All categories

3 years ago

What is equivalent to 1/3(x9x + 12) + 4x + 6

Mathematics

1 answer:

Annette [7]3 years ago

7 0

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

You might be interested in

X ^3 + 6x^2 +12x+8 ÷(x+2)

Doss [256]

X^2+4x+4 and there is no remainder

4 0

3 years ago

Read 2 more answers

Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma

levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = $\dfrac{1}{4}$

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = $\dfrac{1}{2}$

Let 't' be the time taken by both of them working together , then we have the following equation:-

$\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}$

Since 1 hour = 60 minutes

Then, $\dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}$

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0

3 years ago

Factor 2x 2 - 10x + 8 completely.

murzikaleks [220]

Answer:

2(x-1)(x-4)

Step-by-step explanation:

Begin by dividing each term by 2 and pulling the 2 to the front.

$2x^2-10x+8 = 2(x^2-5x+4)$

This is a trinomial. Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial $ax^2+bx+c$ multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as $(x-/+ number)(x-/+number)$ .

$x^2-5x+4$

a=1, c=4

ac=4 and add to b=-5 which -1 and -4 satisfy

The factored form is 2(x-1)(x-4).

6 0

3 years ago

A cell phone company wants to predict the probability of a seventh grader in your city, City A, owning a cell phone. Records fro

Sonja [21]

Well, I can't see the numberes if any

so I can only answer part b

a 7th grader male or a seventh grader

there are male and female 7th graders so thereefor there is a greater probaility of having a 7th grader of any gender than a 7th grader male

3 0

3 years ago

Mr.Afzal bought an article for Rs4400 for 3years at 8 percent what was the interest charge?

zimovet [89]

$\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}$

Here , the given data is :

Principal = Rs 4400 . ( P )
Time = 3 years . ( T )
Rate of Internet = 8% . ( R )

We can calculate Simple Interest using ,

$\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}$

On substituting the respective values ,

⇒ SI = P × R × T / 100.

⇒ SI = Rs 4400 × 8 × 3 / 100 .

⇒ SI = Rs 44 × 8 × 3 .

⇒ SI = Rs 1,056 .

Hence the required Interest is Rs 1,056.

5 0

3 years ago