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
olchik [2.2K]
3 years ago
9

Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

Mathematics
2 answers:
jasenka [17]3 years ago
7 0
Hello,

6x²-5x-56=0
==>6x²-21x+16x-56=0
==>3x(2x-7)+8(2x-7)=0
==>(2x-7)(3x+8)=0
==>x=7/2 or x= -8/3


uysha [10]3 years ago
6 0

Consider the given equation 6x^2-5x=56

We have to use the zero product property to evaluate the solutions to the given equation.

The Zero product property states that "The product of factors is zero if and only if one or more of the factors is zero".

Since, 6x^2-5x=56

6x^2-5x-56=0

We will use "middle the splitting term" method to evaluate its solutions.

6x^2-5x-56=0

6x^2-21x+16x-56=0

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

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

Now, by zero product property,

3x+8=0

x=\frac{-8}{3}

or

2x-7=0

x=\frac{7}{2}

So, the solutions are x=\frac{-8}{3} or x=\frac{7}{2}.

You might be interested in
Ben's date of birth is a prime number between 15 and 25. This number has 57 as a multiple.What date is Ben's birthday?Write the
Serggg [28]
Hope this answer helps you! Please make it the brainiest answer if it does! :)

7 0
3 years ago
Alana walks 5/6 of a mile to a park. Dane walks 1/2 of the distance Alana walks to get to the park. How far does Dane walk to th
Andru [333]

Hi There!

Find a fraction that can be cut in half,

5/6 = 10/12

Dane walks half the distance,

Half of 10/12 is 5/12

Answer: Dane walks 5/12 of a mile to a park.

Hope This Helps :)

6 0
3 years ago
What is the exact distance from (−1, 4) to (6, −2)?
Morgarella [4.7K]

Answer:

The exact distance is √(29) or 29^(1/2)

Step-by-step explanation:

Find the answer using the distance formula (aka the Pythagorean theorem)

d=√(x1+x2)^2+(y1+y2)^2)

d=√(-1+6)^2+(4+-2)^2), Solve for d:

d= √((25)+(4))

d=√(29)

7 0
3 years ago
Read 2 more answers
Paul is making banana bread. The number of cups of bananas he uses is proportional to the number of loaves of bread. Paul uses 1
drek231 [11]

The equation that best represents the relationship between the number of loaves of bread which is denoted by b and the number of cups of bananas which is denoted by c is c = 2 1/4b.

We know that we need 11 ¼ cups of bananas is needed to make 5 loaves of bread.

We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼ represents how many cups is needed to make 1 loaf of bread.

7 0
2 years ago
Please help ASAP<br><br> Evaluate the expression 64 ÷ x − 4, when x = 8
Klio2033 [76]

Answer:

4

Step-by-step explanation:

64/8= 8

8-4 = 4

Good Luck!

3 0
2 years ago
Other questions:
  • Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.
    13·1 answer
  • C = 5/9 (F - 32) <br><br> Please help
    14·1 answer
  • What number is halfway between 60and 70
    15·2 answers
  • Which is an example of continuous data?
    5·1 answer
  • YOU MUST BE DREAMING: "In one hand I have an idea, in the other, I have an obstacle. Which one grabs your attention?"-Henry Park
    12·1 answer
  • ~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~
    8·2 answers
  • Please solve this I need help<br> +
    13·1 answer
  • Aaliyah is a salesperson who sells computers at an electronics store. She makes a base pay of $70 each day and then is paid a $1
    7·2 answers
  • Where is the blue dot on the number line? (please hurry!)
    14·2 answers
  • Simplify 5-2(×-3) and (m+5)(m+5)​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!