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
Llana [10]
3 years ago
9

Use the zero product property to find the solutions to the equation 6x^2 – 5x = 56.

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

x = 7/2 or x = -8/3

Step-by-step explanation:

Solve for x over the real numbers:

6 x^2 - 5 x = 56

Divide both sides by 6:

x^2 - (5 x)/6 = 28/3

Add 25/144 to both sides:

x^2 - (5 x)/6 + 25/144 = 1369/144

Write the left hand side as a square:

(x - 5/12)^2 = 1369/144

Take the square root of both sides:

x - 5/12 = 37/12 or x - 5/12 = -37/12

Add 5/12 to both sides:

x = 7/2 or x - 5/12 = -37/12

Add 5/12 to both sides:

Answer:  x = 7/2 or x = -8/3

viktelen [127]3 years ago
5 0

Step-by-step explanation:

solving for x

6x²-5x=56

subtract 56 from both sides

6x²-5x-56=0

using middle term break method

factorise (56)(6)=(2*2*2*7)(2*3)

=(2*2*2*2) makes 16 and combining(3*7) makes 21

so we have

=6x²+16x-21x-56=0

taking factors out of first two terms and then other two terms

=>2x(3x+8)-7(3x+8)=0

=>(2x-7)(3x+8)=0

either 2x-7=0 or 3x+8=0

2x=7 or 3x=-8

x=7/2 or x=-8/3

You might be interested in
he volume of a rectangular prism is cubic units, and the base area of the prism is square units. The height of the rectangular p
lions [1.4K]
Answer: square units

Explanation: cubic units are used for volume, square units are used for he base, height, and area of a solid figure
4 0
3 years ago
Mr lin has 10 baesball his gym make 4 teams
spin [16.1K]

Answer:

Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group

Step-by-step explanation:

It would be better if he had 5 teams because everyone will be able to be in a team

4 0
3 years ago
Michelle has some dimes and quarters. If she has 22 coins worth a total of $2.80, how many of each type of coin does she have?
labwork [276]

Answer:

she has 4 quarters and 18 dimes

4 0
3 years ago
Read 2 more answers
10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

A(t) = A(0)e^{-rt}

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

A(t) = A(0)e^{-rt}

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0
2 years ago
Can you help me with this
Svetradugi [14.3K]
I can help with number 4 we are learning this in my class to (5th grade) Its tough
3 0
3 years ago
Other questions:
  • For questions 1-2 identify the zeros of the function
    5·1 answer
  • Point w is located at (6,2) where is W after a 180 degrees counterclockwise rotation
    11·1 answer
  • Describe the mistake that Jude made.
    8·1 answer
  • Your family loves turkey! Uncle Bill ate 1/4 of the turkey, cousin Chris ate 15% of the turkey, cousin Timmy ate 0.3 of the turk
    13·1 answer
  • F<br> 9<br> H<br> 10<br> 7<br> G<br> P<br> y<br> R<br> 3.5<br> Q
    9·1 answer
  • Helpppp me please!!!!
    15·1 answer
  • Write an expression that is equivalent to 8(2y+4)
    13·1 answer
  • What are the steps when you simplify fractions
    11·2 answers
  • A bricklayer lays 421 bricks on day 1 of a project, 623 on the 2nd day, and 343 the 3rd day, how many was the total number of br
    13·1 answer
  • Simplify (3+√5)(3+√2)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!