Answer:
858 thousand pounds
Step-by-step explanation:
The first field has an area of 16 acres; the second has an area "1 1/4 times bigger".
Most people will interpret that incorrectly, saying the area of the second field is 16 time 1 1/4, which is 20. But the grammatically correct interpretation of "1 1/4 times bigger" is the size of the first field, plus 1 1/4 more times the size of the first field.
So the size of the second field in acres is 16+%2B+1.25%2A16+=+36
So the first field has an area of 16 acres and the second has an area of 36 acres.
The first field yields 37.5 thousand pounds of wheat per acre. The total amount of wheat from the first field is 16%2A37500+=+600000
The yield from the second filed is 1 2/15 times as much per acre as the first field. The yield in pounds per acre for the second field is 37500%2A%2817%2F15%29+=+40500.
So the total amount of wheat from the second field is 36%2A40500+=+1458000
The difference in the total yield from the two fields is 1458000-600000+=+858000
The second field yielded 858 thousand pounds more of wheat.
Answer:
y= -2x
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
subst. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a coordinate.
When x= -4, y=8,
8= -2(-4) +c
8= 8 +c (expand)
c= 8-8 (-8 on both sides)
c=0 (simplify)
Thus, the equation of the line is y= -2x.
Same as the car one
A=Pe^(rt)
when it is a decay, make r negative
P=23781 and r=-0.032 and t=17
A=23781e^(-0.032*17)
A=23781e^(-0.554)
A=13803.01
so about 13803 people is the population after 17 years
The graph is a function. When drawing a vertical line, there will be two circumstances:
- The line intersects only one point on a graph.
- The line intersects more than one point on a graph ( POI > 1 )
For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.
The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.
Answer
- The graph passes the vertical line test and is a function.
4+3+1+1+1+1+1 =12
4x3x1x1x1x1x1=12