All categories

3 years ago

(-6x3-4x2-8)+(x3-x2-9x+4) add together and simply

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

-5x³ -5x² -9x - 4

Step-by-step explanation:

(-6x³-4x²-8)+(x³-x²-9x+4)

Add the like terms.

-6x³ and x³ are like terms. -6x³ + x³ = -5x³

-4x² and -x² are like terms. -4x² - x² = -5x²

-8 and 4 are like terms. -8 + 4 = -4

-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4

You might be interested in

What graph represents the following piecewise defined function? <br> g(x)={x^2, x<0, 1/2x, 0 4

Svetlanka [38]

Answer:

The Answer above The Image

Step-by-step explanation:

Thanks…………………

3 0

2 years ago

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

<em>NO SOLUTION</em>

7 0

3 years ago

Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted

shusha [124]

Answer:

i think 2/15 of the cookies

Step-by-step explanation:

hope this helps

3 0

1 year ago

I have 50 to spend at beach. A kayak cost 5 per hour to rent. I buy lunch for 8.50. I want to save 15 for food later. How many h

Gekata [30.6K]

Answer: you can rent the kayak for 5.3 hours

Step-by-step explanation:

Total amount of money that you have to spend at the beach is 50.

A kayak cost 5 per hour to rent. This means that if you rent the Kayak for X hours, the amount that you will spend would be 5×x = 5x. I buy lunch for 8.50. I want to save 15 for food later. This means that total amount of money spent is the sum of money spent in renting the kayak and buying of lunch.

Total amount spent = 5x + 8.50

Total amount spent + Total amount that you want to save = Total amount of money that you have to spend at the beach. Therefore

5x + 8.50 + 15 = 50 - 15 - 8.5 = 26.5

x = 26.5/5 = 5.3

8 0

3 years ago

There are 3 consecutive integers such that the sum of the 2 smallest integers is 17 less than three times the largest. What is t

RSB [31]

Answer:

X + (X+1) +(X+2)

(X+(X+1)) = 3 *(X+2) + 17

2X +1 = 3X + 6 +17

X = -22

So the three integers are -22 -21 and -20

Double-Check *******************

(-22 -21) = 3 * (-20)

-43 = -60 +17

Step-by-step explanation:

8 0

3 years ago