Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
n=5, -5
<h3><u>The value of x is equal to 1.</u></h3><h3><u>6(x + 2) = 20x - 2</u></h3>
<em><u>Distributive property.</u></em>
6x + 12 = 20x - 2
<em><u>Add 2 to both sides.</u></em>
6x + 14 = 20x
<em><u>Subtract 16x from both sides.</u></em>
14 = 14x
<em><u>Divide both sides by x.</u></em>
x = 1
Answer:
2 pages per minute
Step-by-step explanation:
when you divide 7 by 3, your answer would be 2.3333333333 and so on.
however, you can say
iT pRiNtS 2 aNd A tHiRd pAgEs PeR MiNuTe.
you should say it prints 2 whole pages a minute.
i hope this helps!
stay safe!
:)
Answer:
The average change is 405
Step-by-step explanation:
The initially the number of subscriber = 12125
After five years the number of subscriber = 10100
Now we have to find the average change in the number of subscribers.
The average yearly change = change in subscriber/number of years.
Now insert the values in the above formula.
The average yearly change = (12125 – 10100) / 5
The average yearly change = 2025/5
The average yearly change = 405
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
