow B = -1[/tex]

Next, to solve for C, we use the value of A in Eqn(1) to get

[tex]2(-3) + C = 0 \Rightarrow C = 6[/tex]

Therefore, the given expression can be written as

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]

As a check, let's combine the two fractions together:

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]

[tex]= \dfrac{6x^2 + 6 - 6x^2 - 2x + 3x + 1}{(2x - 1)(x^2 + 1)}[/tex]

[tex]= \dfrac{x + 7}{(2x - 1)(x^2 + 1)}[/tex]

As expected, we got the original expression.

A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.

Answers

Answer:

radius: 1460 micircumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

  82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

  0.294444C = 2105 mi

  C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

  r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.

in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures​

Answers

Answer:

  186 °F

Step-by-step explanation:

The difference is found by subtracting the smaller from the larger:

  136 -(-50) = 136 +50 = 186

The difference between the two temperatures is 186 °F.

consider the system of equations. which shows an equivalent system of equations?
see attatched

Answers

Answer:

A.

Step-by-step explanation:

All choices show the first original equation.

Each choice shows a different second equation.

Take the second original equation:

6x + 5y = 30

Multiply both sides by -5.

-30x - 25y = -150

Answer: A.

tap the word that "they" refers to

a. birds
b. frogs
c. feets

Answers

Step-by-step explanation:

we would a small text, or give us a picture so we can read it, then we can answer this question, without it, I'd have to guess

Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w​

Answers

The element which should be used to help clarify a complicated idea in a text is ; A research question.

According to the question;

We are required to determine which element should be used to help clarify a complicated idea in a text.

A research question is the best fit which should be used to help clarify a complicated idea in a text.

This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.

Read more:

https://brainly.com/question/18675306

Answer:

D:) a research question.

Step-by-step explanation:took the test

In a recent study at a local college using a simple random sample, 9 students admitted that they had tried alcohol at least once while under the legal drinking age, while 6 students said they had not. Is there enough data to conduct a hypothesis test to see if the percentage of students at the college who admit to drinking underage is the same as the national percentage of 65%

Answers

Answer:

No

But it us Near though

Step-by-step explanation:

9/15 or 3/5 =60%

x/33=-2/3i don't know how to solve this some one help me please

Answers

Answer:

x/i=22

Step-by-step explanation:

x/33=2/3*i

*33       *33

x=2/3*33*i

/i              /i

x/i=2/3*33

x/i=22

15.
Use the quadratic model d = -3p^2 + 168p - 315 to predict d if p equals 15.

A. 2880

B. 1845

C. 2160

D. 1530

Answers

Answer:

D) 1530

Step-by-step explanation:

I used Desmos :)

A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?​

Answers

Answer:

2 1/3 minutes

Step-by-step explanation:

Distance:

d = 7/8 mile

Speed:

s = 3/8 mpm

Time:

t = d/st = 7/8 : 3/8 = 7/8 * 8/3 = 7/3 = 2 1/3 min

Answer:

Step-by-step explanation:

17 1/3 miles in 3 1/4 hours, how many miles per hour?

Answers

Step-by-step explanation:

Due to normality, the formula for computing z is the same for a single data value, as it is
for an average of the data values for a sample group.

True or false ?

Answers

Using the Central Limit Theorem, the statement is false, as for the averages of  the data values for a sample group, the standard error is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], hence, the formula is:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

While for a single value, it is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the 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 size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Hence, the formulas are different, and for an average of the data values for a sample group it is:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

A similar problem is given at https://brainly.com/question/24663213

Plz help me well mark brainliest only if u are correct!

Answers

Answer:

B

Step-by-step explanation:

Since x is being multiplied by -4/5, you need to multiply both sides of the equation by the reciprocal of -4/5 which -5/4.

Answer: B

You have 10 pounds of aquafaba. You need 6 oz to make one serving of consomme. How many servings can you make? Whole servings only - round down rather than using partial servings.

Answers

Using the principle of proportional relationship, the number of whole serving that can be made is 26.

Recall :

1 pound = 16 oz

Total amount of aquafaba in ounces :

16 × 10 = 160 oz

Amount of aquafaba required per serving of consomme :

1 serving = 6 oz

x servings = 160 oz

Cross multiply

6x = 160

Divide both sides by 6

x = 160/6

x = 26.667

Hence, the amount of whole serving that can be made is 26.

Learn more : https://brainly.com/question/25678498

Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.

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hope this helps

<3

srry if this is wrong

what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie

Answers

Answer:

if its me then i will bye the store. but the answer is 50%

Step-by-step explanation:

Which of these functions would you use to represent the length, width or heigh of a box whose dime
O Quadratic
O 4th-degree polynomial
O Cubic
O Linear

Answers

Answer:

Cubic

Step-by-step explanation:

He has widht, heigh and length.

The cubic function is used to represent the length, width or height of a box. The correct option is C.

What is a cubic function?

The cubic function is defined as a function having a degree of three. It is the same as that of cubic polynomials.

A cubic function is defined in mathematics as a function of form f(x)=ax³+bx²+cx+d, where the coefficients a, b, c, and d are complex numbers and the variable x takes real values.

The box has three dimensions that are length, width, and height. The volume of the box will be calculated by the product of the three sides of the box.

There are three dimensions involved in the calculation of the volume of the box. It means that the volume will be a cubic function.

To know more about cubic functions follow

https://brainly.com/question/20896994

#SPJ2

how many 3/4 are in 11/4

Answers

Answer:

11

1

11 over 1

Step-by-step explanation:

9. A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how long will it take for the cheetah to catch up to the antelope?​

Answers

It takes 20 seconds for the cheetah to catch up to the antelope

Speed is the ratio of distance to time taken. It is given by:

Speed = distance / time

Let d represent the distance covered by the cheetah at time t, hence:

30 = d / t

t = d / 30

The antelope is 100 yards away, hence:

25 = (d - 100) / t

t = (d - 100)/25

d/30 = (d - 100)/25

25d = 30d - 3000

d = 600 yards

t = d/30 = 600/30 = 20 seconds

It takes 20 seconds for the cheetah to catch up to the antelope

Find out more at: https://brainly.com/question/22610586

Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?

Answers

(7x+12)(8x+3)
56x^2+21x+96x+36
56x^2+117x+36

5x + 4y + 7x + y
Answer ?

Answers

Answer:

12x+5y

Step-by-step explanation:

add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y

Answer:

Step-by-step explanation:

5x + 4y + 7x + y

Need to arrange all who have the same variable

=5x + 7x +4y + y

=12x+5y

Dora opens a savings account and puts in $ 290 at the start. Every week, she deposits $ 30 in the account. Which type of function would you use to model the relationship between the number of weeks since Dora opened the account, and the amount of money in the account

Answers

Answer:

f(x)=290+30x

Step-by-step explanation:

the 290 is for the money initially put in, the 30 is for the thirty dollars, and the x represents the number of weeks.

Please take a look at the picture

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔

[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]

A. [tex]x - ( - x) = -x[/tex]

Let us first solve for L. H. S.

We have,

[tex]x - ( - x)[/tex]

[tex] = x + x[/tex]

[tex] = 2x[/tex]

[tex]≠ - x[/tex]

[tex]≠ R. H. S. [/tex]

Hence, option A is incorrect.

B. [tex]0 - ( - x) = - x[/tex]

Solving for L.H.S. , we have

[tex] = 0 - ( - x)[/tex]

[tex] = + x[/tex]

[tex]≠ - x[/tex]

[tex]≠ R. H. S. [/tex]

Hence, option B is ruled out too.

Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].

the orginial price of a pumkin is 3 $ if there is a sale of 25 percent of what is the orginial price

Answers

Answer:

$12

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

7

Step-by-step explanation:

To find what 1/8 of 56 is, we can multiply it by 1/8. This makes it 56/8. Dividing 56 by 8 gives 7.

Please lots of points I wasn’t at school when this was taught

Answers

Answer:

4x+2=4x+4, no solution

Step-by-step explanation:

first, i'm assuming the flower bed is a square so that all 4 sides are x+1. next, to find the perimeter you have to add up the side lengths of each shape.

vegetables: x + x+1 + x + x+1 = 4x+2 so the perimeter of the vegetables must be 4x+2

flowers: x+1 + x+1 + x+1 + x+1 = 4x+4

since the two must be equal, we have 4x+2=4x+4, this is the equation Trent can use

next, to solve the equation, subtract 4x from both sides to get 2=4. this obviously isn't true so there is no solution

6.
Write the equation of the parabola in vertex form.



A. y = x2

B. y = 1/4x^2 + 1

C. y = 1/4x^2

D. y = 1/4( x - 2)^2 + 1

Answers

Answer:  The answer is NOT Letter B

C. y = 1/4x^2

Step-by-step explanation:  I used math.way

A.    y = x^2  = Rewrite in vertex form and use this form to find the vertex ( h , k ) .  ( 0 , 0 )    =Find the vertex form.  y = x 2

B.    y = 1/4x^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 1 )    =Find the vertex form.   y = 1 /4 ⋅ ( x + 0 ) 2 + 1

C.    y = 1/4x^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 0 )  =Find the vertex form.   y = 1 /4 x 2

D.    y = 1/4( x - 2)^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 1 )    = Already in vertex form.   y = 1 /4 ( x − 2 ) 2 + 1

The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.​

Answers

Answer:

RM1,600

Step-by-step explanation:

2000 * 0.20= 400

2000-400= 1600

Grace wants to collect data on the weight of her puppy as it grows. She decides to construct a table with age in weeks and weight in kilograms as variables. Will the ordered pairs from Grace’s data represent a function, a relation or a neither?

Answers

It will represent a relation.

How her dogs age relates to its weight.

Write 7% as a fraction or mixed number in simplest form

Answers

Answer:

7/100

Step-by-step explanation:

:)

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