Answer:
(2,0) - x -intercept
(0, 1.5) - y-intercept
Step-by-step explanation:
The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.
The x values increase by 4.
So the rate of change is -3/4.
This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.
To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:
x y
-2 3
0 ???
2 0
6 -3
10 -6
14 -9
Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.
Answer:
(-2.4, 37.014)
Step-by-step explanation:
We are not told how to approach this problem.
One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually. A good graph done on a graphing calculator would be sufficient info for this estimation. My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.
Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3]. In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.
Optional: Another approach would be to use calculus: we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x. There would be four x-values, which we'd call "critical values."
Answer: 37
Step-by-step explanation: Since you drove 74 miles in 2 hours, you would divide 74 by 2 to find the miles per hour, which would be 37.
Answer:
z=3.3 repeating
Step-by-step explanation:
Move all terms that don't contain z to the right side and solve.
Answer:
Part 1) The algebraic expression is equal to 
or 
Part 2) The algebraic expression is equal to 
Step-by-step explanation:
Part 1) we have (n-1) increased by 110%
110%=110/100=1.10
so
The algebraic expression of (n-1) increased by 110% is equal to multiply 1.10 by (n-1)
Distributed
Part 2) we have n^(-1) increased by 110%
110%=110/100=1.10
so
The algebraic expression of n^(-1) increased by 110% is equal to multiply 1.10 by n^(-1)
Remember that
so
