Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C
Answer:
2016
Step-by-step explanation:
To solve this problem, let us find the prime factors of the given numbers:
96
8 x 12
2 x 2 x 2 2 x 2 x 3
2⁵ x 3
144
12 x 12
2 x 2 x 3 2 x 2 x 3
2⁴ x 3²
126
2 x 63
2 7 x 9
2 3 x 3 x 7
2 x 3² x 7
So, the lowest common multiple = 2⁵ x 3² x 7 = 2016
Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:

Answer: 1/256
Step-by-step explanation:
You can take out the negative in the exponent by flipping the numerator and denominator to get
. Then simplify to get
.