You have to look at the equation and find a common factor bettween all parts. SO, we see they all have an x, so that is the first thing you can factor out. They also have
2x(5x2 4x -3) C
Answer:
Step-by-step explanation:
Let's set up a proportion using the following setup.
We know 30 buses can carry 1,500 people.
We don't know how many people 5 buses can carry, so we say 5 buses carry x people.
Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.
Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.
5 buses can carry 250 people.
Answer:
y = 3x + 3
Step-by-step explanation:
If the entire line, or rather, the graph, is translated upwards by 5 units; the slope stays the same, but the y-intercept rises by 5 as well. Thus, the equation of the new graph would be;
y = 3x (-2+5)
y = 3x + 3
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
Answer:
45.24m
Step-by-step explanation:
Area of square = s^2
128 = s^2
s^2 = 11.31m.
This is the length of ONE SIDE.
Squares have four sides.
Homeboy wants to place a fence bordering is entire yard. AKA four sides.
11.31*4= 45.24m