1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
2 years ago
9

Describe and correct the error(s) made in each of the problems below.

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

You might be interested in
Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.<br>​
sp2606 [1]

Answer:

\large\boxed{f(x)+(x-3)^2-7}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7

8 0
3 years ago
75g og corn flakes provides 27 calories. how many calories are in 120g of cornflakes
strojnjashka [21]
If you divide 27 by 75 you will get .36 calories. .36 is how many calories are in one gram of corn flakes. So if you multiply .36 and 120 you will get 43.2 therefore there is 43.2 calories in 120 grams of corn flakes.
5 0
3 years ago
A particle p is moving along the x-axis the displacement x metres from O can be writen as x=t^5-12t²+9 find the velocity
Lisa [10]

Answer:

v = t (5t^{3} - 24)

Step-by-step explanation:

We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.

============================================================

Solving :

⇒ \frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)

⇒ v = (5)t^{5-1} - (2)12t^{2-1} + 0

⇒ v = 5t^{4} - 24t

⇒ v = t (5t^{3} - 24)

Using this equation, we can find the velocity if a value of t is given.

5 0
1 year ago
What values of a and b would make the equation shown below have infinitely many solutions?
Leokris [45]

Answer:

a=-3

b=6

Step-by-step explanation:

equation 1: ax+6

equation 2: -3x+b

get the -3 from equation 2 and plug it into equation 1

get the 6 from equation 1 and plug it into equation 2

5 0
2 years ago
The amount of rainfall each month over the past four years is shown below
Angelina_Jolie [31]
Unknown answer, not enough info.
4 0
3 years ago
Other questions:
  • PLZ HELP ASAP WILL MARK BRAINIEST
    5·1 answer
  • Whats v= π r^2h ; (h)
    11·1 answer
  • Find the solution set of the inequality<br> 35- 4x &gt; 2
    12·1 answer
  • The teacher buys a pack of notebooks for give his students the ratio of the gold notebooks to red notebooks is represented in th
    14·2 answers
  • 40 points!! Find the length of segment ZY in the given triangle.
    14·1 answer
  • Jefferson is plotting the vertices of an isosceles triangle on a coordinate graph. He has plotted the two points shown. Where wo
    10·2 answers
  • What is 94.53 ÷ 2.3? <br>O 41.1 <br>O4.11 <br>O 411 <br>O 0.411​
    11·1 answer
  • Θ এর কোন মানের জন্য sin2θ+cos2θ= 1 হয় ?​
    9·1 answer
  • Which of the tables below doesn’t represent a function
    12·1 answer
  • In health class, Baldwin is learning about making healthy food choices. For a lesson on
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!