Use distribution to find the answer to this one.
5x * 6x² = 30x^3
5x * 3x = 15x²
5x * 7 = 35x
-1 * 6x² = -6x²
-1 * 3x = -3x
-1 * 7 = -7
30x^3 + 15x² + 35x - 6x² - 3x - 7 → simplify this using like terms (look at the exponent of x and if there even is one)
30x^3 stays becuase there is no other like terms
15x² - 6x² = 9x² becuase they are like terms
35x - 3x = 32x because they are like terms
-7 stays because ther is no other like terms
Put these together in the final answer: 30x^3 + 9x² + 32x - 7
Hope this helps!
Answer:

Step-by-step explanation:
According to the information of the problem the plane is traveling at a constant velocity therefore the function that models that gives the distance of the plane from city B at time t hours would be linear. Something like this.

The velocity is the slope of the line and if you take B as your reference you would be going backwards therefore we would say that
. And as I mentioned before if you take B as your reference your starting point would be 2070 miles away, therefore the function would be

The steeper the line is (the larger the slope), the faster the speed is. This is due to the fact that speed=distance/time and the slope=y/x which is distance over time on a distance v time graph.
let me know if you need further explanation by leaving a comment and I hope this helps.
Hi there!
Let th' two number be ' a ' and ' b ' [ a > b ]
According to th' question :-
→ The largest of two numbers is 12 more than the smaller number.
a = 12 + b ---(i)
→ Sum of the two numbers is 74.
a + b = 74
b = 74 - a ---(ii)
Substitute th' value of ' b in Eqn. :-
a = 12 + (74 - a)
a = 86 - a
a + a = 86
2a = 86
a =

= 43
Now,
Substitute th' value of ' a ' in Eqn. (ii)
b = 74 - b
b = 74 - 43
b = 31
Hence,
The required answer is :-
• The smaller number is 31
• The largest number is 43
~ Hope it helps!
Answer:
4.806 g ≤ n ≤ 5.194 where n is the mass of a nickle.
Step-by-step explanation:
The problem tells us the weight can vary by .194 g, this means it can be up to .194 lighter and 194 heavier. Well what value is .194 lighter and .194 heavier? 4.806 and 5.194 respectively. So that means a nickle can be anywhere in that range, which tells us the inequality.