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:
30x
Step-by-step explanation:
missing must be 2×3x×5=30x
9x²+30x+25=(3x+5)²
Answer:
- Length of rectangle is 31 yards and Width is 24 yards.
Given:
- The length of a rectangle is 7 more than the width.
- The area is 744 sqaure yards
Solution:
Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.
Using formula
On Substituting the required values, we get;
As we know that width of the rectangle can't be negative. So x = 24
<u>Hence</u>,
- Width of rectangle = x = 24 yards
- Length of the rectangle = x + 7 = 31 yards
Length of rectangle is 31 yards<u> </u>and Width is 24 yards.
The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
We simply substitute 6 into the equation:
f(6) = -2(6 - 4)² + 22
f(6) = 14
The company's profit is 14 thousand dollars
hope it helped :).
