Answer:
130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min
Step-by-step explanation:
1: y-intercept = (0, 130)
2: take two points (0, 130) & (30, 80)
use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3
3: line equation is y=-4/3x+130
make y=0
0=-4/3x+130
-130=-4/3x
-130/-4/3=x
97.5=x
Answer: x= 7
Step-by-step explanation:
-2x= -14 Divide both sides by -2
x= 7
check
-2(7) = -14
-14 = -14
Answer:
Yes
Step-by-step explanation:
Absolute value means distance from 0 (which is always positive), so if the number inside is negative you take the opposite.
|-217| = 217
|203| = 203
217 > 203
Answer:
Part A: 5 1/3 + b = 9
Part B: 11/3 of bushels or 3.7 or 3 2/3
Step-by-step explanation:
Part A is simple because 5 1/3 apples plus the leftover must equal 9. So 5 1/3 + b = 9
Part B is also pretty easy because all you need to do is subtract 5 1/3 apples from 9 to find what b is.
b = 9 - 5 1/3
b = 27/3 - 16/3
b = 11/3
Answer:
ANSWER:
{(2,4),( 3, 6),(4, 8)} is a function
Given a relation in x and y, we say y is a function of x if for each element x in the domain, there is exactly one value of y in the range. It is a rule of correspondence between two nonempty sets, such that, to each element of the first is called domain, there correspondents one and only one element of the second is called range.
To determine whether it is function or not by using the vertical line test. If the graph passed to Vertical line test it is consider as function. The graph of function defines y as a function of x if no vertical line intersects the graph in more than one point.
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates for example ( -1, 2), ( 1, 0), (2, 1) . The second example is not a function, because it contains the ordered pairs (1,2) and (1,4). the first set is repeated . These have the same first coordinate and different second coordinates.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.