Answer:
50 apples, 42 oranges
Step-by-step explanation:
apples = a
oranges = o
Set up equations.
a + o = 92
4a + 2o = 284
Multiply first equation by 2 and subtract.
2a + 2o = 184
- (4a + 2o = 284)
-2a = -100
a = 50
Now substitute the a value into any equation.
a + o = 92
50 + o = 92
o = 42
Explanation:
Consider ...
x/a = b/c . . . . . find x
Multiplying by the denominator under x gives ...
x = ab/c . . . . the value of the unknown.
____
In the case where the unknown is in the denominator, you can invert the ratios and solve as above:
a/x = c/b . . . . . note that x is in the denominator
x/a = b/c . . . . . equivalent equation, solve as above
Answer:
Critical value f(1)=2.
Minimum at (1,2), function is decreasing for and increasing for
is point of inflection.
When 0<x<3, function is concave upwards and when x>3, , function is concave downwards.
Step-by-step explanation:
1. Find the domain of the function f(x):
2. Find the derivative f'(x):
This derivative is equal to 0 at x=1 and is not defined at x=0. Since x=0 is not a point from the domain, the crititcal point is only x=1. The critical value is
2. For the derivative f'(x)<0, then the function is decreasing. For the derivative f'(x)>0, then the function is increasing. This means that point x=1 is point of minimum.
3. Find f''(x):
When f''(x)=0, x=3 and
When 0<x<3, f''(x)>0 - function is concave upwards and when x>3, f''(x)>0 - function is concave downwards.
Point is point of inflection.
1000 jumps for 3 hours
To find how much you did per hour you have to divide 1000 by 3
1000:3= 333 jumps per hour
Answer:
Step-by-step explanation:
Robert Boyle was one of the most prolific figures in the scientific revolution and the leading scientist of his day. He discovered the Boyle's law, which shows that the volume and pressure of a gas are proportionally related.