Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.
<h3>What is the rate of change?</h3>
The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
A fertilizer covers 5/8 square feet in 1/6 hour.
5/8 square feet ⇒ 1/6 hour
Multiply both sides by 6
6 × 5/8 square feet ⇒ 6/6 hour
30/8 square feet ⇒ 1 hour.
Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".
To learn more about the rate of change here,
brainly.com/question/12786410
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-2=-1/6(3)+b
-2=-0.5+b
-1.5+b
y=-1/6 -0.5
Answer:
-i
Step-by-step explanation:
i^15
Divide the exponent by 4
15/4 = 3 r 3
Take the remainder and use as the exponent
i^3
We know that i^2 = -1
i^3 = i^2 *i
i^3 = -1*i
-i
Answer: 570.70 ft
Step-by-step explanation:
The perimeter is the distance around the entire parking lot.
The measurement of 150.23 ft by 135.12 ft is half of the distance of the lot because it represents just two sides yet there are 4 sides.
The other two sides have the same measurement as this is a rectangle.
The perimeter of the parking lot is:
= (150.23 * 2) + (135.12 * 2)
= 570.70 ft
