<span>For this case we have the following expression:
</span>
<span> We are going to make the following change of variables:
</span>
<span>Rewriting the expression we have:
</span>
<span>Factoring the expression we have:
</span>
<span>Canceling similar terms we have:
</span>
<span>Returning the change we have:
</span>
<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>
<span>
Answer: The simplified expression is: </span>
<span>
The restrictions are: </span>
Subtract x2 from x1 to get -7. After that subtract y2 from y1 to receive 3. That leaves you with -7/3 which simplified is -2.1333*
THE ANSWER IS A:
This is the function:
f(x)=|42.67-x|.
42.670 -.002 =42.668
42.668 mm to 42.670
Explanation:
Production will be stopped if the difference in diameter is greater than 0.002 mm.
This difference can mean that the golf ball has a diameter more than 0.002 larger than 42.67 mm, or a diameter more than 0.002 smaller than 42.67. This is the reason for using an absolute value function.
Absolute value represents the distance a number is from 0. For this function, we would want only the values where the function is less than 0.002.
So i'm assuming your eqtn is h = -16t^2 + 27t + 10
and we're looking for t = ? when h = 0
=> 16t^2 - 27t - 10 = 0
(16t + 5)(t - 2) = 0
t = 2 and t = -5/16
answer 2 seconds
First, we determine that the given equation in this item
is a linear equation. Thus, it should be a straight line. With this, we are
left with the third and fourth choice. Then, we substitute the given data
points to the equation and see if the points satisfy the given.
Choice 3:
<span> (1,3) :
(-5)(1) + (2)(3) = 1 TRUE</span>
<span> (3,8) :
(-5)(3) + 2(8) = 1 TRUE</span>
<span> (-3,-7)
: (-5)(-3) + (2)(-7) = 1 TRUE</span>
Choice 4:
<span> (4,-3) :
(-5)(4) + (2)(-3) ≠ 1 FALSE</span>
<span> (-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE</span>
<span> (-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE</span>
<span>Thus, the answer is the third choice.</span>