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Fantom [35]
3 years ago
14

In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the gr

aph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function
Show step by step!
Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Yo sup??

To find the turning point we have to differentiate the given function.

T(x)=(x-4)3+6

T'(x)=3

Therefore the turning point is at 3

Hope this helps.

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A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price
Gnom [1K]

Answer:

The new price of the books = $60.75

Step-by-step explanation:

  • As the original price is: $45

As the markup is: 35% = 35/100 = 0.35

The Markup on the original price is:

0.35 × 45 = $15.75

Hence, the new price of the boots:

$45 + $15.75 = $60.75

Therefore, the new price of the books = $60.75

6 0
3 years ago
The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?
mamaluj [8]
The answer would be twenty five because x-3 \geq 2
 equals x  \geq 5 leaving you with x = 5 at a minimum. So 5x: 5 x 5 = 25

Hope this helps! :)
5 0
3 years ago
Use the coordinates to find the perimeter of the rectangle. D(1,2), E(1,7), F(4,7), G(4,2) *
JulsSmile [24]

Answer:

  16

Step-by-step explanation:

DE is the vertical line x=1. It extends between y=2 and y=7, a distance of 5 units.

EF is the horizontal line y=7. It extends from x=1 to x=4, a distance of 3 units.

Then the perimeter of half the rectangle is 5+3 = 8 units.

The perimeter of the rectangle is 2·8 = 16 units.

7 0
4 years ago
Make a number line and mark the points that represent the following values of x. 5x<12
Solnce55 [7]

Answer:

x=2.5

Step-by-step explanation:

5x<12          1. /5 on both sides

x= 2.5    

8 0
3 years ago
18 - 2x = y
DerKrebs [107]

B. Y equals 0, because if you plug it in ( multiply 2 by 9 ) you will get 18-18 which equals 0.
6 0
3 years ago
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