You have to distribute the exponent of 4 to the whole equation.
so step one is to distribute to the 3
3^4= 81
then we have to distribute to the x
x^4
then to the 2
2^4= 16
81 * x^4 * 16
* = multiplication sign
Step-by-step explanation:
When two statements are connected with an 'and,' you have a conjunction.
For conjunctions, both statements must be true for the compound statement to be true.
When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.
Answer:
a= 8x+6x+48x+1
Step-by-step explanation:
Area of large rectangle is represented by a
a= 8x+6x+48x+1 - This is expanded form
Can be simplified to a= 62x+1
Slope= (Y2-Y1)/(X2-X1)
Slope=(3-(-4) ) /(-14-(-7) )
Slope= (3+4)/(-14+7)
Slope=7/-7
Slope= -1
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
