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
alexandr402 [8]
3 years ago
9

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

sheet.​

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

<h3>8d.</h3>

\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}

___

<h3>9b.</h3>

\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}

___

<h3>10b.</h3>

\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}

Neither solution makes any denominator be zero, so both are good solutions.

You might be interested in
4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
Anon25 [30]

Answer:

Form an equation:

let x be the price of a shirt

Then, the price of a sweater would be x - 5

So you would have:

4(x - 5) + 3x = 200

simplify

4x - 20 + 3x = 200

7x - 20 = 200

add 20 to both sides

7x = 220

divide both sides by 7

x = about 31.43

That means the cost of the sweater would be 31.43 - 5 = 26.43

4 0
2 years ago
Jeff wants to make an a in his math course this semester. To do so, he must have an average of 90 or above. If his test scores t
Kobotan [32]
(88 + 92 + 96 + x) / 4 = 90
(276 + x) / 4 = 90
276 + x = 90 * 4
276 + x = 360
x = 360 - 276
x = 84 <=== he would need an 84
6 0
2 years ago
Read 2 more answers
Suppose that a die-hardly-ever battery has an exponential time-to-failure distribution with a mean of 48 months. at 60 months, t
mel-nik [20]

Since the time to failure distribution is exponential, the distribution is F (n) = 1 – e ^ (-x/48)

The probability of failure between months 60 and 72 is the same as the probability that the battery will fail in 12 months, since the exponential distribution is memoryless F (12) = 0.221

<span> </span>

7 0
3 years ago
Arc Length. BRANLIEST ​
MaRussiya [10]

Answer: The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length. Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Step-by-step explanation:

3 0
3 years ago
¡Help please!
pshichka [43]
= m^4 + 28m^2 - 36m^4 + 8m^5 
= 8m^5 - 35m^4 + 28m^2

Answer
polynomial in standard form
8m^5 - 35m^4 + 28m^2
5 0
3 years ago
Other questions:
  • In a survey, 150 shoppers were asked whether they have access to a computer at home and if they have a personal e-mail account.
    12·1 answer
  • Shade 0.25 of the design,. Write a fraction in simplest form to represent the shaded part of the design
    8·2 answers
  • Given: KLMN is a trapezoid, m∠K = 90°
    13·2 answers
  • I need help with this question, please.
    10·1 answer
  • Beth is selling 14 cookies for $35, if she sells 20 cookies how much will she make?
    9·2 answers
  • I need help to solve please
    12·1 answer
  • A number has the digits 6, 2, 9 to the nearest 100, the number rounds to 600 what is the number
    11·1 answer
  • Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)
    7·2 answers
  • What is 28.6 rounded to the nearest tenth ?
    8·1 answer
  • A support wire reaches from the top of a pole to a clamp on the ground. The pole is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!