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
mariarad [96]
3 years ago
5

Simplify the expression below.

Mathematics
1 answer:
marta [7]3 years ago
8 0
The first we are going to do to simplify the expression \frac{6m^{3}-16m^{2}+15m-40}{2m^2+5} is factoring the numerator by grouping similar terms as follows:
\frac{6m^{3}-16m^{2}+15m-40}{2m^2+5}
\frac{(6m^{3}-16m^{2})+(15m-40)}{2m^2+5}
\frac{2m^2(3m-8)+5(3m-8)}{2m^2+5}
\frac{(3m-8)(2m^2+5)}{2m^2+5}

Now we can cancel the common factor, 2m^2+5 in both numerator and denominator:
\frac{(3m-8)(2m^2+5)}{2m^2+5}
3m-8

We can conclude that \frac{6m^{3}-16m^{2}+15m-40}{2m^2+5} =3m-8


You might be interested in
Here's some points .
mars1129 [50]

Answer:

thanks mate

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Someone help ASAP!!!!!!
Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒       Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $ \frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)} $

$ = \frac{-7 \pm \sqrt{49 + 8(99)}}{4} $

$ = \frac{-7 \pm + \sqrt{841}}{4} $

Since, $ \sqrt{841} = 29 $ we get:

$ w = \frac{-7 \pm 29}{4} $

This gives two values of 'w', viz., w = $ \frac{-7 - 29}{4} $, $ \frac{-7 + 29}{4} $

$ \implies w = \frac{22}{4}, \frac{-36}{4} $

⇒ w = $ \frac{22}{4} $, -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0
3 years ago
What is the measure of EFG in 0 0 below?
const2013 [10]

Answer:

C. 300

Step-by-step explanation:

EFG and EG is the total distance around the circle

EFG + EG = 360 degrees

EFG + 60 = 360

Subtract 60 from each side

EFG +60-60 = 360-60

EFG = 300

5 0
4 years ago
Read 2 more answers
What's the surface area?<br> (EXPLAIN YOUR ANSWER)
cestrela7 [59]
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

57960ft
5 0
3 years ago
Another question to stimulate the mind 11248 what's the 11th digit and why
choli [55]

Answer:

First member-> 1 -> "1 one"

Second member-> 11 -> "2 ones"

Third member-> 21 -> "1 two, 1 one"

Fourth member -> 1211 -> "1ones, 1 two, 2 ones"

Fifth member-> 111221 -> "3 ones, 2 twos, 1 ones"

Sixth member-> 312211 -> "1three, 1 one, 2 twos, 2 ones"

Seventh member-> 13112221 ->" 1 one, 1 three, 2 ones, 3 twos, 1 one"

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • the cost of a personal pizza is $4. a drink cost $1. Anna wrote the equation y=4x + 1 to represent the relationship between tota
    11·2 answers
  • A bottle contains red beads and white beads.
    7·1 answer
  • Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
    10·2 answers
  • How many 1/16 pieces are in 2/8
    10·1 answer
  • Leola ran in a 10 kilometer race about how many miles did she run?
    15·1 answer
  • How much red paint and blue paint do you use to make 20 cups of purple paint?
    15·1 answer
  • Find f(0) f(1) and f(3)
    9·1 answer
  • PLS HELPPP WILL GIVE BRAINLIEST
    15·1 answer
  • The vertices of AXYZ are X(-4, 7), Y(0, 8), and Z (2, -1).
    6·1 answer
  • GIVING BRAINLIEST FOR BEST ANSWER!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!