Answer:
x ≈ 1.28
Step-by-step explanation:
I just took the exam:
Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.
I hope this helped! :)
Answer:
Ok tell me which mathematic game
Part A. Lest fin the zeros of our function first:
Step 1. Set the right side of the function equal to 0:

Step 2. Multiply both sides of the equation by -1

Step 3. Factor the left side:
Step 4. Set each factor equal to 0 and solve for

:

and


and

Since distances can't be negative, the zero of our function is

.
<span>We can conclude that the zero </span>
represents that when the horizontal distance of the diver is 3 ft, he is is in the surface of the pool. In other words, his vertical distance is zero.
Part B. To factor our quadratic equation

, we are going to use the method for simple cases because

:
Step 1. Find tow numbers whose product is

and its sum is

:
We know form our quadratic that

,

, and

, so

.
We want tow numbers that multiply together to make -18, and add up to 3.
Those number are 6 and -3.

and
Step 2. Rewrite the middle term

using those numbers:
Step 3. Factor the expression:



Remember the power rule

and the constant multipule rule

wher c is a constant
so

can be rewritten as

take deritivitve ad apply constnat multipule and power rule



at x=9

Answer:
Michele earns $98.60 extra over the holiday.
Step-by-step explanation:
$9.86•35=$345.10
$9.86•45=$443.70
(I got 45 by adding 10 to 35.)
443.70-345.10=$98.60