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
Afina-wow [57]
3 years ago
9

Use zero property to solve the equation. F(x)=3x(x+7)-2(x+7)

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

Answer:

x = -7 or x = 2/3

Step-by-step explanation:

I'm assuming you meant solve for x when f(x) = 0.

f(x) = 3x(x + 7) - 2(x + 7)

0 = (x + 7)(3x - 2) -- Both terms have a common factor of (x + 7) so we can group them

x + 7 = 0 or 3x - 2 = 0 -- Use ZPP

x = -7 or x = 2/3 -- Solve

You might be interested in
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
miss Akunina [59]

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.

8 0
3 years ago
Tell me something &lt;333 ^^
nexus9112 [7]

Answer:

Hi I hope you have a wonderful day!!

Step-by-step explanation:

I hope this makes your day :))!

4 0
2 years ago
Which luncuon escribes ud yait:
anastassius [24]

Answer:

it is 27

Step-by-step explanation:

5 0
3 years ago
The first 3 figures in a pattern are shown.
Gennadij [26K]
C because wikenenebbejebe
4 0
2 years ago
How do u identify a rate in ratios
Alex17521 [72]
Here is my notes from 7th grade math class!
6 0
3 years ago
Other questions:
  • Jason deposits $5 into his savings account twice a week for 6 weeks. How much money will he have saved after 6 weeks?
    7·1 answer
  • Suppose it is known that 10% of all people in Texas have a specific blood type. Suppose we take a random sample of 500 Texas res
    6·1 answer
  • I don't understand this problem, please help?!?!?!
    12·1 answer
  • Determine if the proportion is true
    6·2 answers
  • What expression is equivalent to 4(2x+7)
    9·1 answer
  • The product of two positive consecutive integers is 132. find the integers.
    5·1 answer
  • What degrees do you need to rotate a fan?​
    10·1 answer
  • PLEASE HELP!! 6th grade ixl- s.17
    10·2 answers
  • I need help with this geometry question
    12·1 answer
  • Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digi
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!