<span>Cost 1 pack = x
3x + 10 = 5x
2x = 10
x = 5
1 pack cost $5
Hope this helped</span>
The answer would be 2. As you can see on the point, you already have (-2,2) as a point. F(x) equals y in a sense. So when plugging in x into a function, you should get its respect y value. In the function graph, -2 yields 2. Therefore, your answer is 2.
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Answer: 10 and 11 or -11 and -10
Speed is the rate of change of distance.
the speed of the truck for the 100 miles within 2 hours is
speed = 100 miles travelled / 2 hours taken
speed = 50 miles/hour
assuming that the driver drives at 50 miles/hr
the time taken to drive 50 miles is - 1 hour
therefore to drive 300 miles - it takes - 300 miles / 50 miles/hr
the time taken is - 6 hours
it takes 6 hours to drive for 300 miles