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
Marysya12 [62]
3 years ago
5

Simplify: 18q2−45q+25/9q2−25.

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

\frac{(6q-5)}{(3q+5)}

Step-by-step explanation:

Given: \frac{18q^{2}-45q+25 }{9q^{2}-25 }

Factorizing the numerator and the denominator, we have:

18q^{2} - 45q + 25 = 18q^{2} - 30q - 15q + 25

                         = (3q - 5)(6q - 5)

and

9q^{2} - 25 = (3q - 5)(3q + 5)

So that,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}

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

Therefore,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(6q-5)}{(3q+5)}

You might be interested in
Sean wrote the equation 9.25 = 5m, where m is the cost per pound, to show the relationship between the total cost, $9.25, and th
OLEGan [10]
<h2>Explanation:</h2>

The complete question is in a comment above. The statements says that:

  • Sean wrote the equation 9.25=5m
  • m is the cost per pound.
  • The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.

So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:

y=f(x)

From the equation we can determine m as:

m=\frac{9.25}{5}=1.85

So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:

\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x

So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:

\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}

From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).

3 0
4 years ago
Tehtävä 44<br><br>b) 12,2,10,4, ,​
Tpy6a [65]

I am not sure it is 2i think

7 0
3 years ago
How do I solve ........
sasho [114]

Answer:

Just plug in 10^2-7.5^2

To get 43.75

Step-by-step explanation:

I hope you figure this out.

6 0
3 years ago
PLZ HELP!!!!!!!!!!!
mylen [45]

Answer:

same

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
The freshman class at West High is planning an adventure park event. The park charges $300 for a group day pass with an addition
Elanso [62]

Answer:

C

Step-by-step explanation:

Key in the expression is "s" that represents students going to the trip

The first part shows what the adventure park is going to charge, a group day charge of $300 and $30 more for the students taking the ropes course

300+30*s

The second being the amount the class can get, $500 the have in the account and $25 per student in tickets they have to sell

500+25s

The result of this subtraction is the money they need to raise to complete

C: The expression shows how much money the freshman class may need to raise in order to afford the event

7 0
3 years ago
Other questions:
  • What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
    15·1 answer
  • Margaret has just begun the process of filing her federal income tax return, and she plans to deduct charitable contributions. W
    7·1 answer
  • What do you add too 17/4 to make 5
    8·1 answer
  • Is 4.5 a rational number
    8·2 answers
  • 4000 is 1/10 of what number
    15·2 answers
  • What is the volume of a sphere with a radius of 18 units
    9·1 answer
  • Which equation can be used to solve for x in the following diagram? pls help
    15·2 answers
  • 2x+4y=14 what is y and what is x
    10·1 answer
  • Dean invests $500 for 10 years at a rate of 1.7% per year simple interest. Calculate the total interest earned during the 10 yea
    9·1 answer
  • I NEED THIS ANSWER QUICK (5 1/6 - x) ∙ 2.7 - 5 3/4 = -1.25 what is x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!