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
Rina8888 [55]
3 years ago
8

What is the simplified form of this rational expression? 6x^2-54/5x^2+15x

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

The simplified form of the expression is \frac{6x^2-54}{5x^2+15x}=\frac{6(x-3)}{5x}            

Step-by-step explanation:

Given : Expression  \frac{6x^2-54}{5x^2+15x}

To find : What is the simplified form of this rational expression?

Solution :

Step 1 - Write the expression

=\frac{6x^2-54}{5x^2+15x}

Step 2 - Factor the numerator and denominator,

=\frac{6(x^2-9)}{5x(x+3)}

=\frac{6(x-3)(x+3)}{5x(x+3)}

Step 3 - Cancel the factor (x+3) from numerator and denominator,

=\frac{6(x-3)}{5x}

Therefore, The simplified form of the expression is \frac{6x^2-54}{5x^2+15x}=\frac{6(x-3)}{5x}

NeX [460]3 years ago
7 0
Factor the numerator and denominator then simplify.

6x^2 - 54          6(x^2 - 9)          6(x + 3)(x - 3)        6(x - 3)
--------------  =    -------------     =  ------------------  =  ------------
5x^2 + 15x      5x(x + 3)            5x(x + 3)                5x


6(x - 3)
----------
5x
You might be interested in
What is the best method to separate a mixture of staples and salt?
schepotkina [342]

Answer:

A filter.

Step-by-step explanation:

6 0
3 years ago
Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sale-tax rate did Sam pay? 0.06
Debora [2.8K]
The sale tax rate is 6.5%
8 0
3 years ago
Rewrite the equation 4x + 5x2 = 8x – 7 in standard form and
Makovka662 [10]

Answer:

The correct option is a=5, b = -4, c=7 ....

Step-by-step explanation:

The standard form is ax²+bx+c=0

where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

The given expression is:

4x + 5x2 = 8x – 7

To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.

4x+5x²-8x+7=0

Now solve the like terms and arrange the equation according to the standard form:

ax²+bx+c=0

5x² - 4x +7 =0

Here a = 5

b = -4

c= 7

Thus the correct option is a=5, b = -4, c=7 ....

4 0
3 years ago
WILL MARK BRAINLIEST IF YOU ARE CORRECT!
mixas84 [53]
The laundry one is C
The ladder one is B.
6 0
3 years ago
A right triangle as shown below
anastassius [24]

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

6 0
3 years ago
Other questions:
  • How do i find the length of side labeled y?
    6·1 answer
  • PLEASE HELP WITH 35-37 DUE TOMORROW PLEASE ALSO EXPLAIN HOW YOU DID IT THANKS
    8·1 answer
  • What is 7/8 times 4 1/6
    9·1 answer
  • 2x – 3y = 12<br> x= 4y + 1
    7·1 answer
  • How do calculate net pay and gross pay together to make one whole sum?
    12·1 answer
  • Which expression has a value closest to 1 ? (Use 3.14 as the value of pie.)
    11·1 answer
  • A bag of jellybeans has 20 watermelons jellybeans, 45 sour apple jellybeans, 30 orange jellybeans and 5 cotton candy jellybeans.
    11·1 answer
  • A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers.
    10·1 answer
  • I need help with this problem please if you can help I would really appreciate it and the problem is number 10
    14·1 answer
  • Help meee plz fast!!!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!