Answer:
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Step-by-step explanation:
Call the speed of the truck (x) miles per hour. As per the given information, the car is (19) miles per hour faster. Thus, one can form expressions to represent the speeds of the vehicles.
car = ( x + 19 ) mph
truck = ( x ) mph
Using the formula, ( (speed) * (time) = (distance) ), one can say that the speed of the car, times the time it took plus the speed of the truck times the time will equal the distance between the two vehicles:
(( car speed )( time )) + (( truck speed )( time )) = ( distance between vehicles )
Substitute,
( ( x + 19 ) ( 8 ) ) + ( ( x ) ( 8 ) ) = 1048
Simplify,
8x + 152 + 8x = 1048
16x + 152 = 1048
-152 -152
16x = 896
/16 /16
x = 56
Add (19) to find the speed of the car:
truck speed + 19
= 56 + 19
= 75
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Answer:
Step-by-step explanation:
if 124.50 represents 100%
how much x represents 6% ?
cross multiply
x= 124.50*6/100= 7.47
$7.47 > $5.95 so it will pay $7.47 in shiping
If I am correct, the surface area of the prism should be 404ft.
Answer:x = +- 2 and x = +- √2
Step-by-step explanation:
Let's covert x^4 - 6x^2 + 8 = 0 into quadratic equation.
Let e = x ^ 2
So,
(x^2)^2 - 6x^2 + 8 = 0
e^2 - 6e + 8 = 0
e^2 - 4e - 2e + 8 = 0
e( e - 4 ) -2( e - 4 )
( e - 4 ) ( e - 2 ) = 0
Either,
e - 4 = 0
x^2 - 4 = 0 ( REMEMBER THAT e= x^2)
x^2 = 4
x = +- 2
Or,
e - 2 = 0
x^2 = 2
x = +- √2
Answer:
An exponential factor is a mathematical component that allows us to write exponential functions in terms of f(x)=aˣ
Step-by-step explanation:
It is common to encounter exponential factors when conducting science experiments.A general form of an exponential factors is f(x)=10ˣ. Logarithms are the inverse of exponential factors in that the logarithm factors can remove the exponential factor from a function.