In reality your common denominator should be the Least Common Multiple. The LCM is the product of highest occurring primes of the numbers prime factorizations...
4=2*2, and 12=2*2*3. So the LCM is 2*2*3=12 Now that you know what the least common multiple is we can say that:
(3/4)(3/3)+5/12
9/12+5/12
(9+5)/12
14/12
7/6 which should be converted to a mixed number as this is an improper fraction...
(6+1)/6
1+1/6
1 1/6
Answer:
x= 0
Step-by-step explanation:
Here in this question, we are given a linear equation of single variable x, and we have to solve the equation for x.
The given equation is 9x -7= -7 ....... (1)
Now, taking all the constant terms to the right side of the equation and all the x terms to the left side of the equation.
Hence, the equation becomes
9x = -7 +7
⇒ 9x =0 {Since, -7 and 7 cancels each other}
⇒ x= 0/9= 0 (Answer) {Since zero divided by any number is equal to zero}
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
<span> x^2-14*x+31-(63)=0 </span><span>x = 16
</span>
We have that
<span>question 1
Add or subtract.
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3
the answer is the option
</span><span>B: m2 + 10m3
</span><span>Question 2:
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3
the answer is the option
</span><span>B: 8a3 + 6a2 − 7a + 3
</span><span>Question 3:
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.
we have that
[</span>the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
<span>=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30
the answer is the option
</span><span>C: −0.03x2 + 6x + 30
</span><span>
</span>
