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Debora [2.8K]
3 years ago
13

Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

a=\frac{3}{x^{2} }

b=5

Step-by-step explanation:

we are given

\frac{3}{x} }+\frac{5}{x^{2} }=ax+\frac{b}{x^{2} }

we will compare both sides of equaion

 \frac{b}{x^{2} }=\frac{5}{x^{2} }

comparing both sides we get

b=5

and

\frac{3}{x} }=ax

a=\frac{3}{x^{2} }

hence

a=\frac{3}{x^{2} }

and   b=5

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What number is 100 times as great as 0.3
Nataly [62]
30 because 0.3 * 100 = 30
8 0
3 years ago
How do you find measures using postulates and theorems?
Dennis_Churaev [7]
Just use the definitions and put them in order to explain the problem.m. for instance. why are angles a and b vertical angles? they are adjacent and they are supplementary.
8 0
2 years ago
Question 9 of 15 (1 point)
mote1985 [20]

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

4x+10 = x-17

Subtracting 10 from both sides

4x+10-10 = x-17-10\\4x = x-27

Subtracting x from both sides

4x-x = x-x-27\\3x = -27

Dividing both sides by 3

\frac{3x}{3} = \frac{-27}{3}\\ x = -9

<u>Verification:</u>

4(-9)+10 = -9-17\\-36+10=-26\\-26=-26

The number is -9

Keywords: Linear equation, variables

Learn more about linear equation at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

7 0
2 years ago
Solve the equation and check your answer. 0.95 t plus 0.05 left parenthesis 100 minus t right parenthesis equals 0.49 left paren
Triss [41]
<h2>Answer:</h2>

The value of t is:

                     t=48.8889

<h2>Step-by-step explanation:</h2>

We are asked to solve the linear equation in terms of variable t.

The equation is given by:

0.95t+0.05(100-t)=0.49(100)

Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:

0.95t+0.05\times 100-0.05t=49

Now we combine the like terms on the left side of equality by:

0.95t-0.05t+5=49\\\\i.e.\\\\0.90t+5=49

Now we subtract both side of the equation by 5 to get:

0.90t=44

Now on dividing both side of the equation by 0.90 we get:

t=\dfrac{44}{0.90}\\\\i.e.\\\\t=48.8889

Hence, the value of t is:   48.8889

7 0
3 years ago
Please, help thanks!<br> I would like an explanation how to do it too, IF you dont mind.
Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

<em>So, what do we know?</em>

Well we know the following information...

<em>p + a + o = 270</em>

(Phoebe + Andy + Polly = £270)

<em>p = 3a</em>

(Phoebe = 3 times more than Andy)

<em>a = 2o</em>

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.<em>The only one we can use is "o" for Polly!</em>

<em></em>

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. <em>(To do this we will input our value, 30, where our variable is "o")</em>

<em></em>

<u>Andy</u>

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

<em>(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)</em>

<u>Phoebe</u>

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

<em></em>

4 0
2 years ago
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