Answer:
x=1,2
Step-by-step explanation:
x^2-3x+2=0
(x-1)(x-2)
x-1=0
x-2=0
x=1,2
Answer:
4^(-11)
Step-by-step explanation:
To divide powers, subtract the exponents.
4^(-2) / 4^9
-2-9=-11
So, the answer is 4^(-11), which is basically 4 to the eleventh power.
Answer:
the answer is a rational number
The total weight of candies is unknown. Let x = the total weight of candies.
"One student ate 3/20 of all candies and another 1.2 lb":
The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.
"The second student ate 3/5 of the candies and the remaining 0.3 lb."
The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.
Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.
That was all the amount of candies, so that sum equals x.
0.15x + 1.2 + 0.6x + 0.3 = x
Now we solve the equation for x to find what the total amount of candies was.
0.75x + 1.5 = x
-0.25x = -1.5
x = 6
The total amount of candies was 6 lb.
The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.
The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.
Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.
The equation of the circle is written as: (x - h)² + (y - k)² = r²
(h,k) are the points of the center of the circle.
r is the radius.
In case of the given equation the center is (-3,-5)
Hope this helps :)
