Answer:
no mistakes
Step-by-step explanation:
4 * 3^x = 324
Divide each side by 4
4/4 * 3^x = 324/4
3^x = 81
Rewriting 81 as a power of 3
3^x = 3^4
Since the bases are the same, the powers are the same
x=4
Answer:
104 14/15
Step-by-step explanation:
15 goes into 1574 104 times and you have 14 remaining so you have 104 with a remaining fraction of 14/15.
Answer:
A and C
Step-by-step explanation:
Both angles j and m share one common side and vertex with angle k. Angle n only shares a vertex and not a side with angle k, so it is not adjacent.
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
